MMAE Guide to Graduate Studies

Illinois Institute of Technology

August 25, 2017

Contents

1 Introduction 31.1 MMAE Graduate Programs . . . . . . . . . . . . . . . . . . . . . 41.2 General Operating Procedures . . . . . . . . . . . . . . . . . . . 4

1.2.1 Advising Procedures . . . . . . . . . . . . . . . . . . . . . 41.2.2 Registration Procedures . . . . . . . . . . . . . . . . . . . 51.2.3 Plan of Study . . . . . . . . . . . . . . . . . . . . . . . . . 51.2.4 Changes in Degree Program . . . . . . . . . . . . . . . . . 61.2.5 Departmental Financial Assistance Policy . . . . . . . . . 71.2.6 MMAE Seminar . . . . . . . . . . . . . . . . . . . . . . . 71.2.7 Academic Probation . . . . . . . . . . . . . . . . . . . . . 81.2.8 Repeating a Course . . . . . . . . . . . . . . . . . . . . . 81.2.9 Leave of Absence . . . . . . . . . . . . . . . . . . . . . . . 81.2.10 Non-Degree Seeking Status . . . . . . . . . . . . . . . . . 81.2.11 Delayed Graduation . . . . . . . . . . . . . . . . . . . . . 9

2 Masters Students (MS and ME) 102.1 Degree Requirements . . . . . . . . . . . . . . . . . . . . . . . . . 10

2.1.1 Mechanical and Aerospace Engineering (MAE) . . . . . . 102.1.2 Materials Science and Engineering (MSE) . . . . . . . . . 112.1.3 Manufacturing Engineering (MFG) . . . . . . . . . . . . . 11

2.2 Master of Science Programs (MS) . . . . . . . . . . . . . . . . . . 112.2.1 Master of Science in Mechanical and Aerospace

Engineering . . . . . . . . . . . . . . . . . . . . . . . . . . 122.2.2 Master of Science in Mechanical and Aerospace

Engineering with E3 Specialization . . . . . . . . . . . . . 122.2.3 Master of Science in Manufacturing Engineering . . . . . 132.2.4 Master of Science in Materials Science and

Engineering . . . . . . . . . . . . . . . . . . . . . . . . . . 142.2.5 Master of Science in Materials Science and

Engineering with E3 Specialization . . . . . . . . . . . . . 142.3 Master of Engineering Programs (ME) . . . . . . . . . . . . . . . 15

2.3.1 Master of Mechanical and Aerospace Engineering . . . . . 152.3.2 Master of Mechanical and Aerospace Engineering with E3

Specialization . . . . . . . . . . . . . . . . . . . . . . . . . 15

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2.3.3 Master of Manufacturing Engineering . . . . . . . . . . . 162.3.4 Master of Materials Science and Engineering . . . . . . . 172.3.5 Master of Materials Science and Engineering

with E3 Specialization . . . . . . . . . . . . . . . . . . . . 172.4 Completion of Studies and Graduation . . . . . . . . . . . . . . . 18

2.4.1 MS Students . . . . . . . . . . . . . . . . . . . . . . . . . 182.4.2 ME Students . . . . . . . . . . . . . . . . . . . . . . . . . 19

3 Doctor of Philosophy (PhD) 203.1 Degree Requirements . . . . . . . . . . . . . . . . . . . . . . . . . 20

3.1.1 Degree Requirements for the PhD in Mechanical and AerospaceEngineering . . . . . . . . . . . . . . . . . . . . . . . . . . 21

3.1.2 Degree Requirements for the PhD in MaterialsScience and Engineering . . . . . . . . . . . . . . . . . . . 21

3.2 PhD Qualifying Exam . . . . . . . . . . . . . . . . . . . . . . . . 213.2.1 MAE Exam . . . . . . . . . . . . . . . . . . . . . . . . . . 223.2.2 MSE Exam . . . . . . . . . . . . . . . . . . . . . . . . . . 23

3.3 Thesis Research and PhD Examinations . . . . . . . . . . . . . . 233.3.1 PhD Advisory Committee . . . . . . . . . . . . . . . . . . 233.3.2 PhD Comprehensive Exam . . . . . . . . . . . . . . . . . 243.3.3 PhD Thesis Review and Defense Examination . . . . . . . 25

4 MMAE Courses 274.1 Engineering Analysis Courses . . . . . . . . . . . . . . . . . . . . 274.2 Courses Listed by Major Area . . . . . . . . . . . . . . . . . . . . 28

4.2.1 Fluid Dynamics . . . . . . . . . . . . . . . . . . . . . . . . 284.2.2 Thermal Sciences . . . . . . . . . . . . . . . . . . . . . . . 284.2.3 Solids and Structures . . . . . . . . . . . . . . . . . . . . 294.2.4 Dynamics and Control . . . . . . . . . . . . . . . . . . . . 304.2.5 Design and Manufacturing . . . . . . . . . . . . . . . . . . 304.2.6 Materials Science and Engineering . . . . . . . . . . . . . 31

4.3 Graduate Course Schedule and Frequencies . . . . . . . . . . . . 324.4 Course Descriptions . . . . . . . . . . . . . . . . . . . . . . . . . 32

4.4.1 Engineering Analysis . . . . . . . . . . . . . . . . . . . . . 324.4.2 Fluid Dynamics . . . . . . . . . . . . . . . . . . . . . . . . 334.4.3 Thermal Sciences . . . . . . . . . . . . . . . . . . . . . . . 344.4.4 Solids and Structures . . . . . . . . . . . . . . . . . . . . 364.4.5 Dynamics and Controls . . . . . . . . . . . . . . . . . . . 374.4.6 Design and Manufacturing . . . . . . . . . . . . . . . . . . 394.4.7 Materials Science and Engineering . . . . . . . . . . . . . 414.4.8 Research, Seminar, Special Topics and Project Courses . 434.4.9 Accelerated Courses . . . . . . . . . . . . . . . . . . . . . 44

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Chapter 1

Introduction

This guide serves as a supplement to the IIT Graduate Bulletin1 and as achecklist for graduate students with regard to the Mechanical, Materials andAerospace Engineering (MMAE) Department’s procedural requirements anddeadlines. Deadlines are established by the Graduate College, and are alsolisted on the Graduate Academic Affairs website. All Graduate College formsreferenced in these guidelines are available for download. The Graduate Stu-dent Handbook is another university publication that discusses the university’sacademic policies for graduate students and answers students’ most frequentlyasked questions. It is the student’s responsibility, with guidance from his/heradviser, to follow the procedures and meet the specified deadlines. These dead-lines are not flexible and failure to meet them will result in postponement of thestudent’s graduation. For your reference, this guide is available on the MMAEdepartmental web site.

Contacts:

Chair: Prof. Sumanta AcharyaGraduate Studies Committee Chair: Prof. Sudhakar NairDepartment Coordinator: Ms. Jessica Nicholson

The MMAE faculty has the ultimate responsibility for the comprehensivedepartmental program. The Chairman of the Department, in consultation withthe faculty, appoints faculty members to serve on the Graduate Studies Commit-tee (GSC). The GSC approves all ordinary procedural matters, which includestudent programs of study and appointments of committees to evaluate studentexaminations. When extraordinary changes in degree programs or in depart-mental policies are warranted, the GSC will make recommendations to the fac-ulty for discussion and approval. The Graduate Studies Committee Chair leadsthe Committee and handles the day-to-day obligations of the graduate studiesprogram, including graduate admissions and new student advising.

1Blue text in the electronic version of this PDF document provides links to the specifiedresources or information within this document or on the IIT or MMAE web sites.

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1.1 MMAE Graduate Programs

The MMAE Department offers graduate programs in Mechanical and AerospaceEngineering (MAE), Materials Science and Engineering (MSE), and Manufac-turing Engineering (MFG). The degrees that the department offers are summa-rized below.

Mechanical and Aerospace Engineering (MAE)

• Master of Science in Mechanical and Aerospace Engineering (MSMAE)

• Master of Mechanical and Aerospace Engineering (MEMAE)

• Doctor of Philosophy in Mechanical and Aerospace Engineering (PhD-MAE)

Materials Science and Engineering (MSE)

• Master of Science in Materials Science and Engineering (MSMSE)

• Master of Materials Science and Engineering (MEMSE)

• Doctor of Philosophy in Materials Science and Engineering (PhDMSE)

Manufacturing Engineering (MFG)

• Master of Science in Manufacturing Engineering (MSMFG)

• Master of Manufacturing Engineering (MEMFG)

For information on co-terminal bachelors and masters degree programs, seethe Co-Terminal Degrees website

1.2 General Operating Procedures

1.2.1 Advising Procedures

All new graduate students are assigned an advisor at the time of admission whowill assist in the selection of courses. MS and PhD students are encouragedto find a permanent thesis advisor as soon as possible. To change permanentadvisers, a student needs to complete the online Change of Adviser form. Allstudents are required to submit a Plan of Study via Graduate DegreeWorksbefore the beginning of the second semester for full-time students or beforeenrollment beyond 9 credit hours for part-time students. All graduate studentsare advised to update their mailing addresses, email addresses, and/or telephonenumbers on myIIT so that IIT has accurate contact information.

Students should consult with their advisers as early as possible in order toplan their courses. Students registering for any of the following courses requirean online registration override from their adviser prior to registering:

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• MMAE 591 Research and Thesis for MS Degree2

• MMAE 594 Project for Masters of Engineering Degree3

• MMAE 691 Research and Thesis for PhD Degree

Students registering for MMAE 597 Special Topics must obtain an online reg-istration override from the corresponding instructor prior to registering.

1.2.2 Registration Procedures

The schedule of classes for each semester is available on the myIIT portal, wherestudents can also register for classes. After having the course selection approvedby the student’s advisor and obtaining a term-specific Alternate PIN from theportal (or advisor), students complete the online registration process. Otherholds may be placed on student accounts by various departments such as theGraduate College and the Student Accounting Office. For example, studentswho have not submitted a Plan of Study prior to completing nine credit hours,or those who owe tuition or fees, will have their registration withheld until suchmatters have been settled. Students are encouraged to check their accounts forholds prior to registering in order to clear them in a timely fashion. Continu-ing full-time students may register in advance in April (for fall semester) andNovember (for spring semester).

A graduate student is considered full-time in a given semester if he/shehas enrolled for at least 9 credit hours (6 for students holding a fellowshipor teaching/research assistantship). All students who do not meet the abovecriteria are considered part time. International students must maintain full-time status in each semester (excluding summers) during their studies at IIT.Under a limited set of circumstances, this requirement can be waived. To doso, the international student must fill out the Less than Full-Time EnrollmentEligibility Form with their advisor and submit it to the International Center.For example, it is possible for an international student to be part time in thesemester in which they will complete the degree program.

