1English Reg Final Nov 2010

Graduate Studies Regulation (Credit Hour System)

2010-2011

Cairo University Faculty of Engineering

Graduate Studies

Cairo University Faculty of Engineering

Graduate Studies

Graduate Studies Regulation (Credit Hour System)

2010-2011

Contents Page

Deans word 1 Word of the Vice Dean for Graduate Studies and Research 2 Introduction 4 General Rules 5 Postgraduate Diploma 13 Master of Science in Engineering 16 Doctor of Philosophy in Engineering 20 Continuing Education 24 Transitional Rules 26 Engineering Mathematics and Physics Department 27 Architectural Engineering Department 49 Structural Engineering Department 90 Public Works Department 119 Irrigation and Hydraulics Department 166 Mechanical Power Engineering Department 179 Mechanical Design and Production Department 196 Aeronautics and Space Engineering Department 211 Electronics and Communication Department 235 Electrical Power and Machines Department 259 Chemical Engineering Department 278 Mining, Petroleum, and Metallurgy Department 286 Biomedical Engineering and Systems Department 318 Computer Engineering Department 335 Interdisciplinary Diplomas 347 M.Sc. in renewable energy & energy efficiency 354

Cairo University Graduate Studies Regulations

2011/2010/ Faculty of Engineering

DEAN'S WORD

The Faculty of Engineering mission is to make use of its available potentialities in assisting societal institutions to confront and overcome the challenges they are met with, and to provide curricula with sufficient academic depth and scientific background needed to link academic studies with the problems facing society.

The Faculty of Engineering has always endeavored to upgrade the scientific level of postgraduate studies, this includes offering updated references through the Faculty Library, providing access to international journal articles via subscription to major scientific research databases, supplying research labs in the different Departments and research centers with state-of-the-art equipment, and preparing lecture halls to accommodate the number of graduate students.

The present postgraduate regulation adopts, for the first time, the credit-hour system, in order to be in line with advanced scientific institutions, thus facilitating credit transfer between different universities. In this regulation, several curricula were updated by adding new courses and/or revising existing ones. Also, the rules for the Ph.D. Qualifying exam have been revised to conform to the scientific level called for by this degree. Some new interdisciplinary diplomas have been introduced to cover the needs of professional practice in new fields of application.

Finally, I wish the students enrolled in our Graduate Program success and hope their contributions to science and scientific research would benefit our Faculty, Country, and Mankind. I also wish our Faculty Members success in their mission to lead their graduate students along the proper path throughout the implementation of the research work, which I hope would always constitute a valuable contribution to knowledge and prosperity.

Dean

Prof. Wael Mohamed El-Degwy

1



2

WORD OF THE VICE DEAN FOR GRADUATE STUDIES AND RESEARCH

The new regulation for graduate studies is a development of the year 2000 regulation by introducing a credit hour system in accordance with the reference framework for graduate studies set by the Engineering Sector Committee. The development aims at matching the credit hour concept followed in most countries all over the world, to allow for development of the three axes of graduate studies at the Faculty; Postgraduate Diploma, Master of Science, and Doctor of Philosophy. The regulation targets raising the scientific efficiency for Postgraduate Diploma in the areas of specialization in various engineering disciplines by studying advanced applied and practical courses and participating in a team to prepare an applied project. The regulation aims at developing research capabilities and scientific thinking for the M.Sc. student in the branch, specialization, and topic chosen by the student within the research plan of the Faculty, using techniques and scientific approaches through the study of several advanced academic courses and performing an academic and applied research presented in the form of a thesis. Ph.D. study aims at developing independent thinking and the ability for innovation and improvement to be able to provide a contribution in science in the branch, specialization, and topic chosen by the student by following the technical and scientific research basis and building on the research capabilities that were developed during the M.Sc. stage by performing an applied/theoretical research. The regulation includes rules for admission, registration, study, examination and granting degrees. It also includes the listing of courses in the three levels; 500, 600 & 700, defining the compulsory and elective courses as well as prerequisite courses, if any. Courses are identified by the Responsible Department among the 14 Scientific Departments at the Faculty of Engineering, Cairo University. Interdisciplinary degrees are also listed. A Ministerial Decree was issued to approve the regulations in July 2009, following its approval by the Cairo University Council and the Engineering Sector Committee. Students registered prior to approval of the regulation shall continue their study based on the rules and regulations defined in the year 2000. The Graduate Studies Administration at the Faculty of Engineering announces every semester the deadlines for application for Postgraduate Diploma, M.Sc., and Ph.D., and issues the necessary forms and follow-up on the registration, examination, and keeping Graduate Students' electronic files. The Responsible Department sets the number of graduate students admitted and the courses as well as suggesting the supervising committee and evaluation committee for M.Sc. theses and Ph.D. dissertations. The decisions are approved by the Faculty Council after review by the Graduate Studies Committee. The Departments are also responsible for following up on the progress of the graduate students with the supervising committee and reporting it to the Graduate Studies Administration. The regulation caters for interdisciplinary Postgraduate Diplomas that involve different engineering disciplines, such as the Postgraduate Management Diploma, which includes electrical, mechanical, chemical, and civil engineering, and the Postgraduate Natural Gas Diploma, which involves mining, petroleum, metallurgy, chemical, mechanical, and electrical engineers. The regulation allows for introduction of new Postgraduate Diplomas to cater for the need to stay abreast with the developments in work and application in various engineering sectors. The number of admitted M.Sc. students has increased to 1380 students and the number is expected to augment due to the increase in number of engineers and the needs of the society. M.Sc. students are required to take a number of courses (18 credit hours) with a minimum grade of B-, and then perform a



research and write a thesis (18 credit hours). The average period to obtain an M.Sc. is about four years, and the number of students currently registered is 3350. The number of students who were awarded the M.Sc. degree was 220 in 2008. The number of registered Ph.D. students increases by about 15% each year. However, the number of Ph.D. degrees granted every year is almost the same. This is attributed to the high technical and academic standards. The current number of registered Ph.D. students is 578. Achieving a Ph.D. requires passing a comprehensive exam and a number of specialized courses (18 credit hours) with a minimum of 2.7 points for each course, in addition to a dissertation that includes a scientific contribution (30 credit hours). The period of obtaining a Ph.D. is about four years on average. The number of Ph.D. awarded in 2009 was 69. The number of Ph.D. students increases every year, which is a testimony of trust in the Faculty of Engineering, Cairo University as a prestigious institution, in addition to the prominent position of the holder of such certificate in the society. A number of M.Sc. and Ph.D. are linked to topics related to problems in the society and others related to current technological problems or research topics that make use of the research and laboratory facilities to perform the research. The development of the new regulation took place throughout the period 2004 to 2009, under the guidance of Prof. Adel Khalil, the former Vice Dean for Graduate Studies and Research. His efforts were instrumental in achieving the development and reaching this final form. I would also like to thank Prof. Salwa Abd-El-Hafiz, Dr. Sherine Wahba, and Dr. Reem Ettouney for their conscientious review and valuable comments on the English version draft. In conclusion, the efforts of Faculty Members in the advancement of teaching, research and application is achieved by developing the performance and increasing research, laboratory and library facilities to achieve the targets of graduate studies and ensure linking them with the needs of the society. The Graduate Studies Administration also aspires to serve the students and follow up on the graduate studies requirements.

Vice Dean for Graduate Studies and Research

Prof. Sherif Ahmed Mourad

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4 INTRODUCTION

INTRODUCTION

Graduate studies started at the Faculty of Engineering, Cairo University in the early 1940s. Since then, many prominent figures in the society have been granted M.Sc. and Ph.D. degrees, and the scientific community has gained faculty members in various engineering institutions in Egypt, Arab Countries, and some foreign universities. Graduate studies regulations have continuously developed since their inception. The rules were first issued as internal regulations that were amended in 1956, 1967, and 1972. During these phases, new specialized Postgraduate Diplomas were introduced. The year 1972 witnessed the appointment of the first Vice Dean for Graduate Studies and Research. In that year, the requirements for the M.Sc. degree were amended to include both courses and thesis instead of thesis only. In August 1984, the first postgraduate regulation was issued, introducing new concepts such as:

1. Allowing engineers to register for graduate studies in a department other than the one he/she has obtained his/her B.Sc.

