SAGE University, Indore2019/12/01 · 1. S. Ramamrutam & R.Narayanan; Applied Mechanics, Dhanpat...

1

SAGE University, Indore

Institute Name: IET Department of Civil Engineering

Course ECEBCE01P Basic Civil Engineering Lab

Credit Score L T/M P N C

- - 2 - 1

Evaluation Scheme Test 20

Marks Teacher Assessment

20 Marks End-Semester Examination

60 Marks

Total Hours required for this course

30

Prerequisites (if

any) Physics, Chemistry and Mathematics of 10th class.

Course

Objectives

The course objectives are as follows:

1. To give an overview of the fundamentals of the Civil Engineering fields to

the students.

2. To realize the importance of the Civil Engineering Profession in fulfilling

societal needs.

3. To give idea about construction material and its uses.

4. To give an overview on contouring with remote sensing.

5. To give idea about various ways of Transportation.

Course

Content

List of Experiments:

1. To perform traverse surveying with prismatic compass, check for local

attraction and determine corrected bearings and to balance the traverse

2. To perform leveling exercise by height of instrument of Rise and fall

method.

3. To perform survey with Total Station.

4 Various lab test on Cement.(a) Physical (b) Strength.

5. To determine the Compressive Strength of brick

6. To determine particle size distribution and fineness modulus of course and

fine Aggregate

7. To determine the compressive strength of cube

8. To determine bulking of sand.

9. To determine Impact value of Aggregate.

Texts “Basic Civil Engineering”, Dr. B.C. Punmia, Dhanpat Rai Publishing Co. (P) Ltd.

“Basic Civil Engineering”, Ramamrutham. S, Dhanpat Rai Publishing Co. (P) Ltd.

References

“Building Material” by Rangwala, S.C., Charotar publishing house pvt. Ltd.

Harbours,Docks& tunnel Engineering By R.Srinivasan

Basic Civil Engineering”, Dr. B.C. Punmia, Ashok Kumar Jain, Arun Kr. Jain,

Laxmi Publication

Course 1. Students will able to realize the importance of the Civil Engineering in day

https://www.google.co.in/search?tbo=p&tbm=bks&q=inauthor:%22Dr.+B.C.+Punmia%22


https://www.google.co.in/search?tbo=p&tbm=bks&q=inauthor:%22Ashok+Kumar+Jain%22

https://www.google.co.in/search?tbo=p&tbm=bks&q=inauthor:%22Arun+Kr.+Jain%22

2

Outcomes

(CO)

to day life.

2. Students will able to know about basics of construction materials, building

components, roads and survey.

3. Students will able to survey for mapping of Infrastructure planning.

4. Students will able to know about ground profile.

5. Students will able to know about various Transportation system.

Mapping of Course outcome with Program Outcomes CO/PO PO1 PO2 PO3 PO4 PO5 PO6 PO7 PO8

CO1 M H H L - - - -

CO2 M H H M - - - -

CO3 H H H L H M L -

CO4 L M M - - M - -

CO5 - L M H L H - -

High-H Medium-M Low-L

Teacher’s Assessment: Teachers Assessment of 20 marks is based on one of the / or

combination of few of following 1) Question answer based Theoretical Assignment 2) Case Study 3) Power point presentation of Topic which is related but out of syllabus 4) Class room Question & answer

5) Overall approach towards learning, creativity.

Assessment Pattern

Assessment

Pattern

Level No.

Knowledge Level Test Teachers

Assessment/

Assignment

End

Semester

Examination

K1 Remember 05 00 12

K2 Understand 05 02 12

K3 Apply 10 02 24

K4 Analyze 00 03 12

K5 Evaluate 00 03 10

K6 Create 00 00 00

Total Marks 100 20 10 70

Special Instructions if any: Nil

Designed by

1


Institute Name: IET, Indore Department of Civil Engineering

Course ECEBCE01T Basic Civil Engineering


3 - - - 3

Evaluation Scheme Test 20

Marks Teacher Assessment

20 Marks End-Semester Examination

60 Marks


45

Prerequisites (if

any) Physics , Chemistry and Mathematics of 10th class.