Graduate students receiving financial assistance from the department in theform of a research or teaching assistantship are required to be registered fortheir courses before their payment paperwork can be processed.

1.2.3 Plan of Study

Students are required to select courses with guidance from their adviser andsubmit an electronic Plan of Study through Graduate DegreeWorks before thebeginning of the second semester for full-time masters students or before com-pleting nine credit hours for part-time masters students. PhD students who haveearned a masters degree must file a Plan of Study before beginning the secondsemester, or before completing nine credit hours. Doctoral students without a

2Master of Science students - MSMAE, MSMSE or MSMFG3Master of Engineering students - MEMAE, MEMSE or MEMFG

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masters degree must file an approved Plan of Study before completing 27 credithours in the PhD program. The Plan of Study form, once approved by theadviser, also requires approval of the MMAE Department and the GraduateCollege. Students should allow sufficient time for approval.

Note the following when devising a Plan of Study for all degree programs:

• All full-time students must register each semester for the department sem-inar, MMAE 593. See section 1.2.6.

• Degree-seeking students may take up to six credit hours of accelerated(700-level) courses.

• Non-MMAE courses may be taken as elective courses with adviser anddepartmental approval. This may include no more than three credit hoursfrom the School of Applied Technology, the Stuart School of Business, orENGR courses from Armour College.

• Up to nine credit hours of transfer credit from other institutions is permit-ted if a grade of B, or better, is obtained and the courses were not taken tomeet the requirements of another completed degree. All transfer coursesmust be approved via written notification by the current instructor of thesubject course. This will typically require review of the course description,syllabus, and any other materials requested by the instructor for transferapproval. Mechanical and Aerospace engineering students cannot transferMMAE 501, MMAE 502, or the core course in their major area. Corecourses in areas other than their major area can be transferred. Transfercourses are included in the appropriate section of the Plan of Study. (Notethat this does not apply to PhD students who have obtained their MS atanother institution. In such cases, the entire M.S degree is applied towardthe PhD degree requirements, and specific courses are not transferred).

• A maximum of nine credit hours of non-core courses can be taken at the400 level in the MAE program provided that the courses were not takento fulfill undergraduate degree requirements.

• A maximum of twelve credit hours at the 400 level can be taken in the MSEprogram provided that the courses were not taken to fulfill undergraduatedegree requirements.

1.2.4 Changes in Degree Program

Students who have been admitted to a MS or PhD program within the MMAEDepartment who wish to switch to the ME (or MS in the case of PhD) programwithin the department must follow the following procedure:

1. Discuss the reasons for the change with the student’s current advisor andobtain their endorsement.

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2. Meet with the Chair of the Graduate Studies Committee to discuss thespecifics of the change. For example, it is possible that not all coursestaken toward the previous degree may be applied to meet requirements inthe new degree.

3. Fill out a new Plan of Study indicating the new degree and reflectingthe courses that have been taken and will be taken to meet the degreerequirements. Note that no more than four credit hours of MMAE 591may be applied toward the 30 credit hour requirement for the ME degree.No more than four credit hours of MMAE 691 can be applied toward theMS degree. Upon approval by the MMAE Department and the GraduateCollege, the new Plan of Study will supersede the student’s previous pro-gram of study, and the student will be officially enrolled in the new degreeprogram.

Note that the above procedure only applies to students changing programswithin the MMAE Department. Changing programs between departments re-quires submission of a new application.

1.2.5 Departmental Financial Assistance Policy

The Mechanical, Materials, and Aerospace Engineering Department has a lim-ited number of teaching assistantships available to graduate students in thedepartment who show high potential for success in the programs and have thenecessary teaching skills. Applications are sought near the end of each semesterfor the following term. The Department Chair, in consultation with the Chairof the Graduate Studies Committee, awards these assistantships to the mostqualified students for a certain period of time during their degree programs. Inorder to make these awards to as many deserving students as possible, teachingassistantships are awarded for a maximum number of semesters as follows:

• MS students: 2 semesters

• PhD students: 4 semesters

Master of Engineering (ME) students are not eligible for teaching assistantships.The availability of these assistantships is dependent upon funding and the needsof the department. Students are encouraged to pursue a research assistantshipas early as possible in their program. Research assistantships are available tofull-time Master of Science and Doctor of Philosophy degree students and areawarded by individual faculty members.

The IIT Office of Financial Aid offers financial assistance to graduate stu-dents in the form of work opportunities and loans. Please consult their websitefor further information.

1.2.6 MMAE Seminar

All full-time MMAE students must register for the Department Seminar SeriesMMAE 593 every semester. The seminar is a no fee, no credit class, but registra-

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tion and attendance is mandatory. The seminar is a pass/fail class and will begraded on attendance. A student will receive a passing grade if he/she attends aminimum of 80 percent of the seminars offered in that semester. Students mustregister for the seminar every semester they are full-time graduate students.They must pass the seminar I ≥ x times in the following formula x = (n+1)/2,where I is an integer and n is the number of semesters a student is enrolled asa full-time graduate student. For example, a typical masters student is enrolledfull-time four semesters and would need to pass the seminar (4 + 1)/2, or 3times. Please note that this is a departmental graduation requirement.

1.2.7 Academic Probation

A graduate student whose cumulative GPA falls below 3.0 is placed on academicprobation for the following semester. If on probation, the student must meetwith the Graduate College, Office of Academic Affairs, to fill out Form G702,Academic Probation Contract, before registering for classes. This form mustalso be signed by the student’s advisor. Students on academic probation mustnot receive any grade below a B while their overall GPA is below 3.0. If astudent’s GPA in his or her approved program of study is below 3.0, thengraduate courses may be added to the program until the corresponding GPA isat least 3.0.

1.2.8 Repeating a Course

Students may repeat up to two distinct courses, with each course being repeatedonce. Both grades will be recorded on the student’s transcript, and the gradeused in the calculation of the GPA will be the latest recorded.

1.2.9 Leave of Absence

Admitted degree seeking students are expected to maintain continued registra-tion (excluding summer semesters) until graduation unless they are granted aleave of absence from the Graduate College. For this purpose, use Request forUniversity Withdrawal or Leave of Absence. A student who withdraws withoutpermission, or who lets a granted leave of absence expire, must apply to thedepartment for readmission. If less than three years has lapsed since the stu-dent registered, readmission normally requires a letter of endorsement from thestudent’s adviser to the Graduate College. For absences of three years or more,a new application and supporting documents (transcripts, letters of recommen-dation, etc.) are required.

1.2.10 Non-Degree Seeking Status

A student who has not obtained admission to a degree program may seek toregister as a non-degree seeking student. Non-degree seeking graduate students

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must complete an application form and submit an official transcript of all previ-ous undergraduate and graduate work to the Graduate Admissions Office. Theminimum requirements for permission to register, set by the Graduate College,are a bachelor’s degree from an accredited institution and a GPA of a minimumof 2.5/4.0 or equivalent. Foreign students with F-1 visas issued at the requestof IIT may not be enrolled as non-degree seeking graduate students.

A non-degree seeking graduate student must complete a minimum of sixcredit hours of eligible course work (maintaining a GPA of 3.0 or better) be-fore submitting an application to become a regular graduate student in a degreeprogram. Note that maintaining the minimum GPA requirement does not guar-antee admission to the MMAE Department’s graduate program. No more thannine credit hours of course work taken as a non-degree seeking graduate studentmay be applied towards the student’s program of study for the degree.

1.2.11 Delayed Graduation

Students who do not complete the graduation requirements in the semester inwhich they have applied for graduation must do the following in the subsequentsemester in addition to completing the missing requirements:

• Submit a new Graduation Application, Form G527 (the fee is waived).AND

• Register for one credit hour of GCS 600, Graduate Continuation of Stud-ies, if all course hours and research is complete and the thesis defense isapproved, but other degree requirements are incomplete such as thesis ex-aminer document approval. Tuition for GCS 600 is at a reduced rate anddoes NOT force student to full-time status; therefore, this option is notavailable to international students. OR

• Register for MMAE 591 or 691 for a minimum of one credit hour at theusual tuition rate. This does force student to full-time status.

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Chapter 2

Masters Students (MS andME)

2.1 Degree Requirements

Students with bachelors degrees in mechanical engineering, materials science andengineering, aerospace engineering, or other related fields are eligible to applyfor masters degrees in the MMAE department. Once admitted, the student’sadvisor will help the student formulate a program of study that includes 30credit hours for the non-thesis Master of Engineering (ME) degrees or 32 credithours for the Master of Science (MS) degrees, which include research and athesis. The Master of Engineering degrees are course-only programs that mayinclude a project. The Master of Science degrees require 6–8 credit hours ofMMAE 591, Thesis and Research for MS Degree, which is included in the totalof 32 required credit hours. The MS degrees require completion of a thesis basedon the student’s research and a Masters Comprehensive Exam during which thestudent presents his/her research.

2.1.1 Mechanical and Aerospace Engineering (MAE)

All MAE students are expected to demonstrate proficiency in Engineering Anal-ysis, normally accomplished by taking one or two courses. Masters studentsselect a major area from five basic areas of study: Fluid Dynamics, ThermalSciences, Solids and Structures, Design and Manufacturing, Dynamics and Con-trols, or a specialization in Energy/Environment/Economics (E3). MS studentsare required to take the core course for their chosen major, area and six to eightcredit hours of thesis. Master of engineering students are required to take anengineering analysis course, one course that emphasizes numerical methods, andthe core course in their major area. The core courses corresponding to the fivemajor areas are:

• Fluid Dynamics: MMAE 510 Fundamentals of Fluid Mechanics

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• Thermal Sciences: MMAE 520 Advanced Thermodynamics or MMAE 525Fundamentals of Heat Transfer

• Solids and Structures: MMAE 530 Advanced Mechanics of Solids

• Dynamics and Controls: MMAE 541 Advanced Dynamics

• Design and Manufacturing: MMAE 545 Advanced CAD/CAM

The approved MMAE courses that emphasize numerical methods are:

• MMAE 451/CAE 442 Finite Element Methods in Engineering

• MMAE 517 Computational Fluid Dynamics

• MMAE 532/CAE 530 Advanced Finite Element Methods

• MMAE 544 Design Optimization

• MMAE 570 Computational Methods in Materials Processing

Courses offered by other departments with an emphasis in numerical methodscan also be used to satisfy the numerical requirement. Such requests will beconsidered on a case-by-case basis by the GSC. The required courses for theME and MS degrees in MAE are listed in the tables below.