2. Introducing M.Sc. and Ph.D. degrees in Engineering Mathematics and Engineering Physics.

3. Introducing interdisciplinary Postgraduate Diplomas in nuclear engineering, environmental engineering, control engineering, new and renewable energy, corrosion of metals, and engineering management. These diplomas are not the responsibility of a specific department, but are managed by a Steering Committee from the departments involved in the teaching process.

4. Introducing the qualifying exam for Ph.D. students where a committee of five faculty members examines the student in his general area of study and his research work in order to endorse his registration for the Ph.D.

The year 2000 regulation introduced several new modifications:

1. Defining 51 clauses in six divisions. 2. Introducing several new Postgraduate Diplomas in several applied areas. 3. Updating the graduate courses and introducing new courses. 4. Improving the registration, examination, and granting procedures. 5. Improving the qualifying exam procedures. 6. Using credit hours for full-year courses.

The current regulation includes further improvements whereas:

1. Adopting semester system instead of full-year system. 2. Introducing prerequisite course requirements. 3. Introduction of new Postgraduate Diplomas and interdisciplinary Diplomas. 4. Continuous development of existing courses and introduction of new courses. 5. Requiring Ph.D. students to publish at least one research paper in a specialized

scientific refereed publication that is included in international indexes.

Cairo University Graduate Studies Regulations 2011/2010/

Faculty of Engineering

5 GENERAL RULES

GENERAL RULES Clause (1): Scientific Degrees

Cairo University Council grants, based on the recommendation of the Faculty of Engineering Council the following: Postgraduate Diploma. Master of Science (M. Sc.) in Engineering. Doctor of Philosophy (Ph. D.) in Engineering. Master of Science in Renewable Energy and Energy Efficiency joint degree

between Faculty of Engineering, Cairo University and Kassel University in Germany using the European Credit hours system ECTS.

Clause (2): Designation of the Scientific Degrees

1. Postgraduate diploma aims at enhancing the scientific capabilities in specialized applied areas of engineering through studying advanced applied and practical courses and participating in work teams to prepare applied projects.

2. Master of Science in Engineering aims at developing research capabilities and scientific thinking in a specific branch/scope/topic chosen by the student within the framework of the Faculty Research Plan. This is achieved by utilizing state-of-the-art technology and techniques in studying a number of advanced academic courses and carrying out an academic/applied research that is developed into a comprehensive scientific Thesis.

3. Doctor of Philosophy in Engineering aims at developing independent thinking and capabilities for innovation and development, thus reaching a new contribution to science in the branch/scope/topic chosen by the student, using specialized scientific approaches. This is achieved by sound scientific research skills developed during the M. Sc. Program and carrying out theoretical/applied scientific research presented in a comprehensive scientific Dissertation.

Clause (3): Study System

The study system follows the credit hour system. Students are admitted in accordance with the rules stipulated in Clause (5). The grades are computed as outlined in Clause (8).

Clause (4): Registration and Commencement of Semester Dates

a- The Academic Year is divided into two semesters as follows: First Main Semester: starts on the fourth week of September and lasts

for 15 weeks. Second Main Semester: starts on the third week of February and lasts for

15 weeks. b- Registration commences three weeks prior to the start of the semester, provided

that students fulfills all requirements and pays the registration fees.

Clause (5): Admission General Rules

a-The applicant must have a Bachelor of Science Degree in Engineering at a school of engineering in an Egyptian University or an equivalent institute approved by the Supreme Council of Universities in Egypt.



6 GENERAL RULES

b- The applicant shall complete all the documents required by the Graduate Studies Administration of the Faculty of Engineering.

c-The applicant shall fulfill any requirements of the Program to which he/she is applying.

d- Male applicants shall declare their military service status, whether they are discharged or postponed (for at least two years). Teaching assistants are exempted from this condition.

e- Acceptance of the applicant's Employer. f- Regular payment of fees each semester.

Clause (6): Admission and Registration Rules

a- Obtaining the acceptance of the Responsible Department and completing the forms prepared by the Graduate Studies Administration.

b- The Responsible Department may request additional conditions that are deemed necessary for admission, such as an oral or written admission exam, or limiting the number of admitted students based on the capacity of the Faculty or Department.

c- Students may register for up to 12 credit hours for the first or second semester provided that he/she is a part-time student.

d- Students may register for more than 12 credit hours for the first or second semester provided that he/she is a full-time student.

e-The maximum number of credit hours for the first or second semester is 18 hours. f-The available courses in each semester depend on the number of registered students

and the specialized faculty members, and are also determined by the Responsible Department Council.

Clause (7): Terms of Changes and Termination

a- Student may add/drop courses during the first two weeks of the semester. b- Student may drop a course (without refund of fees) during the first eight weeks of

the semester, and the transcript shall show (w) for withdrawal. c- Student who didn't attain the minimum grade required in any course may repeat it.

The course shall be repeated only once both in attendance and examination after paying the necessary fees.

d- If the student withdraws from any courses after two weeks of study, the transcript shall show (w). He/she has to repeat compulsory courses only.

Clause (8): Grading System

a-The grade point for each credit hour and their correspondence are based on letter grades as follows:



7 GENERAL RULES

Letter Grade Grade Point Numerical % A 4.0 90% or more A- 3.7 85% to less than 90% B+ 3.3 80% to less than 85% B 3.0 75% to less than 80% B- 2.7 70% to less than 75% C+ 2.3 65% to less than 70% C 2.0 60% to less than 65% D 1.0 50% to less than 60% F 0.0 Less than 50%

b- Upon request, the student is issued a certificate in Arabic or English listing the

courses he/she registered and the corresponding grades. c- The grading of the qualifying courses required for the M.Sc. in Engineering

Mathematics and Physics shall follow the regulations of the undergraduate courses.

Clause (9): Grade Point Average (GPA)

a- Student is not considered to have successfully completed any course unless he/she achieves a grade C as a minimum.

b- Student is not considered to have successfully completed the requirements of the Postgraduate Diploma unless he/she achieves a minimum GPA of 2.0.

c- M.Sc. and Ph.D. students must achieve a minimum of 2.7 in each course. They are allowed to repeat any course once in accordance with Clause 9-i, or may choose another course to substitute this one unless the course is compulsory.

d- Courses that are completed at another university and found equivalent to courses in the program are not included in computing the GPA, and only courses taught at the Faculty of Engineering, Cairo University are used in computing the GPA.

e- Points are calculated for each course by multiplying the number of credit hours by the grade point.

f- The points sum is calculated at any stage by adding the points of all completed courses.

g- The GPA for any stage is the result of dividing the points sum by the total number of completed credit hours.

h- If the student achieves in any course a grade less than C for the Postgraduate Diploma or B- for the M.Sc. or Ph.D., this course shall not be considered among the credit hours required to fulfill the degree requirements.

i- Student may repeat the courses that were completed with a grade less or equal to C+ in order to improve his/her GPA or fulfill the degree requirements. The course shall be repeated both in attendance and examination, and the most recent grade shall be considered with a maximum of B when computing the GPA.

j- If a student fails twice, he/she may re-register in a new specialization/program as



8 GENERAL RULES

a fresh student.

Clause (10): Tuition Fees

Tuition fees shall be in accordance with the guidelines of the Supreme Council of Universities in Egypt.

Clause (11): Academic Advising

Each Department shall appoint an Academic Advisor at the beginning of the qualifying/preliminary stage. The Advisor shall continue for the duration of the Postgraduate Diploma, and is replaced by the Thesis Advisor(s) for M.Sc. students and Dissertation Advisor(s) for Ph.D. students.

Clause (12): Study Structure

Figure (1) shows the study structure stages and number of credit hours required for each stage. Courses are designated as level 500, 600 and 700 to complement the undergraduate levels of 000 for preparatory year up to 400 for the fourth year.

Figure (1): Schematic diagram of the general plan for postgraduate studies.

Clause (13): Registration Suspension

Registration suspension shall be in accordance with the requirements of the Graduate Studies Council for Cairo University and shall be performed prior to the current registration expiry and shall not be valid for earlier periods. The Faculty Council may approve the suspension of a student based on the suggestion of the Responsible Department for the following cases:

a- Medical/health conditions provided that the applicant submits medical certificates approved from the Medical Department of the University.

b- Accompanying a spouse in travel provided that the applicant establishes proof of acceptance of travel from the employer of the spouse.