2.1.2 Materials Science and Engineering (MSE)

Master of Science in MSE students must complete six designated materials sci-ence and engineering courses as outlined in the following tables. The remainingcredit hours are fulfilled by elective courses and thesis research. Master of engi-neering students are required to complete six designated materials science andengineering courses as listed for the MS students. The remaining credit hoursare fulfilled by elective courses. The designated courses for the ME and MSdegrees in MSE are listed in the tables below.

2.1.3 Manufacturing Engineering (MFG)

All manufacturing engineering students are expected to complete a series of re-quired courses. Students must select either a mechanical and aerospace (MAE)or a materials science and engineering (MSE) emphasis. Students are requiredto take additional courses depending on their area of emphasis. The remainingcredit hours must be fulfilled by elective courses approved by the adviser. Stu-dents in the Master of Science program must take six to eight credit hours ofthesis. The required courses for the ME and MS degrees in MSE are listed inthe tables below.

2.2 Master of Science Programs (MS)

In the following tables, see Chapter 4 for a list of engineering analysis, core, andelective courses in each major area.

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2.2.1 Master of Science in Mechanical and AerospaceEngineering

Engineering analysis courses: MMAE 501 and MMAE 502 (6 credits)Core course in major area: 3-4 creditsElective courses: 14-17 creditsThesis research: MMAE 591 Thesis (6-8 credits)Total hours: 32

2.2.2 Master of Science in Mechanical and AerospaceEngineering with E3 Specialization

Engineering analysis courses: MMAE 501 and MMAE 502 (6 credits)Core courses in major area: MMAE 520, MMAE 525, CHE 503, or CHE 553

MMAE 522, MMAE 523, MMAE 524, or CHE 541CHE 543

Non-core courses in major area: 2 courses from Group A and 1 course from Group BThesis research: MMAE 591 Thesis (6-8 credits)Remaining hours: Elective courses if neededTotal hours: 32

Group A: MMAE 524, MMAE 525, MMAE 526, MMAE 527

Group B: CHE 541, CHE/MMAE 560, ENVE 501, ENVE 506, ENVE 542,ENVE 551, ENVE 561, ENVE 570, ENVE 577, ENVE 578, ENVE 580

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2.2.3 Master of Science in Manufacturing Engineering

MAE Emphasis

Required courses:

18 credits including:

MMAE 545MMAE 546MMAE 547MMAE 560MMAE 445, MMAE 574, or MMAE 576One course emphasizing numerical methods

Elective courses: 8-11 creditsThesis research: MMAE 591 Thesis (6-8 credits)Total hours: 32

MSE Emphasis

Required courses:

15 credits including:

MMAE 547MMAE 560MMAE 445, 545, 546, or 576MMAE 563 or 569One course emphasizing numerical methods

Elective courses: 9-11 creditsThesis research: MMAE 591 Thesis (6-8 credits)Total hours: 32

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2.2.4 Master of Science in Materials Science andEngineering

Materials courses

6 courses from:

MMAE 461, MMAE 470, MMAE 472,MMAE 501, MMAE 520, MMAE 533, MMAE 554,MMAE 561 through MMAE 580

Elective courses: 6-8 creditsThesis research: MMAE 591 Thesis (6-8 credits)Total hours: 32

2.2.5 Master of Science in Materials Science andEngineering with E3 Specialization

Core courses: MMAE 520, CHE 503, or CHE 553MMAE 522, MMAE 523, CHE 541, or CHE 566MMAE 554MMAE 569CHE 543

Non-core courses: 2 courses from Group A and 1 course from Group BThesis research: MMAE 591 Thesis (6-8 credits)Remaining hours: Elective courses if neededTotal hours: 32

Group A: MMAE 470, MMAE 525, MMAE 561, MMAE 563, MMAE 566,MMAE 579

Group B: CHE 541, ENVE 501, ENVE 506, ENVE 542, ENVE 551,ENVE 561, ENVE 570, ENVE 577, ENVE 578, ENVE 580

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2.3 Master of Engineering Programs (ME)

2.3.1 Master of Mechanical and Aerospace Engineering

Engineering analysis courses: MMAE 501 (6 credits)and MMAE 502 or course emphasizing numerical methods

Core course in major area: 3-4 creditsElective courses: 20-21 creditsTotal hours: 30

2.3.2 Master of Mechanical and Aerospace Engineeringwith E3 Specialization

Engineering analysis course: MMAE 501 (6 credits)and MMAE 502 or course emphasizing numerical methods

Core courses in major area: MMAE 520, MMAE 525, CHE 503, or CHE 553MMAE 522, MMAE 523, MMAE 524, or CHE 541CHE 543

Non-core courses in major area: 2 courses from Group A and 1 course from Group BRemaining hours: Elective coursesTotal hours: 30

Group A: MMAE 524, MMAE 525, MMAE 526, MMAE 527

Group B: CHE 541, CHE/MMAE 560, ENVE 501, ENVE 506, ENVE 542,ENVE 551, ENVE 561, ENVE 570, ENVE 577, ENVE 578, ENVE 580

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2.3.3 Master of Manufacturing Engineering

MAE Emphasis

Required courses:

18 credits including:

MMAE 545MMAE 546MMAE 547 or MMAE 557MMAE 560MMAE 445, MMAE 546, or MMAE 576One course emphasizing numerical methods

Elective courses: 12 creditsTotal hours: 30

MSE Emphasis

Required courses:

15 credits including:

MMAE 547MMAE 560MMAE 445, 545, 546, or 576One course emphasizing numerical methods

Elective courses: 15 creditsTotal hours: 30

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2.3.4 Master of Materials Science and Engineering

Materials courses

6 courses from:

MMAE 461, MMAE 470, MMAE 472,MMAE 501, MMAE 520, MMAE 533, MMAE 554,MMAE 561 through MMAE 580

Elective courses: 12 creditsTotal hours: 30

2.3.5 Master of Materials Science and Engineeringwith E3 Specialization

Core courses: MMAE 520, CHE 503, or CHE 553MMAE 522, MMAE 523, CHE 541, or CHE 566MMAE 554MMAE 569CHE 543

Non-core courses: 2 courses from Group A and 1 course from Group BRemaining hours: Elective courses if neededTotal hours: 30

Group A: MMAE 470, MMAE 525, MMAE 561, MMAE 563, MMAE 566,MMAE 579

Group B: CHE 567, ENVE 501, ENVE 506, ENVE 542, ENVE 551,ENVE 561, ENVE 570, ENVE 577, ENVE 578, ENVE 580

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2.4 Completion of Studies and Graduation

Within two weeks of the start of the intended graduation semester, the studentfiles a Form G527, Application for Graduation, with the Graduate AcademicAffairs Office. After the application is filed, the Graduate College providesa form entitled, “The Sequence of Events and Deadlines,” applicable to thatsemester. Note that students must be registered for a minimum of one credithour in the semester in which they graduate, including the summer semester.If the student fails to graduate in the intended semester, see Section 1.2.11.

2.4.1 MS Students

Graduating MS students must submit Form G300, Masters Final Thesis orComprehensive Exam Committee and Exam Scheduling, for approval by theDepartment Chair. The approved form must be submitted to the GraduateCollege no later than two weeks prior to the exam date. The examinationcommittee consists of at least three faculty members whose purpose it is toevaluate the student’s thesis and carry out the comprehensive examination.The committee includes the student’s advisor, and one of the three facultymembers must be a departmental representative from a discipline different thanthe student’s major area of study.

A mandatory thesis preparation discussion is held early each semester by theThesis Examiner to assist students in preparing their thesis and alerting themto problems that may occur. The student’s initial appointment with the ThesisExaminer must be made at least six weeks before the end of the anticipatedgraduation semester. Meetings are by appointment only. The MMAE student’sthesis must conform to the guidelines given in the latest IIT Thesis Manual,which can be found on the thesis information web site. The latest version ofthe IIT Thesis Manual can be downloaded from this web site. Ready-madetemplates (Microsoft Word and LATEX) can also be downloaded from this site.

The student prepares a preliminary draft of his/her thesis at least five weeksbefore graduation for approval by the Thesis Examiner.

At least seven days prior to the comprehensive examination, the studentdistributes copies of the approved thesis draft to the thesis committee members.His/her adviser then emails all MMAE faculty members announcing the placeand time of the examination. The email should include an abstract of the thesis.It is the student’s responsibility to ensure that the email is sent on time. Failureto do so may result in rescheduling of the examination.

The thesis committee conducts a comprehensive oral examination on thestudent’s thesis and related areas. The examination is open to all IIT faculty.The examination is scheduled at a mutually convenient time and date, butmust be taken at least fifteen days prior to the end of the semester. The adviserreports the results of the examination to the department using MMAE Form103, Results of Masters Comprehensive Examination (available in the MMAEmain office to faculty members only) and Form G303, Masters Comprehensive/PhD Qualifying Exam, which will be provided to the student’s advisor by the

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Graduate College. Exam results reported on Form G303 must be submitted tothe Graduate College within 48 hours of the exam and received no later thanone week prior to the last day of classes.

The student obtains signature approvals of the final thesis draft from his/heradviser, all thesis committee members, and the Department Chair on FormG501, Final Thesis Approval. The student pays the advanced degree fee at theStudent Accounting Office and meets with the Thesis Examiner for final thesisapproval. The student should bring three unbound copies of the completedthesis in marked manila envelopes with their adviser’s original signature on thetitle pages along with a receipt showing payment of fee and Form G50lB bearingall approval signatures except that of the Thesis Examiner.

Note: The three thesis copies are bound and distributed to the library, thedepartment archives, and the adviser. The Graduate College will not providebinding for more than three copies. Additional personal bound hard copies canbe obtained by using IIT Office Services.

2.4.2 ME Students

ME candidates are not required to complete a thesis or a comprehensive exami-nation. As a result of the successful completion of all required course work, thestudent graduates and is awarded a Master of Engineering Degree.

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Chapter 3

Doctor of Philosophy (PhD)

3.1 Degree Requirements

Although it is possible to apply directly to the PhD program upon receipt ofa bachelors degree, the majority of those entering the PhD program will havealready completed a Master of Science degree. Students who have earned a MSdegree from IIT and wish to pursue a doctorate must reapply to the GraduateCollege through the Graduate Admissions Office. Typically, all of the workdone towards a masters degree in the same field will apply toward satisfying therequirements for the PhD Students who wish to transfer a masters degree in adifferent field should be prepared to provide course descriptions and/or syllabito the GSC. The GSC will evaluate the student’s transcripts and supportingdocumentation to determine how many credits should be transferred and whichcourse requirements have been met by transfer courses.

The student’s thesis adviser will help the student formulate an overall planof study, including course work and a plan of research. The program of studymust include a total of 72 credit hours, of which up to 32 credit hours maybe from a completed MS degree. A PhD in Materials Science and Engineering(MSE) requires completion of six designated MSE courses, 24-36 credit hoursof research and elective courses that will be determined with consultation withtheir thesis adviser.

In the following tables, see Section 4 for a list of pre-approved engineeringanalysis courses and core and elective courses in each major area. Also notethat course and research credit hours taken during a MS degree apply towardsmeeting the PhD requirements listed in the tables.

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3.1.1 Degree Requirements for the PhD in Mechanicaland Aerospace Engineering

Engineering analysis courses MMAE 501, MMAE 502and two courses from group EA (12-14 credit hours)

Core course in major area 3-4 credit hoursCore course in second area 3-4 credit hoursNon-core courses in major area Minimum of 9 credit hoursThesis research MMAE 691 (24-36 credits)Remaining hours Elective coursesTotal 72 credit hours

Group EA: MMAE 503, MMAE 508, MMAE 509, MATH 512, MATH 515,MATH 522, MATH 535, MATH 544, MATH 545, MATH 553, ECE 505,ECE 511, ECE 531, ECE 533, ECE 567, CHE 530

Notes:

• Students whose major area is fluid dynamics, thermal sciences, or solidsand structures must take MMAE 509 as one of the courses in group EA.

• Care should be taken to be sure that all prerequisites are fulfilled for thecourses in Group EA (see Section 4).

• Other engineering analysis courses may be substituted with approval ofthe advisor and Graduate Studies Committee; however, substitutions maynot include primarily computational courses or courses with substantialoverlap with other engineering analysis courses taken.

3.1.2 Degree Requirements for the PhD in MaterialsScience and Engineering

Materials courses

6 courses from:

MMAE 461, MMAE 470, MMAE 472,MMAE 501, MMAE 520, MMAE 533, MMAE 554,MMAE 561 through MMAE 580

Thesis research MMAE 691 (24-36 credits)Remaining hours Elective coursesTotal 72 credit hours

3.2 PhD Qualifying Exam

Students who are admitted to the MMAE PhD program must pass a qualifyingexamination administered by the department in order to be admitted to candi-

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dacy for the PhD degree; each student has two attempts to pass the exam. Theexamination evaluates the student’s academic background in order to determinetheir potential for achieving a doctorate. It also encourages doctoral studentsto develop and maintain a solid knowledge of fundamentals across a broad setof areas in their chosen discipline.

3.2.1 MAE Exam

The PhD qualifying exam for MAE students is administered by the MMAEPhD Qualifying Exam Committee. Students are required to take the exam dur-ing their third semester of study in the PhD program, which allows students tocomplete the necessary coursework during their first two semesters. Requests todelay the qualifying exam beyond the third semester owing to special circum-stances must be made via petition to the MMAE Graduate Studies Committee.

The PhD qualifying examination for MAE students consists of a series oforal exams in three subject areas, including Engineering Analysis, the student’smajor area, and a second area. The scope of each exam is based on the materialfrom the following courses:

• Engineering Analysis: MMAE 501, Engineering Analysis I

• Fluid Mechanics: MMAE 510, Fundamentals of Fluid Mechanics

• Thermal Sciences: MMAE 525, Fundamentals of Heat Transfer

• Solid Mechanics: MMAE 530, Advanced Mechanics of Solids and under-graduate strength of materials

• Dynamics and Controls: MMAE 541, Advanced Dynamics and under-graduate dynamics and control systems

MAE students should submit the PhD Qualifying Exam Registration Formto the Chair of PhD Qualifying Exam Committee at least four weeks beforethe exam week. The exam will be offered during the second week of Septemberand the third week of January as a series of subject-area oral exams. The oralexams allow for assessment of a broad range of topics within a subject area atboth the conceptual and problem-solving levels. In addition, the oral examsserve to prepare students to present and defend their research. The exams willbe scheduled for all subject areas by the Chair of the PhD Qualifying ExamCommittee typically within a one-week timeframe. Each oral exam will beconducted separately and last approximately 45 minutes per subject per studentand be scheduled at one hour intervals. At least two subject-area faculty andone faculty member outside the area of the examination must be present at eachoral exam session; these three will conduct the exam and determine the pass/failoutcome for each oral exam. The exams are open to all faculty, including thestudent’s research advisor, for observation.

The student will receive a letter from the Chair of the PhD Qualifying ExamCommittee that describes the outcome of the overall exam at the end of the en-tire examination period. This outcome will be determined as follows depending

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on whether it is the student’s first or second attempt at taking the qualifyingexamination.

First Attempt: Take all three subject areas (Engineering Analysis, majorarea, second area)

• Pass 0 of 3 subject areas ⇒ Retake oral exam in 3 failed subject areas atthe next opportunity.

• Pass 1 of 3 subject areas ⇒ Retake oral exam in 2 failed subject areas atthe next opportunity.

• Pass 2 of 3 subject areas ⇒ Retake oral exam in 1 failed subject areas atthe next opportunity.

• Pass 3 of 3 subject areas ⇒ Pass PhD Qualifying Examination.

Second Attempt: Let n equal the number of failed subject areas in the firstattempt

• Pass less than n subject areas ⇒ Failed PhD Qualifying Examination

• Pass n of n subject areas ⇒ Pass PhD Qualifying Examination.

3.2.2 MSE Exam

The PhD qualifying examination for MSE students consists of an oral examadministered by a committee of MSE faculty. The level of the exam will assessbasic materials science and engineering concepts at the undergraduate level. Awritten research exam is also required where students submit a critical reviewof a published paper or research topic.

3.3 Thesis Research and PhD Examinations

3.3.1 PhD Advisory Committee

The purpose of the Thesis Advisory Committee is to assist the student in thesatisfactory and timely progression of the thesis research and to evaluate thecomprehensive and final oral examinations. The committee is nominated bythe student’s adviser using Form G301A in preparation for the ComprehensiveExam. Upon approval by the Department Chair, Form G301A is submitted tothe Graduate College. PhD students should submit Form G301B prior to thefinal oral examination, i.e. the PhD defense.

The MAE student’s PhD Advisory Committee must consist of at least fourfull-time IIT (tenured or tenure track) faculty members as follows:

• the student’s adviser, who acts as committee chair

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• one representative from the student’s major area

• one representative from outside the student’s major area but in the MAEprogram

• one representative from outside the MAE program

The PhD Advisory Committee for MSE students must consist of at least fourfull-time IIT (tenured or tenure track) faculty members as follows:

• the student’s adviser, who acts as committee chair

• two tenured or tenure-track professors of materials engineering

• one representative from outside the MSE program

Non-tenured or tenure-track IIT faculty, or scientists from outside IIT, mayserve as additional non-voting committee members with approval of the De-partment. The student must notify the Graduate College of the comprehensiveexam no later than two weeks prior to the exam date using Form G301A, PhDComprehensive Exam Committee and Exam Scheduling.

3.3.2 PhD Comprehensive Exam

Whereas the purpose of the PhD qualifying examination is to asses a student’stechnical background in the topical areas related to their degree program, theobjective of the comprehensive examination is to determine the student’s levelof competency in conducting research in the area of his/her thesis. The com-prehensive examination must be conducted at least one year before the PhDdefense examination.

The comprehensive exam consists of two components, a written and oralthesis proposal and a brief research report and presentation. The student mustsubmit a brief written thesis proposal to the PhD committee prior to the oralcomprehensive examination. During the comprehensive examination, the stu-dent is expected to present his/her thesis proposal. The approval of the proposalwill be based on a satisfactory oral presentation to the committee and evaluationof the written proposal.

In addition to the proposal, the PhD Committee will provide the studentwith a research topic that the student is to investigate the current literature, as-similate the current methods and knowledge related to the topic, suggest novelimprovements and approaches, and write a short report summarizing these is-sues. The topic of the written exam should be complementary to the studentsresearch area, but outside the scope of the student’s dissertation research. Thetopic must be sufficiently narrow to be amenable to completion within an ap-proximately two week time frame (including writing the report). The topicshould be conveyed to the student with a short background of the topic, a ref-erence(s) to use as a starting point, and some possible questions or issues toaddress.

The suggested Comprehensive Exam timeline is as follows:

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1. Student submits written dissertation proposal to PhD committee approx-imately two weeks prior to the oral exam.

2. Committee conveys written topic to student upon submission of the writ-ten proposal.

3. Student has approximately two weeks to research written topic and writea short report on his/her findings.

4. The written report is submitted to the committee members a couple ofdays prior to the oral exam.

5. Oral exam on written topic and dissertation proposal presentation. (Atthe committee’s discretion, the oral exam on the written topic and thethesis proposal may be conducted on separate days).

The results of the Comprehensive Examination are reported to the GraduateCollege on Form G309 by the student’s adviser in the presence of all membersof the Comprehensive Examination Committee, and should be returned to theGraduate College within 48 hours after the completion of the exam. Form G309will be provided to the advisor by the Graduate College and must be receivedno later than one week prior to the last day of classes.

3.3.3 PhD Thesis Review and Defense Examination

Within two weeks of the start of the intended graduation semester, the studentfiles a Form G527, Application for Graduation, with the Graduate AcademicAffairs Office. After the application is filed, the Graduate College providesa form entitled, “The Sequence of Events and Deadlines,” applicable to thatsemester. Note that students must be registered for a minimum of one credithour in the semester in which they graduate, including the summer semester.If the student fails to graduate in the intended semester, see Section 1.2.11.

A mandatory thesis preparation discussion is held early each semester by theThesis Examiner to assist students in preparing their thesis and alerting themto problems that may occur. The student’s initial appointment with the ThesisExaminer must be made at least six weeks before the end of the anticipatedgraduation semester. Meetings are by appointment only. The MMAE student’sthesis must conform to the guidelines given in the latest IIT Thesis Manual,which can be found on the thesis information web site. The latest version ofthe IIT Thesis Manual can be downloaded from this web site. Ready-madetemplates (Microsoft Word and LATEX) can also be downloaded from this site.

The Graduate College must be notified of the re-appointment of the commit-tee and the date, time and place of the examination. Form G301, PhD ThesisCommittee Final Oral Exam Scheduling must be submitted to the GraduateCollege at least two weeks prior to the exam and five weeks prior to the end ofthe semester.

Upon completion of the dissertation research, the student prepares a pre-liminary draft of his/her dissertation and submits copies to the PhD Advisory

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Committee. The student obtains approval of the preliminary draft of the disser-tation from the Thesis Examiner (by prior appointment) on Preliminary ThesisApproval, at least two weeks prior to the oral defense and 5 weeks before theend of the semester.