9 GENERAL RULES

c- Military conscription and providing evidence to that effect. d- Childcare leaves provided that the applicant submits the childs birth certificate or

acceptance of the Employer if the applicant is employed. e-Training Fellowships and Official Missions that require travel of the student and

are assigned by his/her employer. f- The maximum suspension duration is four semesters throughout the registration

period as a graduate student. This period may be exceeded upon approval of the University based on the recommendations of the Faculty Council.

g- No registration suspension may take place while the student is studying the courses for M.Sc. or Ph.D.

Clause (14): Registration Cancellation

Registration is cancelled in the following situations: a- Student has used up all chances to repeat the courses. b- Student is found guilty of cheating. c- The advisor submits a report stating that the student is not seriously pursuing

his/her research. d- For M.Sc. and Ph.D. students, submission of a report by the Thesis Evaluation

Committee stating that the Thesis is not up to the standard for granting the degree. e- Student submits a written request for cancellation and it is approved by the

University Vice President for Graduate Studies.

Clause (15): Residency Requirements (for foreign students)

All foreign students must provide evidence that they have been granted a minimum stay in Egypt of two academic years.

Clause (16): Attendance

A student is ineligible to sit for exam in any course unless he/she attends at least 75% of the lectures. This procedure shall be based on a report from the course instructor to the Responsible Department, approved by the Graduate Studies Committee and the Faculty Council.

Clause (17): Courses Coding

Each course is identified by three letters indicating the Department in charge of/ responsible for teaching the course as shown in Table (1). The three letters are followed by the three-digit course number indicating the course level (500, 600 or 700) and the course number.



10 GENERAL RULES

Table (1): Codes for various departments

No. Department Code 1 Engineering Mathematics and Physics Department MTH,PHY,MEC 2 Architectural Engineering Department ARC 3 Structural Engineering Department STR 4 Public Works Department PBW 5 Irrigation and Hydraulics Department IHD 6 Mechanical Power Engineering Department MEP 7 Mechanical Design and Production Department MDP 8 Aeronautics and Space Engineering Department AER 9 Electronics and Communication Department EEC 10 Electrical Power and Machines Department EPM 11 Chemical Engineering Department CHE

12 Mining, Petroleum, and Metallurgy Department MET, MIN, PEN 13 Biomedical Engineering and Systems Department SBM 14 Computer Engineering Department CMP 15 General courses GEN

Clause (18): Courses

a- All graduate courses are offered for one full semester (15 weeks). This regulation defines the courses, the corresponding credit hours, and the Department responsible for teaching each course.

b- Graduate courses are divided into: - Level 500 courses are of an applied nature and are offered mainly to

Postgraduate Diploma students. - Level 600 courses are academic in nature and are offered to M.Sc. and Ph.D.

students. Departments may also offer level 700 courses, targeting mainly Ph.D. students.

Clause (19): Credit Hours

a-Each credit hour corresponds to 50 contact minutes weekly for the entire semester duration (15 weeks).

b- 20% of the grade is allocated for semester work. This percentage may be increased to 30% if a written exam is held within the semester. The percentage of semester work may be modified upon request of the instructor and approval of the Department Council, Graduate Studies Committee, and Faculty Council prior to semester commencement as long as it ranges between 20% and 50%. c-The written final exam of the project course or other applied courses as stated in the responsible department course list may be substituted by an oral exam. In these courses, the percentage of the semester work as defined in Clause 19-b may be modified.

Clause (20): Scientific Content of Courses



11 GENERAL RULES

The Faculty Council shall approve the technical content of all graduate courses as defined by the Responsible Department or the Steering Committee managing the Interdisciplinary Diploma or M.Sc. Degree.

Clause (21): Re-registration

If the registration of any student is cancelled for any of the reasons specified in clauses 14, 30, 39 or 52, the Faculty Council may approve re-registration based on the recommendations of the Graduate Studies Committee. The student shall apply at the dates specified in Clause (4) following the general rules specified in Clause (5) and the special conditions for registration for each degree. The student may be exempted based on the approval of the Responsible Department Council from some of the courses he/she attended if he/she achieved a grade B and not more than 5 years have passed since he/she had achieved the grade in these courses.

Clause (22): Interdisciplinary Studies

Each year the Faculty Council nominates a Steering Committee for each interdisciplinary diploma with the authorities of the Department Council in managing these diplomas. The members of the Steering Committee shall be the Faculty Members in charge of teaching the courses and the Committee is chaired by the Vice Dean for Graduate Studies and Research. New interdisciplinary Diplomas may be developed upon the suggestion of the Graduate Studies Committee, approval of the Faculty Council, and presentation to the University Council for Graduate Studies and Research.

Clause (23): Scientific Theses and Dissertations

After the student completes the Thesis and gets it signed by the Main Advisor, he/she submits two copies of the Thesis to the Responsible Department and a date for a general lecture on the subject of the Thesis (Seminar) is set. After the Seminar, the Thesis Main Advisor presents the following to the Department Council, in preparation to submission to the Faculty Council:

a- A report indicating that the Thesis is ready for evaluation, indicating the Thesis title in both Arabic and English.

b- A request for the Thesis Evaluation Committee, including the names of five candidates, one of them the Thesis Advisor (or Advisors, counted as one vote).

c- Four copies of the Thesis written in accordance with the rules and formatting for writing theses are submitted to the Thesis Evaluation Committee. After the necessary modifications are done and the Thesis is accepted by the Thesis Evaluation Committee, the student submits to the Graduate Studies Administration the following: five copies of the Thesis approved by the Thesis Advisors as well as the Thesis Evaluation Committee and the Department Chair; a CD containing a soft copy of the Thesis and forms; and five hard copies of the summary in Arabic and English, approved by the Thesis Main Advisor; in addition to a data sheet signed by the student and advisors.

Clause (24): Theses Evaluation Committee

a- Upon the recommendation of the Department Council, the Faculty Council forms



12 GENERAL RULES

an Evaluation Committee for the Thesis/Dissertation consisting of three faculty members; one of them is the Advisor(s) with one vote, and two other examiners who are Professors or Associate Professors in Egyptian or foreign universities or experts in similar scientific experience provided that at least one of them is not a member of the staff of the Faculty of Engineering, Cairo University. The Evaluation Committee is chaired by the most senior member. If a new member is added to the Thesis supervision, the Evaluation Committee shall not be formed unless six months have elapsed since the date of addition of the new advisor, provided that the student has not exceeded the maximum period allowed for the Thesis preparation. The University Vice President for Graduate Studies and Research approves the Evaluation Committee after the approval of the Faculty Council. A Thesis shall not be defended or reviewed before at least 15 days has passed from the date the Committee was officially approved by the university. Approval of the Evaluation Committee is an implicit approval of a 6-month extension for the Thesis. This six month duration is the period of validity of the Evaluation Committee.

b- Members of the Evaluation Committee appointed by the Department Council must have sufficient experience in the specific area of research and have scientific publications in the same area.

c- In the Evaluation Committee for a M.Sc. Thesis, at least one of the examiners shall not be a member of the Faculty of Engineering, Cairo University staff.

d- In the Evaluation Committee for a Ph. D. Dissertation, at least one of the examiners shall not be a member of the Cairo University staff.

e-A faculty member shall not participate in an Evaluation Committee for a student who is related to him/her up to the fourth level.

f- Upon the request of the Thesis Main Advisor, the Responsible Department Chair and Vice Dean for Graduate Studies and Research approve the date of the defense.

g- The defense may take place in the presence of two members of the Evaluation Committee provided that the Thesis Advisor is one of them. In case one of the Committee members is not a resident of Egypt, it is sufficient to receive a report from him/her stating his/her assessment of the Thesis.

h- Each member of the Evaluation Committee shall submit a Thesis report, in addition to a group report using the standard forms prepared by the Graduate Studies for Thesis evaluation. The Thesis defense conclusion and all reports are presented to the Responsible Department Council, then to the Graduate Studies Committee, then to the Faculty Council prior to submission to the University Council.

i- The Evaluation Committee shall come to one of two conclusions: 1. Thesis acceptance. 2. Thesis total rejection.