At least seven days prior to the final oral examination, the student distributescopies of the approved thesis draft to the thesis committee members. His/heradviser then emails all MMAE faculty members announcing the place and timeof the examination. The email should include an abstract of the thesis. It isthe student’s responsibility to ensure that the email is sent on time. Failure todo so may result in rescheduling of the examination.

After the preliminary draft of the dissertation is approved, the student de-fends his/her dissertation at a final oral public examination.1 The student’sPhD Advisory Committee conducts the final defense examination. The resultsof the Defense Examination are reported to the Graduate College on Form G309by the student’s adviser in the presence of all members of the PhD AdvisoryCommittee, and should be returned to the Graduate College within 72 hoursafter the final oral exam and no later than one week prior to the last day ofclasses. Once the final thesis draft is approved by the committee on Form G501,Final Thesis Approval, the student obtains his/her adviser’s signature on thefinal draft of the dissertation and pays the advanced degree fee in the StudentAccounting Office.

The student meets with the Thesis Examiner at least nine days before com-mencement for final dissertation approval (by prior appointment) with the fol-lowing:

• Three copies of dissertation in separately labeled manila envelopes

• Student Accounting Office receipt showing payment of fee

• Form G50l bearing all approval signatures except the final Thesis Exam-iner’s

• Two copies of dissertation abstract of less than 60 words in dissertationabstract style

• One copy of University Microfilms Agreement Form

• Two copies of the Survey of Earned Doctorates Form

• One separate title page

Note: The three thesis copies are bound and distributed to the library, thedepartment archives, and the adviser. The Graduate College will not providebinding for more than three copies. Additional personal bound hard copies canbe obtained by using IIT Office Services.

1The PhD final oral examination shall be open to the public without restriction. However,the committee appointed to conduct the examination may continue the defense and deliberatethe candidate’s performance and prepare its report in private.

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Chapter 4

MMAE Courses

4.1 Engineering Analysis Courses

The pre-approved engineering analysis courses are:

MMAE 501 Engineering Analysis IMMAE 502 Engineering Analysis IIMMAE 503 Advanced Engineering AnalysisMMAE 508 Perturbation MethodsMMAE 509 Introduction to Continuum MechanicsMATH 512 Partial Differential EquationsMATH 515 Ordinary Differential Equations and Dynamical SystemsMATH 522 Mathematical ModelingMATH 535 Optimization IMATH 544 Stochastic DynamicsMATH 545 Stochastic Partial Differential EquationsMATH 553 Discrete Applied Mathematics IECE 505 Applied Optimization for EngineersECE 511 Analysis of Random SignalsECE 531 Linear Systems TheoryECE 533 Robust ControlECE 567 Statistical Signal ProcessingCHE 530 Advanced Process Control

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4.2 Courses Listed by Major Area

The MMAE graduate programs have six different areas of study: Fluid Dy-namics, Thermal Sciences, Solids and Structures, Design and Manufacturing,Dynamics and Control, and Materials Science and Engineering. In this section,the core and non-core courses in each major area are listed in tabular form. Thecore course(s) in each area of study is marked in red italics.

4.2.1 Fluid Dynamics

MMAE 510 Fundamentals of Fluid MechanicsMMAE 511 Compressible FlowsMMAE 512 Viscous FlowsMMAE 513 Turbulent FlowsMMAE 514 Stability of Viscous FlowsMMAE 515 Engineering AcousticsMMAE 516 Advanced Experimental Methods in FluidsMMAE 517 Computational Fluid MechanicsMMAE 518 Spectral Methods in Computational Fluid Mechanics

Other relevant coursesMMAE 509 Introduction to Continuum MechanicsMMAE 508 Perturbation MethodsMMAE 525 Fundamentals of Heat TransferMMAE 527 Heat Transfer: Convection and RadiationCHE 536 Computational Techniques in EngineeringCHE 551 Fluid Dynamics

4.2.2 Thermal Sciences

MMAE 433 Design of Thermal SystemsMMAE 520 Advanced ThermodynamicsMMAE 522 Nuclear, Fossil-Fuel, and Sustainable Energy SystemsMMAE 523 Fundamentals of Power GenerationMMAE 524 Fundamentals of CombustionMMAE 525 Fundamentals of Heat TransferMMAE 526 Heat Transfer: ConductionMMAE 527 Heat Transfer: Convection and Radiation

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Other relevant coursesMMAE 509 Introduction to Continuum MechanicsMMAE 508 Perturbation MethodsMMAE 510 Fundamentals of Fluid MechanicsMMAE 512 Viscous FlowsMMAE 513 Turbulent FlowsMMAE 514 Stability of Viscous FlowsMMAE 516 Advanced Experimental Methods in FluidsMMAE 517 Computational Fluid MechanicsCHE 501 Transport PhenomenaCHE 503 Chemical Engineering ThermodynamicsCHE 505 Fluid PropertiesCHE 512 Heat TransferCHE 518 Mass TransferCHE 541 Renewable Energy TechnologiesCHE 543 Energy, Environment and EconomicsCHE 542 Fluid and Gas-Solid Flow

4.2.3 Solids and Structures

MMAE 451/CAE 442 Finite Element Methods in EngineeringMMAE 529 Theory of PlasticityMMAE 530 Advanced Mechanics of SolidsMMAE 531 Theory of ElasticityMMAE 532/CAE 530 Advanced Finite Element MethodsMMAE 533 Fatigue and Fracture MechanicsMMAE 535 Wave PropagationMMAE 536 Experimental Solid Mechanics

Other relevant coursesMMAE 509 Introduction to Continuum MechanicsMMAE 508 Perturbation MethodsMMAE 570 Computational Methods in Materials ProcessingMMAE 578 Fiber CompositesCHE 580 Biomaterials

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4.2.4 Dynamics and Control

MMAE 540 RoboticsMMAE 541 Advanced DynamicsMMAE 542 Applied Dynamical SystemsMMAE 543 Modern Control SystemsMMAE 550 Optimal State EstimationMMAE 551 Experimental MechatronicsMMAE 552 Introduction to the Space EnvironmentMMAE 555 Introduction to Navigation Systems

Other relevant coursesMMAE 508 Perturbation MethodsMMAE 544 Design OptimizationMMAE 560 Statistical Process and Quality ControlECE 505 Applied Optimization for EngineersECE 511 Analysis of Random SignalsECE 513 Communication Engineering FundamentalsECE 531 Linear System TheoryECE 533 Robust ControlECE 535 Discrete Time SystemsECE 537 Optimal Feedback ControlECE 567 Statistical Signal ProcessingECE 569 Digital Signal ProcessingBME 511 Physiological Control Systems and Modeling

4.2.5 Design and Manufacturing

MMAE 445 CAD/CAM with Numerical ControlMMAE 544 Design OptimizationMMAE 545 Advanced CAD/CAMMMAE 546 Advanced Manufacturing EngineeringMMAE 547 Computer Integrated Manufacturing – TechnologiesMMAE 557 Computer Integrated Manufacturing – SystemsMMAE 560 Statistical Process and Quality ControlMMAE 589 Applications in Reliability Engineering IMMAE 590 Applications in Reliability Engineering II

Other relevant coursesMMAE 433 Design of Thermal SystemsMMAE 540 RoboticsMMAE 551 Experimental Mechatronics

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4.2.6 Materials Science and Engineering

MMAE 468 Introduction to Ceramic MaterialsMMAE 470 Introduction to Polymer ScienceMMAE 472 Advance Aerospace MaterialsMMAE 554 Electrical, Magnetic and Optical Properties of MaterialsMMAE 561 SolidificationMMAE 562 Design of Modern AlloysMMAE 563 Advanced Mechanical MetallurgyMMAE 564 Dislocation and Strength MechanismsMMAE 565 Materials LaboratoryMMAE 566 Problems in High Temperature MaterialsMMAE 567 Fracture MechanismsMMAE 568 DiffusionMMAE 569 Advanced Physical MetallurgyMMAE 570 Computational Methods in Materials ProcessingMMAE 576 Materials and Process SelectionMMAE 578 Fiber CompositesMMAE 579 Characterization of Polymers

Other relevant coursesMMAE 451 Finite Element Methods in EngineeringMMAE 525 Fundamentals of Heat TransferMMAE 530 Advanced Mechanics of SolidsMMAE 532 Advanced Finite Element MethodsMMAE 533 Fatigue and Fracture MechanicsMMAE 577 Lasers in ManufacturingCHE 580 Biomaterials

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4.3 Graduate Course Schedule and Frequencies

The projected MMAE graduate course offerings are provided on the MMAEwebsite to enable students to plan an appropriate course sequence throughouttheir degree program. These projections are tentative and subject to change.

4.4 Course Descriptions

4.4.1 Engineering Analysis

MMAE 501 Engineering Analysis I Vectors and matrices, systems of lin-ear equations, linear transformations, eigenvalues and eigenvectors, systems ofordinary differential equations, decomposition of matrices, and functions of ma-trices. Eigenfunction expansions of differential equations, self-adjoint differen-tial operators, Sturm-Liouville equations. Complex variables, analytic functionsand Cauchy-Riemann equations, harmonic functions, conformal mapping, andboundary-value problems. Calculus of variations, Euler’s equation, constrainedfunctionals, Rayleigh-Ritz method, Hamilton’s principle, optimization and con-trol. Prerequisite: undergraduate course in differential equations. (3-0-3)

MMAE 502 Engineering Analysis II Generalized functions and Green’sfunctions. Complex integration: series expansions of complex functions, sin-gularities, Cauchy’s residue theorem, and evaluation of real definite integrals.Integral transforms: Fourier and Laplace transforms, applications to partial dif-ferential equations and integral equations. Prerequisite: MMAE 501. (3-0-3)

MMAE 503 Advanced Engineering Analysis Selected topics in advancedengineering analysis, such as ordinary differential equations in the complex do-main, partial differential equations, integral equations, and/or nonlinear dynam-ics and bifurcation theory, chosen according to student and instructor interest.Prerequisite: MMAE 502. (3-0-3)

MMAE 508 Perturbation Methods Asymptotic series, regular and singularperturbations, matched asymptotic expansions, and WKB theory. Methods ofstrained coordinates and multiple scales. Application of asymptotic methods inscience and engineering. Prerequisite: MMAE 501. (3-0-3)

MMAE 509 Introduction to Continuum Mechanics A unified treatmentof topics common to solid and fluid mechanics. Cartesian tensors. Deformation,strain, rotation, compatibility equations. Motion, velocity, gradient. Momen-tum, moment of momentum, energy, stress tensors. Equations of motion. Frameindifference. Constitutive relations for elastic, viscoelastic and fluids and plasticsolids. Concurrent Prerequisite: MMAE 501. (3-0-3)