The Thesis may be completed by the student according to what the committee deems necessary and he/she is granted an extension of not more than six months after the date of the defense provided that the student has not exceeded the maximum period allowed for the Thesis. In such a case, the student is re-examined and a new group report is submitted to the Responsible Department Council with the outcome of the Thesis review and discussions.



13 POSTGRADUATE DIPLOMA

POSTGRADUATE DIPLOMA

Clause (25): Areas of Study Cairo University Council grants the degree of Postgraduate Diploma in one of the specializations shown in Table (2) upon the recommendations of the Faculty of Engineering Council. The Certificate is granted indicating the title of the Diploma. New Diplomas may be introduced based on the suggestions of the Responsible Department Councils and approval of the Graduate Studies Committee and the Faculty Council. New Diplomas may be developed in a specialized or inter-disciplinary area with bodies outside the university. For the specialized diploma, the Responsible Department Council sets the regulations for the diploma, and it is approved by the Graduate Studies Committee and the Faculty Council. For inter-disciplinary Diploma, a steering committee is formed chaired by the Vice Dean for Graduate Studies and Research and the Faculty members responsible for teaching the courses.

Table (2): Postgraduate Diplomas Name of Diploma Responsible Department No.

Specialized Diplomas Optimization in Engineering Systems Engineering Mathematics and Physics 1 1. Architectural Studies. 2. Building Science & Technology. 3. Environmental Design & Planning. 4. Urban Design & Community Development. 5. Urban Planning.

Architectural Engineering 2

1. Reinforced Concrete. 2. Structural Steel Design. 3. Materials Engineering & Technology. 4. Structural Analysis by Computers. 5. Earthquake Engineering. 6. Construction Engineering 7. Structural Engineering.

Structural Engineering 3

1- Surveying & Ground Information Systems. 2- Railway Engineering. 3- Traffic Engineering & Transportation Planning. 4- Highways & Airport Engineering. 5- Sanitary & Environmental Engineering. 6- Soil Mechanics & Foundations.

Public Works 4

1- Irrigation & Drainage Engineering. 2- Coastal & harbor Engineering. 3- Water Resources System Engineering.

Irrigation and Hydraulics 5

1. Pipelines, pumps, and Turbines. 2. Combustion & Internal Combustion Engines. 3. Refrigeration & Air Conditioning. 4. Power Plants & Steam Engineering.

Mechanical Power Engineering 6

1. Mechanical Design. 2. Production Engineering. 3. Industrial Engineering. 4. Mechanical Systems. 5. Stress Analysis & Mechanical Failures.

Mechanical Design and Production 7




Table (2): Postgraduate Diplomas (Cont.) Name of Diploma Responsible Department No.

1. Aircraft Design. 2. Rockets & Propulsion Engineering. 3. Air Transportation Engineering. 4. Aerospace Technologies & Applications.

Aeronautics and Space Engineering 8

1. Electrical Power Systems. 2. Generation & Utilization of Electric Power 3. High Voltage Engineering 4. Electrical Machines & Drive Systems. 5. Automatic Control Systems. 6. Power Electronics. 7. Electrical Power Systems Protection 8. Safety Engineering in Installations & Power Stations.

Electrical Power and Machines 9

--- Electronics and Communications 10

Chemical Engineering Diploma Chemical Engineering 11

1. Design & Mining Technology. 2. Mineral Processing Technology. 3. Petroleum Exploration Engineering. 4. Petroleum Production Engineering. 5. Tribology & Metal Protection Engineering. 6. Metal Extraction Engineering. 7. Metal Forming & Heat Treatment Engineering.

Mining, Petroleum, and Metallurgy 12

1. Biomedical Engineering. 2. System Engineering. 3. Medical Information Technology. 4. Clinical Engineering. 5. Bioinformatics 6. Biomechanics and Rehabilitation.

Biomedical Engineering and Systems 13

1. Computer Engineering. 2. Computer Network Engineering. Computer Engineering 14

1. Renewable Energy. 2. Engineering Management. 3. Environmental Engineering. 4. Natural Gas Engineering. 5. Textile Engineering. 6. Risk Engineering. 7. Radiation Technology. 8. Advanced Materials Technologies. 9. Maintenance of Structures.

Interdisciplinary (Steering Committee for Interdisciplinary Diplomas) 15

The Responsible Department, title and type of Postgraduate Diploma shall be specified in the certificate.

Clause (26): Courses Postgraduate Diploma courses are divided into two phases, indicated as follows: 1. Preliminary Study Phase:

Attended by all students with a B. Sc. Degree in Engineering from an Egyptian University or an accredited equivalent in all specializations.

Student completes 12 credit hours from level 500 courses according to Faculty regulations and the available courses.




The Responsible Department Council may require the student to complete some undergraduate courses (level 400 or less) and these courses do not count amongst the credit hours stated in Clause (28).

2. Graduate Diploma Phase: Students attend this phase after successful completion of the preliminary one with a GPA at least 2.3 (C+). Student completes 18 credit hours from level 500 courses, and may include some level 600 courses.

These regulations define the courses and number of credit hours required for each Postgraduate Diploma.

Clause (27): Duration of Study The time required to attain any of the Postgraduate Diplomas shall not exceed four main semesters if the student is registered as a part-time student. The Faculty Council may approve, upon the proposal of the Responsible Department Council, the duration of study to be two main semesters only provided that he/she is enrolled as a full-time student.

Clause (28): Number of Credit Hours The minimum credit hours for each Postgraduate Diploma shall not be less than 30 hours of courses of level 500 or 600. Qualifying courses (undergraduate courses, level 400 or less) shall not count as part of these credit hours.

Clause (29): Equivalency of Courses The Faculty Council may approve, upon the request of the Responsible Department Council, the transfer of credit for some courses that the student has successfully completed at the graduate level at any Egyptian University or an accredited equivalent provided that not more than five years have passed since the date he/she studied these courses. The number of credit hours transferred in the Postgraduate Diploma is limited to a maximum of 12 hours.

Clause (30): Registration Cancellation The student's registration is cancelled in any of these cases: 1. If he/she fails a course twice. 2. If he/she does not pay the fees on time. 3. If he/she submits a request for withdrawal in accordance with Clause (14).

Clause (31): Project

1. Student has to prepare a project during the final semester under the supervision of Faculty Members.

2. The Responsible Department Council forms an examination committee of the Faculty Members to examine the student in the project. The number of members of the examination committee shall not exceed four. The committee is approved by the Faculty Council.

3. 3. If the student fails in the project once, he/she is allowed a second chance in the following semester. The registration is cancelled if he/she fails twice in the project



16 MASTER OF SCIENCE IN ENGINEERING

MASTER OF SCIENCE IN ENGINEERING

Clause (32): Areas of Study

Cairo University Council grants, upon the recommendation of the Faculty Council, the degree of M. Sc. via the scientific departments listed in Table (1). The name of the scientific department (and specialization) and the title of the Thesis shall be stated in the certificate. Other interdisciplinary specializations among different engineering departments or in collaboration with foreign distinguished universities may be introduced upon proposal by the Faculty Council and approval of the University Council.

Clause (33): Registration Requirements

In order to register for M. Sc. Degree, in addition to the rules stated in Clause (5), the student shall:

a. Have a B. Sc. in Engineering with a minimum general rate of appreciation "Good" from any Faculty of Engineering in Egyptian Universities or an equivalent degree from any other institution accredited by the Supreme Council of Universities in Egypt.

b. Dedicate at least two days per week for attending the courses. c. The Faculty Council may accept, upon the recommendations of the

Responsible Department, a student for the M. Sc. degree if he/she graduated with a rate of appreciation less than "Good" provided that he/she has attained a Postgraduate Diploma from any Faculty of Engineering accredited by the Supreme Council of Universities in Egypt and achieved a minimum rate of appreciation "Good" in this Diploma.

d. The Faculty Council may accept a student for the M. Sc. degree if he/she graduated with a rate of appreciation "Pass" after finishing some preliminary courses defined by the Responsible Department with a number of credit hours not less than 12 (level 400 or 500) determined by the Advisor and approved by the Responsible Department, and achieving a minimum GPA of 2.7 in these courses.

e. Students registered for an M. Sc. degree in engineering mathematics, physics, or mechanics who have not obtained a degree from the Faculty of Science shall complete at least 12 credit hours of qualifying courses from the B. Sc. level of the relevant specialization and shall register for the M. Sc. after successful completion of these courses. If the student already has a B. Sc. in Science in addition to his B. Sc. in Engineering, he/she may register directly for an M. Sc. taking into consideration items a, b and c stated above as well as Clause (5).

f. Students having a B.Sc. Degree in a specific specialization may register for an M.Sc. degree in another specialization after successfully completing the exams in qualifying courses that are defined by the Responsible Department. These hours shall not count as part of the credit hours stated in Clause (35).