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4.4.2 Fluid Dynamics

MMAE 510 Fundamentals of Fluid Mechanics Kinematics of fluid mo-tion. Constitutive equations of isotropic viscous compressible fluids. Derivationof Navier-Stokes equations. Lessons from special exact solutions, self-similarity.Admissibility of idealizations and their applications; inviscid, adiabatic, irro-tational, incompressible, boundary-layer, quasi one-dimensional, linearized andcreeping flows. Vorticity theorems. Unsteady Bernoulli equation. Basic flowsolutions. Basic features of turbulent flows. Concurrent Prerequisite: MMAE501. (4-0-4)

MMAE 511 Dynamics of Compressible Fluids Low-speed compressibleflow past bodies. Linearized, subsonic, and supersonic flow past slender bod-ies. Similarity laws. Transonic flow. Hypersonic flow, mathematical theory ofcharacteristics. Applications including shock and nonlinear wave interaction inunsteady one-dimensional flow and two-dimensional, planar and axisymmetricsupersonic flow. Prerequisite: MMAE 510. (3-0-3)

MMAE 512 Dynamics of Viscous Fluids Navier-Stokes equations and somesimple exact solutions. Oseen-Stokes flows. Boundary-layer equations and theirphysical interpretations. Flows along walls and in channels. Jets and wakes.Separation and transition to turbulence. Boundary layers in unsteady flows.Thermal and compressible boundary layers. Mathematical techniques of simi-larity transformation, regular and singular perturbation, and finite differences.Prerequisite: MMAE 510. (4-0-4)

MMAE 513 Turbulent Flows Stationary random functions. Correlationtensors. Wave number space. Mechanics of turbulence. Energy spectrum. Dis-sipation and energy cascade. Turbulence measurements. Isotropic turbulence.Turbulent transport processes. Mixing and free turbulence. Wall-constrainedturbulence. Compressibility effects. Sound and pseudo-sound generated by tur-bulence. Familiarity with basic concepts of probability and statistics and withCartesian tensors is assumed. Prerequisite: MMAE 510. (4-0-4)

MMAE 514 Stability of Viscous Flows Concept of hydrodynamic sta-bility. Governing equations. Analytical and numerical treatment of eigenvalueproblems and variational methods. Inviscid stability of parallel flows and spi-ral flows. Thermal instability and its consequences. Stability of channel flows,layered fluid flows, jets and flows around cylinders. Other effects and theirconsequences; moving frames, compressibility, stratification, hydromagnetics.Nonlinear theory and energy methods. Transition to turbulence. Prerequisites:MMAE 502, MMAE 510. (4-0-4)

MMAE 515 Engineering Acoustics Characteristics of sound waves in twoand three dimensions. External and internal sound wave propagation. Trans-mission and reflection of sound waves through media. Sources of sound from

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fixed and moving bodies. Flow-induced vibrations. Sound-level measurementtechniques. (3-0-3)

MMAE 516 Advanced Experimental Methods in Fluid Mechanics De-sign and use of multiple sensor probes to measure multiple velocity components,reverse-flow velocities, Reynolds stress, vorticity components and intermittency.Simultaneous measurement of velocity and temperature. Theory and use of op-tical transducers, including laser velocimetry and particle tracking. Specialmeasurement techniques applied to multiphase and reacting flows. Laboratorymeasurements in transitional and turbulent wakes, free-shear flows, jets, gridturbulence and boundary layers. Digital signal acquisition and processing. Pre-requisite: Instructor’s consent. (2-3-3)

MMAE 517 Computational Fluid Dynamics Classification of partial dif-ferential equations. Finite-difference methods. Numerical solution techniques,including direct, iterative and multigrid methods, for general elliptic and parabolicdifferential equations. Numerical algorithms for solution of the Navier-Stokesequations in the primitive-variables and vorticity-streamfunction formulations.Grids and grid generation. Numerical modeling of turbulent flows. Prerequi-sites: MMAE 510 and undergraduate course in numerical methods. (3-0-3)

MMAE 518 Spectral Methods in Computational Fluid Dynamics Ap-plication of advanced numerical methods and techniques to the solution of im-portant classes of problems in fluid mechanics. Emphasis is in methods derivedfrom weighted-residuals approaches, like Galerkin and Galerkin-Tau methods,spectral and pseudo-spectral methods, and dynamical systems modeling viaprojections on arbitrary orthogonal function bases. Finite element and spectralelement methods will be introduced briefly in the context of Galerkin methods.A subsection of the course will be devoted to numerical turbulence modeling,and to the problem of grid generation for complex geometries. Prerequisites:MMAE 501 and MMAE 510. (3-0-3)

4.4.3 Thermal Sciences

MMAE 433 Design of Thermal Systems Application of principles of fluidmechanics, heat transfer, and thermodynamics to design of components of en-gineering systems. Examples are drawn from power generation, environmentalcontrol, air and ground transportation, and industrial processes, as well as otherindustries. Groups of students work on projects for integration of these compo-nents and design of thermal systems. Prerequisites: MMAE 321, MMAE 322.(2-3-3) (C)

MMAE 520 Advanced Thermodynamics Macroscopic thermodynamics:first and second laws applied to equilibrium in multicomponent systems withchemical reaction and phase change; availability analysis; evaluations of thermo-dynamic properties of solids, liquids, and gases for single and multicomponent

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systems. Applications to contemporary engineering systems. Prerequisite: Un-dergraduate course in applied thermodynamics. (3-0-3)

MMAE 522 Nuclear, Fossil-Fuel, and Sustainable Energy SystemsPrinciples, technology and hardware used for conversion of nuclear, fossil-fueland sustainable energy into electric power will be discussed. Thermodynamicanalysis -Rankine cycle. Design and key components of fossil-fuel power plants.Nuclear fuel, reactions, materials. Pressurized water reactors (PWR). Boilingwater reactors (BWR). Canadian heavy water (CANDU) power plants. Heattransfer from the nuclear fuel elements. Introduction to two phase flow: flowregimes; models. Critical heat flux. Environmental effects of coal and nuclearpower. Design of solar collectors. Direct conversion of solar energy into elec-tricity. Wind power. Geothermal energy. Energy conservation and sustainablebuildings. Enrichment of nuclear fuel. Nuclear weapons and effects of the ex-plosions. (3-0-3)

MMAE 523 Fundamentals of Power Generation Thermodynamic, com-bustion, and heat transfer analyses relating to steam-turbine and gas-turbinepower generation. Environmental impacts of combustion power cycles. Consid-eration of alternative and sustainable power generation processes such as windand tidal, geothermal, hydroelectric, solar, fuel cells, nuclear power, and micro-bial. Prerequisite: Undergraduate course in applied thermodynamics. (3-0-3)

MMAE 524 Fundamentals of Combustion Combustion stoichiometry. Chem-ical equilibrium. Adiabatic flame temperature. Reaction kinetics. Transportprocesses. Gas flames classification. Premixed flames. Laminar and turbulentregimes. Flame propagation. Deflagrations and detonations. Diffusion flames.Spray combustion. The fractal geometry of flames. Ignition theory. Pollutantformation. Engine combustion. Solid phase combustion. Combustion diagnos-tics. Prerequisite: Undergraduate courses in applied thermodynamics and heattransfer or instructor’s consent. (3-0-3)

MMAE 525 Fundamentals of Heat Transfer Modes and fundamental lawsof heat transfer. The heat equations and their initial and boundary conditions.Conduction problems solved by separation of variables. Numerical methods inconduction. Forced and natural convection in channels and over exterior sur-faces. Similarity and dimensionless parameters. Heat and mass analogy. Effectsof turbulence. Boiling and condensation. Radiation processes and properties.Blackbody and gray surfaces radiation. Shape factors. Radiation shields. Pre-requisite: Undergraduate course in heat transfer. (3-0-3)

MMAE 526 Heat Transfer: Conduction Fundamental laws of heat con-duction. Heat equations and their initial and boundary conditions. Steady,unsteady and periodic states in one or multidimensional problems. Compositematerials. Methods of Green’s functions, eigenfunction expansions, finite differ-ences, finite element methods. Prerequisites: MMAE 502, MMAE 525. (3-0-3)

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MMAE 527 Heat Transfer: Convection and Radiation Convective heattransfer analyses of external and internal flows. Forced and free convection.Dimensional analysis. Phase change. Heat and mass analogy. Reynolds anal-ogy. Turbulence effects. Heat exchangers, regenerators. Basic laws of radiationheat transfer. Thermal radiation and quantum mechanics pyrometry. Infraredmeasuring techniques. Prerequisite: MMAE 525. (3-0-3)

4.4.4 Solids and Structures

MMAE 451 Finite Element Methods in Engineering This course pro-vides a comprehensive overview of the theory and practice of the finite elementmethod by combining lectures with selected laboratory experiences. Lecturescover the fundamentals of linear finite element analysis with special emphasis onproblems in solid mechanics and heat transfer. Topics include the direct stiffnessmethod, the Galerkin method, isoparametric finite elements, numerical integra-tion, development of finite element equations, equation solvers, bandwidth oflinear algebraic equations, and other computational issues. Lab sessions pro-vide experience solving practical engineering problems using commercial finiteelement software. Special emphasis is given to mesh design and results inter-pretation using commercially available pre and post-processing software. Pre-requisite: MMAE 304 or MMAE 306. (3-0-3)

MMAE 529 Theory of Plasticity Phenomenological nature of metals, yieldcriteria for 3-D states of stress, geometric representation of the yield surface.Levy-Mises and Prandtl-Reuss equations, associated and nonassociated flowrules, Drucker’s stability postulate and its consequences, consistency conditionfor nonhardening materials, strain hardening postulates. Elastic-plastic bound-ary value problems. Computational techniques for treatment of small and finiteplastic deformations. Prerequisite: MMAE 530. (3-0-3).