Clause (34): Duration of Study a. The minimum period to obtain an M. Sc. is four main semesters from

the date of registration. b. The maximum period to obtain an M. Sc. is eight main semesters from

the date of registration, taking into consideration the periods of suspension of registration. The period may be extended for two more main semesters upon the request of the Thesis Main Advisor and the approval of the Responsible Department, the Graduate Studies Committee and the Faculty Council.

Clause (35): Study Requirements a. Student shall study 12 credit hours of level 500 (A student who has a

B.Sc. with rate of appreciation "Good" or has a Postgraduate Diploma with rate of appreciation "Good" is exempted from these hours). The student then studies at least 18 credit hours from courses of level 600/700, then prepares a thesis that is equivalent to 18 credit hours.

b. Student chooses the courses that he/she plans to attend during the semester from those courses announced by the Responsible Department and listed in the Regulations. These courses shall be approved by the Vice Dean for Graduate Studies and Research.

c. The courses shall include a course on technical writing, research methods and report preparation.

d. Student shall demonstrate his proficiency in the English Language before applying for the Seminar. This is achieved by passing a test of English as a foreign language (TOEFL) with the score approved by the Faculty Council.

e. The Responsible Department may require the student to attend some courses as directed by the Main Advisor, whether undergraduate or level 500 courses of the Department or other Departments in the Faculty or other schools at Cairo University or foreign accredited universities provided that the total number of hours does not exceed 8 hours. These hours do not count as part of the hours listed in item "a".

f. Student shall complete all course requirements in a period of no more than two main semesters. He/she may request the exception of up to 6 credit hours to be completed during the next two semesters. The request shall be approved by the Faculty Council after the approval of the Responsible Department and the Graduate Studies Committee. In such a case, the student may register for the Thesis with the Thesis Advisor but the registration shall be cancelled if he/she fails in any of these courses.

g. Student shall perform a research in a topic defined by the Main Thesis Advisor and the student shall present a Thesis including the outcome of the research.

h. The Responsible Department Council may agree on revising the research topic upon the request of the Main Advisor, without affecting the duration of the study defined in Clause (34). The request shall be approved by the Faculty Council after the approval of the Graduate Studies Committee.




Clause (36): Supervision a. The Faculty Council appoints the Thesis Main Advisor, upon the

suggestion of the Responsible Department Council and approval of the Graduate Studies Committee. The Main Advisor shall be chosen from the Professors or Associate Professors of the Faculty. Assistant Professors may also be included in the Supervision Committee.

b. The Supervision Committee may include specialists who are at the same level as Professors or Associate Professors, upon the approval of the Faculty Council. The number of advisors shall not be more than three.

c. The Advisor is appointed while the student is studying the courses and before working on the Thesis, provided that the GPA achieved for the courses is not less than 2.7 and according to Clause (9).

d. If one of the Thesis Advisors has to travel for a long duration, the Faculty Council may opt to leave the supervision committee unchanged, or to add a new member, or remove the name of the member who is travelling abroad, or both actions. This is done upon the recommendations of the Responsible Department Council and the approval of the Graduate Studies Committee, based on a report presented by the travelling member prior to his travel and endorsed by the Main Advisor, provided that item "a" is implemented.

e. The Thesis Main Advisor may suggest a modification of the advisory committee by adding or removing members or both. The suggestion shall be approved by the Responsible Department Council, the Graduate Studies Committee, the Faculty Council, and the University Vice President for Graduate Studies and Research, provided that item "a" is implemented.

f. The Thesis Main Advisor shall present a report at the end of the Academic Year to the Responsible Department Council describing the progress of the student and recommending continuation or termination of his/her enrollment.

Clause (37): Equivalency of Courses The Faculty Council may approve, upon the suggestion of the Responsible Department and approval of the Graduate Studies Committee, the equivalency for courses studied within the same level, specialization and studied earlier at the Faculty or at another Institution accredited by the Supreme Council of Universities in Egypt. The student must have studied the courses within at most five years prior to the year of registration for the M. Sc. Degree and achieved at least a rate of appreciation "Good". The maximum credit hours transferred shall be limited to six credit hours only.

Clause (38): Awarding the Degree The Faculty Council shall recommend awarding of the M.Sc. degree upon the recommendation of the Responsible Department Council and the Graduate Studies Committee when the student fulfills the following requirements:

a. Completion of at least four main semesters from the date of registration. b. Succeeding in all course requirements with a minimum cumulative GPA

of 2.7. c. Acceptance of the Thesis by the Evaluation Committee and their




recommendation that the Degree is granted in accordance with Clause (24).

Clause (39): Enrolment Termination The Faculty Council shall terminate the enrolment for the M.Sc. Degree in the following cases:

a. Failure to successfully complete any compulsory courses (unless the student re-registers and succeeds) or failure to achieve a minimum GPA of 2.7 (B).

b. Upon the request of the Main Advisor, and approval of the Responsible Department Council and the Graduate Studies Committee, if the student is not serious in pursuing his/her research.

c. Rejection of the Thesis and recommendation not to grant the degree by the Evaluation Committee.

d. Failure to complete the M. Sc. requirements during the period specified in Clause (34), after taking into consideration the periods of suspension of registration.

e. Request of the student to cancel his/her enrollment, approved by the University Vice President for Graduate Studies and Research.

f. Failure to pay the specified fees in accordance with the regulating rules. This is not applicable for Teaching Assistants at the Faculty.

Clause (40): Changing Registration If the student does not achieve a cumulative GPA of at least 2.7 upon completion of the M.Sc. courses, he/she may request changing the registration to a Postgraduate Diploma. Courses that he/she completed with a grade of 2.0 or more may be credited in the Postgraduate Diploma. The switch is effective upon the approval of the Responsible Department Council, Graduate Studies Committee, and the Faculty Council.



20 DOCTOR OF PHILOSOPHY IN ENGINEERING

DOCTOR OF PHILOSOPHY IN ENGINEERING

Clause (41): Areas of Study Cairo University grants, upon the recommendation of the Faculty of Engineering Council, the degree of Ph. D. via study in the scientific departments listed in Table (1). The name of the scientific department (and specialization) and the title of the Dissertation shall be stated in the certificate.

Clause (42): Registration Requirements In order to register for Ph. D. Degree, the student shall:

a. Satisfy the general rules stated in Clause (5). b. Have an M. Sc. in Engineering Sciences in the same specialization from any

Faculty of Engineering in Egyptian University or an equivalent degree accredited by the Supreme Council of Universities in Egypt.

c. Successfully complete an Admission Exam. d. Apply to the Dean for registration after securing the acceptance of his

supervision by one of the Professors or Associate Professors. The request is approved by the Department Council after identifying the area of research. The documents are then submitted to the Graduate Studies Council then to the Faculty Council.

Clause (43): Admission Exam The Admission Exam shall be held twice each year in each specialization. A four-hour written examination should be held in subjects studied at the undergraduate and Master Degree. Each Department shall form an Examination Committee to set the special conditions of the exam and the acceptance criteria.

Clause (44): Registration Requirements a. Student shall complete at least 18 credit hours from courses of level 600/700. b. Student shall pass a test of English as a foreign language (TOEFL) with the

level approved by the Faculty Council within 12 months from registration. c. Student shall pass a Comprehensive Exam during the period between six

months and 18nths after registration. d. The main area of research of the Dissertation shall be determined by the Main

Advisor and approved by the Responsible Department Council and the Vice Dean for Graduate Studies and Research. The student submits a Dissertation which should include a new scientific contribution in the specialization field within the time frame defined in Clause (48).

e. The Responsible Department Council may agree on revising the research topic only once upon the request of the Main Advisor. This may take place with or without a change in the supervision committee. The revision shall be approved by the Graduate Research Council and the Faculty Council, without affecting the duration of the study defined in Clause (48)

f. Student shall complete all course requirements in a period of no more than three main semesters. He/she may request the exception of up to 6 credit hours to be completed during the next two semesters. The request shall be approved by the Faculty Council after the approval of the Responsible Department and the Graduate Studies Committee.

g. Student shall demonstrate for the Comprehensive Exam Committee his/her capabilities in using the computer according to the rules set by the Faculty.




h. Student shall present a seminar on the topic of research in front of a committee of specialized faculty and general audience.

i. Student shall prepare a dissertation that is equivalent to 30 credit hours. Clause (45): Ph. D. Courses

a. Student shall complete at least 12 credit hours from the Ph. D. courses (level 700 or level 600 that were not previously studied) with a minimum GPA of 2.7 before starting work on the dissertation.

b. The Main Advisor shall choose courses that are relevant to the topic of the dissertation and the choice shall be approved by the Department Council and the Graduate Studies Committee.