MMAE 530 Advanced Mechanics of Solids Mathematical foundations:tensor algebra, notation and properties, eigenvalues and eigenvectors. Kinemat-ics: deformation gradient, finite and small strain tensors. Force and equilibrium:concepts of traction/stress, Cauchy relation, equilibrium equations, propertiesof stress tensor, principal stresses. Constitutive laws: generalized Hookes law,anisotropy and thermoelasticity. Boundary value problems in linear elasticity:plane stress, plane strain, axisymmetric problems, Airy stress function. Energymethods for elastic solids. Torsion. Elastic and inelastic stability of columns.Concurrent Prerequisite: MMAE 501. (3-0-3)

MMAE 531 Theory of Elasticity Notions of stress and strain, field equationsof linearized elasticity. Plane problems in rectangular and polar coordinates.Problems without a characteristic length. Plane problems in linear elastic frac-ture mechanics. Complex variable techniques, energy theorems, approximatenumerical techniques. Prerequisite: MMAE 530. (3-0-3)

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MMAE 532 Advanced Finite Element Methods Continuation of MMAE451/CAE 442. Covers the theory and practice of advanced finite element pro-cedures. Topics include implicit and explicit time integration, stability of inte-gration algorithms, unsteady heat conduction, treatment of plates and shells,small-strain plasticity, and treatment of geometric nonlinearity. Practical engi-neering problems in solid mechanics and heat transfer are solved using MATLABand commercial finite element software. Special emphasis is placed on propertime step and convergence tolerance selection, mesh design, and results inter-pretation. Prerequisite: MMAE 451/CAE 442. (3-0-3)

MMAE 533 Fatigue and Fracture Mechanics Analysis of the general stateof stress and strain in solids; dynamic fracture tests (FAD, CAT). Linear elasticfracture mechanics (LEFM), Griffith-Irwin analysis, ASTM, KIC, KIPCI, KIA,KID. Plane stress, plane strain; yielding fracture mechanics (COD, JIC). Fa-tigue crack initiation. Goodman diagrams and fatigue crack propagation. Notchsensitivity and stress concentrations. Low-cycle fatigue, corrosion and thermalfatigue. Prerequisite: Undergraduate course in mechanics of solids. (3-0-3)

MMAE 535 Wave Propagation This is an introductory course on wavepropagation. Although the ideas are presented in the context of elastic wavesin solids, they easily carry over to sound waves in water and electromagneticwaves. The topics include one dimensional motion of elastic continuum, travel-ing waves, standing waves, energy flux, and the use of Fourier integrals. Problemstatements in dynamic elasticity, uniqueness of solution, basic solution of elasto-dynamics, integral representations, steady state time harmonic response. Elasticwaves in unbounded medium, plane harmonic waves in elastic half-spaces, reflec-tion and transmission at interfaces, Rayleigh waves. Stoneley waves, slownessdiagrams, dispersive waves in waveguides and phononic composites, thermaleffects and effects of viscoelasticity, anisotropy, and nonlinearity on wave prop-agation. (3-0-3)

MMAE 536 Experimental Solid Mechanics Review of applied elastic-ity. Stress, strain and stress-strain relations. Basic equations and boundaryvalue problems in plane elasticity. Methods of strain measurement and relatedinstrumentation. Electrical resistance strain gauges, strain gauge circuits andrecording instruments. Analysis of strain gauge data. Brittle coatings. Photoe-lasticity; photoelastic coatings; moire methods; interferometric methods. Appli-cations of these methods in the laboratory. Prerequisite: Undergraduate coursein mechanics of solids. (3-2-4)

4.4.5 Dynamics and Controls

MMAE 540 Robotics Kinematics and inverse kinematics of manipulators.Newton-Euler dynamic formulation. Independent joint control. Trajectory andpath planning using potential fields and probabilistic roadmaps. Adaptive con-

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trol. Force control. Prerequisite: MMAE 443 or equivalent. Concurrent Pre-requisite: MMAE 501. (3-0-3)

MMAE 541 Advanced Dynamics Kinematics of rigid bodies. Rotatingreference frames and coordinate transformations; Inertia dyadic. Newton-Eulerequations of motion. Gyroscopic motion. Conservative forces and potentialfunctions. Generalized coordinates and generalized forces. Lagrange’s equa-tions. Holonomic and nonholonomic constraints. Lagrange multipliers. Kane’sequations. Elements of orbital and spacecraft dynamics. Prerequisite: Under-graduate course in dynamics. Concurrent Prerequisite: MMAE 501. (3-0-3)

MMAE 542 Applied Dynamical Systems This course will cover analyticaland computational methods for studying nonlinear ordinary differential equa-tions especially from a geometric perspective. Topics include stability analysis,perturbation theory, averaging methods, bifurcation theory, chaos, and Hamil-tonian systems Prerequisite: MMAE 501 (3-0-3)

MMAE 543 Modern Control Systems Review of classical control. Discrete-time systems. Linear difference equations. Z-transform. Design of digital con-trollers using transform methods. State-space representations of continuous anddiscrete-time systems. State-feedback. Controllability and observability. Poleplacement. Optimal control. Linear-Quadratic Regulator (LQR). Probabilityand stochastic processes. Optimal estimation. Kalman Filter. Prerequisite:Undergraduate course in classical control. Concurrent Prerequisite: MMAE501 (3-0-3)

MMAE 550 Optimal State Estimation Probability and random variables.Stochastic dynamic systems. Kalman filters, information forms, and smoothers.Covariance analysis. Bayesian, adaptive, and nonlinear estimation. Detectiontheory. Applications to guidance, navigation, and control systems. ConcurrentPrerequisite: MMAE 501. (2-3-3)

MMAE 551 Experimental Mechatronics Team-based project. Micropro-cessor controlled electromechanical systems. Sensor and actuator integration.Basic analog and digital circuit design. Limited enrollment. Prerequisite:MMAE 443 or instructor consent. (2-3-3)

MMAE 552 Introduction to the Space Environment Overview of thespace environment, particularly Earth’s ionosphere, magnetosphere, and inter-planetary space. Effects of solar activity on geospace variability. Basic plasmacharacteristics. Single particle motions. Waves in magnetized plasmas. Chargedparticle trapping in planetary magnetic fields, and its importance in near-earth-space phenomena. Macroscopic equations for a conducting fluid. Ground andspace-based remote sensing, and in situ measurement techniques. Space weathereffects on human-made systems. Prerequisites: Undergraduate courses in elec-tromagnetics and fluid mechanics. (3-0-3)

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MMAE 555 Introduction to Navigation Systems Fundamental conceptsof positioning and dead reckoning. Principles of modern satellite-based naviga-tion systems, including GPS, GLONASS, and Galileo. Differential GPS (DGPS)and augmentation systems. Carrier phase positioning and cycle ambiguity res-olution algorithms. Autonomous integrity monitoring. Introduction to optimalestimation, Kalman filters, and covariance analysis. Inertial sensors and inte-grated navigation systems. Prerequisite: MMAE 443 or equivalent. ConcurrentPrerequisite: MMAE 501. (3-0-3)

4.4.6 Design and Manufacturing

MMAE 445 CAD/CAM with Numerical Control Computer graphics inengineering design, computational geometry, and CAD software and hardware.Numerical control of machine tools by various methods. Prerequisite: CS 105,MATH 252. (3-0-3)

MMAE 544 Design Optimization Optimization theory and practice withexamples. Finite-dimensional unconstrained and constrained optimization, Kuhn-Tucker theory, linear and quadratic programming, penalty methods, directmethods, approximation techniques, duality. Formulation and computer so-lution of design optimization problems in structures, manufacturing and ther-mofluid systems. Prerequisite: Undergraduate course in numerical methods.(3-0-3)

MMAE 545 Advanced CAD/CAM Interactive computer graphics in me-chanical engineering design and manufacturing. Mathematics of three-dimensionalobject and curved surface representations. Surface versus solid modeling meth-ods. Numerical control of machine tools and factory automation. Applicationsusing commercial CAD/CAM in design projects. Prerequisite: MMAE 445 orinstructor’s consent. (3-0-3)

MMAE 546 Advanced Manufacturing Engineering Introduction to ad-vanced manufacturing processes, such as powder metallurgy, joining and as-sembly, grinding, water jet cutting, laser-based manufacturing, etc. Effects ofvariables on the quality of manufactured products. Process and parameter selec-tion. Important physical mechanisms in manufacturing process. Prerequisite:Undergraduate course in manufacturing processes or instructor’s consent. (3-0-3)

MMAE 547 Computer-Integrated Manufacturing – Technologies Theuse of computer systems in planning and controlling the manufacturing processincluding product design, production planning, production control, productionprocesses, quality control, production equipment and plant facilities. (3-0-3)

MMAE 557 Computer Integrated Manufacturing – Systems Advanced

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topics in computer-integrated manufacturing, including control systems, grouptechnology, cellular manufacturing, flexible manufacturing systems, automatedinspection, lean production, just-in-time production, and agile manufacturingsystems. (3-0-3)

MMAE 560 Statistical Process and Quality Control Basic theory, meth-ods and techniques of on-line, feedback quality control systems for variable andattribute characteristics. Methods for improving the parameters of the pro-duction, diagnosis, and adjustment processes so that quality loss is minimized.Same as CHE 560. (3-0-3)

MMAE 589 Applications in Reliability Engineering I This first partof a two-course sequence focuses on the primary building blocks that enablean engineer to effectively communicate and contribute as a part of a reliabilityengineering effort. Students develop an understanding of the long term andintermediate goals of a reliability program and acquire the necessary knowledgeand tools to meet these goals. The concepts of both probabilistic and determin-istic design are presented, along with the necessary supporting understandingthat enables engineers to make design trade-offs that achieve a positive im-pact on the design process. Strengthening their ability to contribute in a crossfunctional environment, students gain insight that helps them understand thereliability engineering implications associated with a given design objective, andthe customers expectations associated with the individual product or productplatforms that integrate the design. These expectations are transformed intometrics against which the design can be measured. A group project focuses onselecting a system, developing a flexible reliability model, and applying assess-ment techniques that suggest options for improving the design of the system.(3-0-3)

MMAE 590 Applications in Reliability Engineering II This is the sec-ond part of a two-course sequence emphasizing the importance of positivelyimpacting reliability during the design phase and the implications of not mak-ing reliability an integrated engineering function. Much of the subject matter isdesigned to allow the students to understand the risks associated with a designand provide the insight to reduce these risks to an acceptable level. The studentgains an understanding of the methods available to measure reliability metricsand develops an appreciation for the impact manufacturing can have on productperformance if careful attention is not paid to the influencing factors early inthe development process. The discipline of software reliability is introduced, aswell as the influence that maintainability has on performance reliability. Thesequence culminates in an exhaustive review of the lesson plans in a way thatempowers practicing or future engineers to implement their acquired knowledgein a variety of functional environments, organizations and industries. The groupproject for this class is a continuation of the previous course, with an empha-sis on applying the tools and techniques introduced during this second of twocourses. (3-0-3)

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4.4.7 Materials Science and Engineering

MMAE 468 Introduction to Ceramic Materials The structure and struc-ture/properties relationships of ceramic materials. Topics include: crystal struc-ture types; crystal defects; structure of glass; phase equilibria and how these af-fect applications for mechanical properties; electrical properties; and magneticproperties. Sintering and ceramic reactions are related to microstructure resul-tant properties. Prerequisite: MS 201. (3-0-3)

MMAE 470 Introduction to Polymer Science An introduction to thebasic principles that govern the synthesis, processing and properties of poly-meric materials. Topics include classifications, synthesis methods, physical andchemical behavior, characterization methods, processing technologies and appli-cations. Prerequisite: CHEM 124, MATH 251, PHYS 221. Same as CHE 470and CHEM 470. (3-0-3) (C)

MMAE 554 Electrical, Magnetic and Optical Properties of Mate-rials Electronic structure of solids. Conductors, semiconductors, dielectrics,superconductors. Ferroelectric and piezoelectric materials. Magnetic proper-ties, magnetocrystalline, anisotropy, magnetic materials and devices. Opticalproperties and their applications. (3-0-3)

MMAE 561 Solidification and Crystal Growth Properties of melts andsolids. Thermodynamic and heat transfer concepts. Single and poly-phase al-loys. Macro and micro segregation. Plane-front solidification. Solute boundarylayers. Constitutional supercooling. Convection in freezing melts. Effectivesegregation coefficients. Zone freezing and purification. Single crystal growthtechnology. Czochralski, Kyropulous, Bridgman and Floating Zone methods.Control of melt convection and crystal composition. Equipment. Process con-trol and modeling. Laboratory demonstration. Prerequisite: Background incrystal structure and thermodynamics. (3-0-3)

MMAE 562 Design of Modern Alloys Phase rule, multicomponent equi-librium diagrams, determination of phase equilibria, parameters of alloy devel-opment, prediction of structure and properties. Prerequisite: Background inphase diagrams and thermodynamics. (2-0-2)

MMAE 563 Advanced Mechanical Metallurgy Analysis of the generalstate of stress and strain in solids. Analysis of elasticity, plasticity and fracture,with a major emphasis on the relationship between properties and structure.Isotropic and anisotropic yield criteria. Testing and forming techniques relatedto creep and superplasticity. Deformation mechanism maps. Fracture mechanicstopics related to testing and prediction of service performance. Static loading toonset of rapid fracture, environmentally assisted cracking fatigue, and corrosionfatigue. Prerequisite: Background in mechanical properties. (3-0-3)

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MMAE 564 Dislocations and Strengthening Mechanisms Basic charac-teristics of dislocations in crystalline materials. Dislocations and slip phenom-ena. Application of dislocation theory to strengthening mechanisms. Strainhardening. Solid solution and particle strengthening. Dislocations and grainboundaries. Grain size strengthening. Creep. Fatigue. Prerequisite: Back-ground in materials analysis. (3-0-3)

MMAE 565 Materials Laboratory Advanced synthesis projects studyingmicrostructure and properties of a series of binary and ternary alloys. Gainhands-on knowledge of materials processing and advanced materials character-ization through an integrated series of experiments to develop understandingof the processing–microstructure-properties relationship. Students arc melt aseries of alloys, examine the cast microstructures as a function of compositionusing optical and electron microscopy, DTA, EDS, and XRD. The alloys aretreated in different thermal and mechanical processes. The microstructural andmechanical properties modification and changes during these processes are char-acterized. Groups of students will be assigned different alloy systems, and eachgroup will present their results orally to the class and the final presentation tothe whole materials science and engineering group. (1-6-3)

MMAE 566 Problems in High-Temperature Materials Temperature-dependent mechanical properties. Creep mechanisms. Basic concepts in de-signing high-temperature materials. Metallurgy of basic alloy systems. Surfacestability. High-temperature oxidation. Hot corrosion. Coatings and protection.Elements of process metallurgy. Prerequisite: Background in mechanical prop-erties, crystal defects and thermodynamics. (3-0-3)

MMAE 567 Fracture Mechanisms Basic mechanisms of fracture and em-brittlement of metals. Crack initiation and propagation by cleavage, microvoidcoalescence, and fatigue mechanisms. Hydrogen embrittlement, stress corrosioncracking and liquid metal embrittlement. Temper brittleness and related topics.Prerequisite: Background in crystal structure, defects and mechanical proper-ties. (3-0-3)

MMAE 568 Diffusion Theory, techniques and interpretation of diffusionstudies in metals. Prerequisite: Background in crystal structure, defects andthermodynamics. Prerequisite: MMAE 361. (2-0-2)

MMAE 569 Advanced Physical Metallurgy Thermodynamics and kineticsof phase transformations, theory of nucleation and growth, metastability, phasediagrams. Prerequisite: Background in phase diagrams and thermodynamics.(3-0-3)

MMAE 570 Computational Methods in Materials Processing Advancedtheories and computational methods used to understand and predict mate-rial properties. This course will introduce energy models from classical and

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first-principles approaches, density functional theory, molecular dynamics, ther-modynamic modeling, Monte Carlo simulations, and data mining in materialsscience. The course will also include case studies of computational materialsresearch (e.g. alloy design, energy storage, nanoscale properties). The courseconsists of both lectures and computer labs. Prerequisite: Background in ther-modynamics is required. (3-0-3)

MMAE 576 Materials and Process Selection Context of selection; de-cision analysis; demand, materials and processing profiles; design criteria; selec-tion schemes; value and performance oriented selection; case studies. (3-0-3)

MMAE 578 Fiber Composites Basic concepts and definitions. Current andpotential applications of composite materials. Fibers, Matrices, and overviewof manufacturing processes for composites. Review of elasticity of anisotropicsolids and transformation of stiffness/compliance matrices. Micromechanics:methods for determining mechanical properties of heterogeneous materials. Macrome-chanics: ply analysis, off-axis stiffness, description of laminates, laminated platetheories, special types of laminates. Applications of concepts to the design ofsimple composite structural components. Failure theories, hydrothermal effects.Prerequisite: Background in polymer synthesis and properties. (3-0-3)

MMAE 579 Advanced Materials Processing Processing science and fun-damentals in making advanced materials, particularly nanomaterials and com-posites. Applications of the processing science to various processing technologiesincluding severe plastic deformation, melt infiltration, sintering, co-precipitation,sol-gel process, aerosol synthesis, plasma spraying, vapor-liquid-solid growth,chemical vapor deposition, physical vapor deposition, atomic layer deposition,and lithography. Prerequisite: MMAE 467. (3-0-3)

4.4.8 Research, Seminar, Special Topics and Project Courses

MMAE 591 Research and Thesis for MS Degree

MMAE 593 Seminar Reports on current research. Fulltime graduate stu-dents in the department are required to register and attend.(1-0-0) (Grade: S,U)

MMAE 594 Project for Master of Engineering Students Design projectsfor the Master of Mechanical and Aerospace Engineering, Master of MaterialsScience and Engineering, and Master of Manufacturing Engineering degrees.(Variable credit) (Grade: S, U, R)

MMAE 597 Special Topics Advanced topics in the fields of mechanics, me-chanical and aerospace, materials science and engineering, and manufacturingengineering in which there is special student and staff interest. (Variable credit)(Grade: A, B, C, E)

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MMAE 691 Research and Thesis for PhD Degree

4.4.9 Accelerated Courses

MMAE 704 Introduction to Finite-Element Analysis This course pro-vides a comprehensive overview of the theory and practice of the finite elementmethod by combining lectures with selected laboratory experiences. Lecturescover the fundamentals of linear finite element analysis, with special emphasis onproblems in solid mechanics and heat transfer. Topics include the direct stiffnessmethod, the Galerkin method, isoparametric finite elements, numerical integra-tion, development of finite element equations, equation solvers, bandwidth oflinear algebraic equations and other computational issues. Lab sessions provideexperience in solving practical engineering problems using commercial finiteelement software. Special emphasis is given to mesh design and results inter-pretation using commercially available pre-and post-processing software. (2-0-2)

MMAE 705 Computer-Aided Design with Pro/ENGINEER This courseprovides an introduction to computer-aided design and an associated finite ele-ment analysis technique. A series of exercises and instruction in Pro/ENGINEERwill be completed. The operation of Mecanica (the associated FEM package)will also be introduced. Previous experience with CAD and FEA will definitelyspeed learning, but is not essential. (2-0-2)

MMAE 707 High-Temperature Structural Materials Creep mechanismsand resistance. The use of deformation mechanisms maps in alloy design. Phys-ical and mechanical metallurgy of high-temperature, structural materials cur-rently in use. Surface stability: High-temperature oxidation, hot corrosion,protective coatings. Alternative materials of the 21st century. Elements of pro-cess metallurgy. (2-0-2)

MMAE 709 Overview of Reliability Engineering This course covers therole of reliability in robust product design. It dwells upon typical failure modeinvestigation and develops strategies to design them out of the product. Topicsaddressed include reliability concepts, systems reliability, modeling techniques,and system availability predications. Case studies are presented to illustrate thecost-benifits due to pro-active reliability input to systems design, manufactur-ing, and testing. (2-0-2)

MMAE 710 Dynamic and Nonlinear Finite Element Analysis Providesa comprehensive understanding of the theory and practice of advanced finite ele-ment procedures. The course combines lectures on dynamic and nonlinear finiteelement analysis with selected computer labs. The lectures cover implicit and ex-plicit time integration techniques, stability of integration algorithms, treatmentof material and geometric nonlinearity, and solution techniques for nonlinearfinite element equations. The computer labs train students to solve practical

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engineering problems in solid mechanics and heat transfer using ABAQUS andHypermesh. Special emphasis is placed on proper time step and convergencetolerance selection, mesh design, and results interpretation. A full set of coursenotes will be provided to class participants as well as a CD-ROM containingcourse notes, written exercies, computer labs, and all worked out examples.Prerequisite: MMAE 704 or equivalent or consent of instructor. (2-0-2)

MMAE 713 Engineering Economic Analysis Introduction to the conceptsof Engineering Economic Analysis, also known as micro-economics. Topics in-clude equivalence, the time value of money, selecting between alternatives, rateof return analysis, compound interest, inflation, depreciation, and estimatingeconomic life of an asset. (2-0-2)

MMAE 715 Project Management This course covers the basic theory andpractice of project management from a practical viewpoint. Topics will includeproject management concepts, resources, duration vs. effort, project planningand initiation, progress tracking methods, CPM and PERT, reporting methods,replanning, team project concepts, and managing multiple projects. MicrosoftProject software will be used extensively. (2-0-2)

MMAE 724 Introduction to Acoustics This short course provides a briefintroduction to the fundamentals of acoustics and the application to productnoise prediction and reduction. The first part focuses on fundamentals of acous-tics and noise generation. The second part of the course focuses on applied noisecontrol. (2-0-2)

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