Clause (46): Comprehensive Exam a. The Faculty Council shall approve the Comprehensive Exam Committee for all

Ph. D. students in each department upon the request of the Responsible Department Council and approval of the Graduate Studies Committee. The committee shall include several Professors or Associate Professors who are specialized in the general area of research. At least one member should be from another department and one member from outside the Faculty of Engineering, Cairo University in addition to the main advisor.

b. The Comprehensive Exam is held between six and eighteen months from the date of registration after paying the tuition fees of the exam and provided that the student has completed at least six credit hours of Ph.D. courses.

c. The Exam Committee shall prepare the exam to include a written part and an oral part.

d. The written part of the Comprehensive Exam shall be held twice every year for each department, and the date is determined by the Department Council. The objective of the exam is to judge the scientific background of the student.

e. If the student successfully completes the written part of the exam (minimum 70%), he/she may complete the oral part. The oral part aims at judging the information of the student in the specialization and his ability to contribute to the field.

f. Student is considered to have successfully completed the exam if he/she achieves at least 70% in both the written and oral exams.

g. Student may get two chances to complete the Comprehensive Exam. Clause (47): Seminar

a. Student shall present a seminar on the topic of his/her research in front of a committee of specialized faculty and the general public after a period not less than 12 months from the date of successful completion of the comprehensive exam.

b. The Responsible Department Council shall be informed of the date of the seminar and advertize it in a clear location in the Faculty.

c. The Dissertation Main Advisor informs the Department Council of the completion of the Seminar.

Clause (48): Duration of Study a. The minimum period to obtain a Ph. D. is four main semesters from the date of

completing the Comprehensive Exam. b. The maximum period to obtain a Ph. D. is ten main semesters from the date of




registration, taking into considerations the periods of suspension of registration. The period may be extended for two more main semesters upon the request of the Dissertation Main Advisor and the approval of the Responsible Department Council, Graduate Studies Committee, and the Faculty Council.

Clause (49): Supervision a. The Faculty Council appoints the Dissertation Main Advisor, upon the

suggestion of the Responsible Department Council and approval of the Graduate Studies Committee. The Main Advisor shall be chosen from the Professors or Associate Professors of the Faculty. Assistant Professors may also be included in the Supervision Committee.

b. The Supervision Committee may include specialists who are at the same level as Professors or Associate Professors, upon the approval of the Faculty Council. The number of advisors shall not be more than three.

c. The supervision of the Dissertation may be joined between a committee determined by Cairo University and an Advisor from another foreign university or Institution approved by the Supreme Council of Universities in Egypt. In this case, the number of advisors shall not be more than four.

d. The Advisor is appointed after the student completes the courses and before working on the Dissertation, provided that the cumulative GPA obtained for the courses shall not be less than 2.7 and according to Clause (9).

e. If one of the Dissertation Advisors has to travel for a long duration, the Faculty Council may opt to leave the supervision committee unchanged, or to add a new member, or remove the name of the member who is travelling abroad, or both actions. This is done upon the recommendations of the Responsible Department Council and the approval of the Graduate Studies Committee, based on a report presented by the travelling member prior to his travel and endorsed by the Main Advisor, provided that item "a" is implemented.

f. The Dissertation Main Advisor may suggest a modification of the advisory committee by adding or removing members or both. The suggestion shall be approved by the Responsible Department Council, the Graduate Studies Committee, the Faculty Council, and the University Vice President for Graduate Studies and Research, provided that item "a" is implemented.

g. The Dissertation Main Advisor shall present a report at the end of the Academic Year to the Responsible Department Council describing the progress of the student and recommending continuation or termination of his/her enrollment.

Clause (50): Equivalency of Courses The Faculty Council may approve, upon the suggestion of the Responsible Department Council and approval of the Graduate Studies Committee, the equivalency of studied courses within the same level (600/700), specialization and studied earlier at the Faculty or another Institution accredited by the Supreme Council of Universities in Egypt. Student must have studied the courses during the five years prior to the year of registration for the Ph. D. Degree and achieved at least a rate of appreciation "Good". The maximum credit hours transferred shall be limited to six credit hours only.

Clause (51): Awarding the Degree




The Faculty Council shall recommend awarding of the Ph.D. degree upon the recommendation of the Responsible Department and the Graduate Studies Committee when the student fulfills the following requirements:

a. Completion of the minimum duration of study as per Clause (48). b. Succeeding in all course requirements and Comprehensive Exam. c. Completing the seminar. d. Dissertation acceptance and recommendation of the Degree to be granted by

the Evaluation Committee. e. Acceptance of at least one research paper from the Dissertation in a specialized

scientific refereed journal that is included in international indexes. Clause (52): Enrolment Termination The Faculty Council shall terminate the enrolment for the Ph.D. in the following cases:

a. Upon the request of the Main Advisor, and approval of the Responsible Department Council and the Graduate Studies Committee, if the student is not serious in pursuing his/her research.

b. Failure twice in the Comprehensive Exam. c. Not completing the degree requirements during the period specified in the

regulations. d. Request of the student to cancel his/her registration, approved by the

University Vice President for Graduate Studies and Research. e. Failure to pay the specified fees in accordance with the regulating rules.



24 Continuing Education

CONTINUING EDUCATION

Clause (53): Studying Courses Only a. The Faculty Council may accept, upon the request of the Responsible

Department Council and the Graduate Studies Committee, students who are eligible for graduate studies according to this regulation to attend one (or more) courses from the Graduate Courses offered and attend the Evaluation after paying the appropriate fees. Upon successful completion of the course the student shall get a certificate of completion of the course but not a Postgraduate diploma or degree.

b. If the same student submits an application to register for a Postgraduate Diploma, the Faculty Council may consider, upon the request of the Responsible Department Council and the Graduate Studies Committee, the credits for the course (or courses) that the student has successfully completed with a minimum rate of appreciation "Good". The number of credit hours shall not exceed 16 hours provided that not more than five years have passed since he/she studied the courses. This is not applicable for M. Sc. or Ph. D.

Clause (54): Exchange Programs a. The Faculty Council may allow, upon the request of the Responsible

Department and the Graduate Studies Committee, graduate students to study some courses in foreign universities that have cultural agreements with Cairo University. A maximum of two such courses may count towards achieving the degree provided that they do not exceed eight credit hours and provided that they have not been studied more than five years at most prior to registration.

b. The Faculty Council may allow, upon the request of the Responsible Department Council and the Graduate Studies Committee, foreign graduate students enrolled in foreign universities that have any cultural agreements with Cairo University to study some courses at the Faculty of Engineering. The students shall be granted a certificate with the result of their exams.

c. The Faculty Council may allow, upon the request of the Responsible Department Council and the Graduate Studies Committee, professors from foreign universities that have cultural agreements with Cairo University to teach some graduate courses at the Faculty of Engineering.

Clause (55): Distant Education a. The Faculty Council may allow, upon the request of the Responsible

Department Council and the Graduate Studies Committee, engineers to study graduate courses listed in this regulation (level 500) by distant learning. Upon successful completion of the courses, they are granted a certificate from the Faculty.

b. The Faculty Council may allow, upon the request of the Responsible Department Council and the Graduate Studies Committee, courses that were studied by distant learning to count towards obtaining a Postgraduate Diploma if the applicant is eligible for a Diploma. The number of credit hours shall not be more than six credit hours.



25 Continuing Education

Clause (56): Specialized Studies

a. The Faculty Council may hold, upon the request of the Responsible Department, training courses or study workshops at the graduate studies and research level aiming at upgrading the scientific level and continuing education for engineers or specialists with accredited university degrees.

b. National and foreign scientific societies as well as relevant institutions and organizations may participate in organization of these courses and workshops.

c. The participants in the courses or workshops may be awarded a certificate, after paying the fees, without obtaining a scientific degree.



26 TRANSITIONAL RULES

TRANSITIONAL RULES.

Clause (57): Regulation Validity This regulation shall be valid for all students enrolled for graduate studies after the ministerial decree approving the regulations. Students registered before that date shall follow the regulations of year 2003 and the relevant complementary rules.



27 Engineering Mathematics and Physics

Engineering Mathematics and Physics Department




Courses of the Optimization in Engineering Systems Diploma

Code Course Title Credit Hours Pre-requisites

MTH511 Numerical Analysis 3 MTH541 Introduction to Operations Research 2 MTH542 Modeling of Linear Systems 3 MTH543 Theory of Engineering Systems 2 MTH544 Network Models in Engineering Systems 2 MTH581 Utilization of Computers in Engineering Systems 2 MTH545 Decision Making in Engineering Systems 2 MTH546 Modeling of Dynamic Systems 3 MTH547 Simulation of Engineering Systems 2 MTH548 Optimization of Nonlinear systems 3 MTH563 Queuing Models in Engineering Systems 2 MTH591 Project 4

All courses are required




Qualifying Courses for the M. Sc. Degree in Engineering Mathematics


MTH401 Linear Algebra 2 MTH402* Abstract Algebra 2 MTH411* Topology 2 MTH412* Real Analysis 2 MTH413 Complex Analysis 2

MTH414* Functional Analysis 2 MTH421* Differential Geometry 2 MTH431 Introduction to Differential and Integral Equations 2 MTH441 Numerical Analysis 2 MTH442 Introduction to Operations Research and Optimization 2 MTH451 Mathematical Physics 2 MTH461 Probability and Statistics 2

The student selects a minimum of 14 credit hours provided that 6 credit hours are selected from the courses with an (*).

Requirements for the M. Sc. Degree in Engineering Mathematics


GEN600 Technical Writing 1

MTH6

The student selects a minimum of 18 credit hours from the 600-level elective engineering mathematics courses. It is possible, when necessary, with the approval of the Department Council, to substitute for up to 3 hours of them with courses of the same level offered by the department or other departments.

18

MTH699 M. Sc. Thesis (mandatory) 18

Requirements for the Ph. D. Degree in Engineering Mathematics


MTH700 Comprehensive Examination (mandatory) 4 MTH799 Ph. D. Dissertation (mandatory) 30

The student selects a minimum of 14 credit hours from the 600/700 elective engineering mathematics courses. It is possible, when necessary, with the approval of the Department Council, to substitute for up to 3 hours of them with courses of the same level offered by the department or other departments. The total number of credit hours in the 700-level courses should not be less than 6.

14




Elective Courses for the M. Sc. and Ph. D. Degrees in Engineering Mathematics Code Course Title Credit Hours Pre-requisites

MTH601 Advanced Linear Algebra 3 MTH401 MTH611 Advanced Functional Analysis 3 MTH414 MTH631 Advanced Difference and Differential Equations 3 MTH431 MTH632 Partial Differential Equations 3 MTH431, 451 MTH633 Integral Equations 3 MTH431, 451 MTH641 Advanced Numerical Analysis 3 MTH401, 441 MTH642 Numerical Analysis of Partial Differential Equations 3 MTH441 MTH643 Approximation Theory and Methods 3 MTH401 MTH644 Linear and Integer Programming 3 MTH401, 442 MTH645 Nonlinear and Dynamic Programming 3 MTH401, 441, 442 MTH661 Statistics and Random Systems 3 MTH461 MTH662 Design and Analysis of Experiment 3 MTH461 MTH681 Design and Analysis of Algorithms 3 MTH682 Automata Theory, Languages and Computation 3 MTH683 Theory of Language Translation 3 MTH684 Logic 3 MTH685 Combinatorics and Graph Theory 3 MTH690 Selected Advanced Topic 3 MTH741 Numerical Linear Algebra 3 MTH401, 441 MTH742 Numerical Solution of Integral Equations 3 MTH441 MTH761 Advanced Probability 3 MTH412, 461 MTH762 Stochastic Differential Equations 3 MTH461 MTH781 Neural Modeling 3 MTH782 Theory of Computation 3 MTH681, 682 MTH783 Program Analysis 3 MTH681, 683 MTH784 Logic for Problem Solving 3 MTH684 MTH790 Selected Advanced Topic 3

Qualifying Courses for the M. Sc. Degree in Engineering Physics


PHY401 Classical Mechanics 2 PHY403 Quantum Mechanics 4 PHY401 or concurrent PHY421 Statistical Physics 3 PHY403 or concurrent PHY422 Solid State Physics 3 PHY403 or concurrent

PHY421 or concurrent All courses are required. Requirements for the M. Sc. Degree in Engineering Physics


GEN600 Technical Writing 1 PHY610 Mathematical Methods in Physics 3 PHY651 Classical Electrodynamics 1 3 PHY699 M. Sc. Thesis 18

The student selects 12 credit hours of 600/700-level elective physics courses. It is possible, when necessary, with the approval of the Department Council, to substitute for up to 6 hours of them with courses of the same level offered by the department or other departments.

12




Requirements for the Ph. D. Degree in Engineering Physics

Code Course Title Credit Hours Pre-

requisites PHY700 Comprehensive Examination 4 PHY799 Ph. D. Dissertation 30

The student selects 14 credit hours of 600/700 elective physics courses. It is possible, when necessary, with the approval of the Department Council, to substitute for up to 3 hours of them with courses of the same level offered by the department or other departments. The total number of credit hours in 700-level courses counted towards the M. Sc. And Ph. D. degrees should not be less than 6.

14

Elective Courses for the M. Sc. and Ph. D. Degrees in Engineering Physics


PHY601 Advanced Quantum Mechanics 3 PHY403 PHY611 Advanced Mathematical Methods 3 PHY610 PHY612 Computational Physics 3 PHY621 Applied Solid State Physics 3 PHY422 PHY622 Materials Science 3 PHY422 PHY623 Solid State Electronics 3 PHY422 PHY624 Optoelectronics 3 PHY422 PHY625 Physics of Solar Cells 3 PHY422 PHY626 Quantum Nanostructures 3 PHY623 PHY631 Atomic Physics 3 PHY403 PHY632 Nuclear Physics 3 PHY403 PHY633 Nuclear Reactors 3 PHY632 PHY634 Radiation Physics 3 PHY632 PHY641 Applied Spectroscopy 3 PHY631 PHY643 Applied Optics 3 PHY644 Lasers and Their Applications 3 PHY631 PHY652 Classical Electrodynamics II 3 PHY651 PHY653 Plasma Physics 3 PHY651 PHY661 Biophysics 3 PHY662 Biomechanics 3 PHY671 Experimental Physics 3 PHY422

PHY632 or concurrent PHY672 Measurement Physics 3 PHY673 Non-destructive Testing 3 PHY674 Digital Signal Processing in Physics 3 PHY690 Selected Advanced Topics 3 consent of instructor PHY 701 Quantum Field Theory 3 PHY601

PHY611 PHY702 Quantum Computation and Quantum

Information 3 PHY403





PHY721 Advanced Statistical Mechanics 3 PHY421 PHY601

PHY722 Many-Body Theory 3 PHY601 PHY721

PHY723 Advanced Solid State Physics 3 PHY422 PHY601

PHY724 Electric Transport in Nanostructures 3 PHY601 PHY626

PHY741 Quantum Optics 3 PHY601 PHY751 Advanced Electromagnetic Theory 3 PHY652 PHY790 Selected Advanced Topics for Ph. D. Students 3 for Ph. D. students only

with the consent of the instructor

Qualifying Courses for the M. Sc. Degree in Engineering Mechanics.

Requirements for the M. Sc. Degree in Engineering Mechanics.


GEN600 Technical Writing 1 MEC6** The student selects at least 18 credit hours from the table of elective mechanics courses. 18

MEC699 M. Sc. Thesis 18

Requirements for the Ph. D. degree in Engineering Mechanics.


MEC6** The student selects at least 14 credit hours from the table of elective mechanics courses. 14

MEC700 Comprehensive Examination 4 MEC799 Ph. D. Dissertation 30


MTH493 Applied Mathematics 2 MEC431 Fluid Mechanics 2 MEC441 Continuum Mechanics 2 MEC451 Analytical Mechanics 2 MEC461 Thermo dynamics 2 MEC462 Electro dynamics 2




Elective Courses for the M. Sc. and Ph. D. Degrees in Engineering Mechanics


MTH672 Advanced Applied Mathematics 4 MTH493 MEC621 Variational Methods in Mechanics 2 MTH493

MEC631 Magneto Hydrodynamics 3 MEC462 MEC431 MEC632 Geophysical Fluid Dynamics 3 MEC431 MEC633 Wave Propagation in Fluids 3 MEC431

MEC634 Friction in Fluid Motion 3 MEC431 MEC461 MEC641 Theory of Plates and Shells 3 MEC441 MEC642 Advanced Continuum Mechanics 3 MEC441 MEC643 Wave Propagation in Solids 3 MEC441

MEC644 Theory of Vibrations 3 MTH493 MEC451 MEC651 Multi-Rigid Bodies Dynamics 3 MEC451 MEC661 Experimental Mechanics 2 MEC690 Selected Advanced Topic 3




Description of the Courses

GEN600: Technical Writing (1cr.) Grammar review Punctuation and numbering Parallelism Principles of writing sound technical sentences Principles of writing sound technical paragraphs Basics of writing technical reports, theses and articles.

Courses of the Optimization in Engineering Systems Diploma

MTH511: Numerical Analysis (3cr.) Numerical methods for solving linear systems of equations: direct and relaxation methods Numerical solution of ordinary differential equations Introduction to the numerical solution of partial differential equations.

MTH541: Introduction to Operations Research (2cr.) Principles of decision making Modeling Some basic problems such as transportation problems, shortest-path problem and linear programming problem Duality Sensitivity analysis.

MTH542: Modeling of Linear Systems (3cr.) Formulation of linear models Graphical solution and geometrical representation Simplex method Solution sensitivity Optimal solution of engineering problems.

MTH543: Theory of Engineering Systems (2cr.) Simulation systems Theory of systems Inputs and outputs Evaluation of performance criteria Calibration of models.

MTH544: Network Models in Engineering Systems (2cr.) Examples for flow problems in networks Transportation and assignment problems The problem of optimal transportation time Maximum flow problems Shortest-path problems Management of projects.

MTH581: Utilization of Computers in Engineering Systems (2cr.) Operating systems and the fundamentals of computer science Advanced computer languages Computer applications for solving eigenvalue problems Computer applications for solving engineering systems problems.

MTH545:Decision Making in Engineering Systems (2cr.) Decision under risk Decision making trees Decision under uncertainty conditions Game theory.

MTH546: Modeling of Dynamic Systems (3cr.) The dynamic phenomenon Formulation of dynamic models Solution sensitivity Applications such as the optimal design of sequential engineering systems and the design and analysis of computer and communication networking systems.

MTH547: Simulation of Engineering Systems (2cr.)




Evolution and application of simulation models Examples of simulation models pseudo random numbers Generation methods for random differences Simulation languages.

MTH548: Optimization of Nonlinear systems (3cr.) Models for some nonlinear systems Unconstrained optimization methods Constrained optimization methods Nonlinear programming Minimax techniques applications.

MTH563: Queuing Models in Engineering Systems (2cr.) Basic elements of queues Effects of Poisson and the exponential distribution Common arrival and departure queues Analysis through Markov chains Data collection and selection Decision making queuing models Multi-servers waiting time.

Qualifying Courses for the M. Sc. in Engineering Mathematics

MTH401: Linear Algebra (2cr.) Basic properties of vector spaces and linear transformations, algebra of polynomials, characteristic values and diagonalizable operators, invariant subspaces and triangulable operators. The primary decomposition theorem, cyclic decompositions and the generalized Cayley-Hamilton theorem. Rational and Jordan forms, inner product spaces, The spectral theorem, bilinear forms, symmetric and skew symmetric bilinear forms.

MTH402: Abstract Algebra (2cr.) Set Theory Mapping Relations and Functions Algebraic Systems and Operations Semigroups Monoids Groups Subgroups Cosets and Langrange's Theorem Invariant Subgroups Quotient Groups Group Homomorphism Permutations Rings and Ideals.

MTH411: Topology (2cr.) Set Theory Topological Spaces Base, Subbase Spaces Continuous Functions Homomorphism Metric Spaces Connectedness Compactness Axioms of Separation, Regular Spaces and Normal Spaces.

MTH412: Real Analysis (2cr.) Uniform Continuity, Function of Bounded Variation Riemann Stieljes Integrals Sequence of Functions Point wise and Uniform Convergence and Convergence in Mean.

MTH413: Complex Analysis (2cr.) Complex Numbers Functions Limits and Continuity Bilinear Transformation Complex Differentiation and Cauchy Riemann Equations Complex Integrations and Cauchy's Theorem Integration Infinite Series Taylor's and Laurent's Series.

MTH414: Functional Analysis (2cr.)

Metric Spaces Convergence and Completeness Separable, Normed Space Banach Space Linear Operators Linear Functions Normed Spaces of Operators Dual Spaces Inner Product Spaces Hilbert Spaces Orthogonal Sets and Sequences.




MTH421: Differential Geometry (2cr.)

Curves in Spaces and its Properties and kinds Surface and its Forms and Properties the Connection between Surfaces and Curves on Surfaces.

MTH431: Introduction to Differential and Integral Equations (2cr.) Existence and Uniqueness ( Method of Successive Approximation Gronwal inequality) System of Differential Equations Jordan Canonical Form Stability Theory Uniform and Asymptotic Stability Liapunov Functions Basic Theory on Fredholm and Volterra Integral Equations.

MTH441: Numerical Analysis (2cr.) Numerical Solution of Linear Equations and Matrix Inversion Root Finding of Equations Curve Fitting and Interpolation Numerical Integration and Differentiation Interval Analysis Perturbation of Linear Equations Methods for Interval Analysis.

MTH442: Introduction to Operations Research and Optimization (2cr.)

Introduction to linear programming The simplex Method Duality Transportation Models Network Models Introduction to nonlinear programming.

MTH451: Mathematical Physics (2cr.) Special Functions ( Gamma, Beta, Bessel, Legendre, Lageurre, Hermite and Hypergeometric Functions) Partial Differential Equations All Analytic Methods for First and Some Types of Second Order Under Some Conditions of Non-homogeneous and Homogenous Applications of Separation of Variables Method.

MTH461: Probability and Statistics (2cr.) Basic Concepts (Revision) Moment Generating and Characteristic Functions Central Limit Theorems Functions of Random Variables Computer Simulation Introduction to Stochastic Processes Sampling Theory.

Elective Courses for the M. Sc. and Ph. D. in Engineering Mathematics

MTH601: Advanced Linear Algebra (3cr.) Prerequisites: MTH 401

Inner Product Spaces Normal, Hermition and Unitary Operators Orthogonal Projections The Spectral Theorem with Applications Schur's Theorem and Jordan Canonical Form The Singular Value Decomposition and Applications.

MTH611: Advanced Functional Analysis (3cr.) Prerequisites: MTH 414

Hahn, Banach Theorem Adjoint Operators Reflexive Spaces Category Theorem Sequences of Operators and Functionals Banach Fixed Point Theorem Spectral Theory of Linear Operators in Normed Spaces Compact Linear Operators on Normed Spaces.




MTH631: Advanced Difference and Differential Equations (3cr.) Prerequisites: MTH 431

Difference Equations: The Difference Calculus Linear Difference Equations Stability Theory. Ordinary and Functional Differential Equation: Existence and Uniqueness Stability Theory Sturm's Theorem and Oscillation Theory.

MTH632: Partial Differential Equations (3cr.) Prerequisites: MTH 431- MTH 451

Partial Differential Equations of the First Order Partial Differential Equations of the Second Order Laplace's Equation The wave equation The Diffusion Equation.

MTH633: Integral Equations (3cr.) Prerequisites: MTH 431 - MTH 451

Volterra Integral Equation Def

1English Reg Final Nov 2010

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Transcript of 1English Reg Final Nov 2010