Course

Objectives


1. To give an overview of the fundamentals of the Civil Engineering fields to

the students.

2. To realize the importance of the Civil Engineering Profession in fulfilling

societal needs.

3. To give idea about construction material and its uses.

4. To give an overview on contouring with remote sensing.

5. To give idea about various ways of Transportation.

Course

Content

Unit:1-Properties and uses of construction materials – Stones, bricks, cement,

lime, timber – types.

Unit:2-Elements of Building - Site selection for buildings - Component of

building - Foundation- Shallow and deep foundations - Brick and stone masonry -

Plastering - Lintels, beams and columns - Roofs.

Unit:3-Surveying & Leveling - Classification-Chain Survey-Ranging-Compass

Survey-exhibition of different survey equipment. Height of Instrument method,

Rise and Fall method, Profile leveling.

Unit:4-Mapping & Sensing – Mapping details and contouring, Profile Cross

sectioning and measurement of areas, volumes, application of measurements in

quantity computations, Survey stations. Introduction of remote sensing and its

application. Unit:5-Application of Civil Engineering:- Tunnels:- Selection of route,

Engineering surveys, alignment, shape and size of tunnel, Examples of existing

important tunnels in India and abroad.

Harbours:- Types of Harbours, Harbours – layouts.

Airport :- General introduction of Airport Planning, Runway & Taxiway, Airport

site selection. Airport, Obstructions, Lightning & Traffic control.

Water supply:- Impurities of water and their significance, Water Treatment

methods, Rural water supply schemes.

Introduction of Bridge Engineering.

Texts “Basic Civil Engineering”, Dr. B.C. Punmia, Dhanpat Rai Publishing Co. (P) Ltd.

“Basic Civil Engineering”, Ramamrutham. S, Dhanpat Rai Publishing Co. (P) Ltd.


2

References

“Building Material” by Rangwala, S.C., Charotar publishing house pvt. Ltd.

Harbours,Docks& tunnel Engineering By R.Srinivasan

Basic Civil Engineering”, Dr. B.C. Punmia, Ashok Kumar Jain, Arun Kr. Jain,

Laxmi Publication

Course

Outcomes

(CO)

1. Students will able to realize the importance of the Civil Engineering in day

to day life.

2. Students will able to know about basics of construction materials, building

components, roads and survey.

3. Students will able to survey for mapping of Infrastructure planning.

4. Students will able to know about ground profile.

5. Students will able to know about various Transportation system.

Mapping of Course outcome with Program Outcomes CO/PO PO1 PO2 PO3 PO4 PO5 PO6 PO7 PO8

CO1 M H H L - - - -

CO2 M H H M - - - -

CO3 H H H L H M L -

CO4 L M M - - M - -

CO5 - L M H L H - -



combination of few of following 1) Question answer based Theoretical Assignment 2) Case Study 3) Power point presentation of Topic which is related but out of syllabus 4) Class room Question & answer

5) Overall approach towards learning, creativity.

Assessment Pattern

Assessment

Pattern

Level No.


Assessment/

Assignment

End

Semester

Examination



K3 Apply 10 02 24

K4 Analyze 00 03 12


K6 Create 00 00 00



Designed by


https://www.google.co.in/search?tbo=p&tbm=bks&q=inauthor:%22Ashok+Kumar+Jain%22

https://www.google.co.in/search?tbo=p&tbm=bks&q=inauthor:%22Arun+Kr.+Jain%22

1


Published by: SIRT Department of Applied Science

Program Name: B.Tech - CE Session : 2019-20

Course CODE-EBSCOS01T Name - Communication Skill


3 - - - 3

Program Outcomes:

Evaluation Scheme

Test 20 Marks Teacher

Assessment

20 Marks End-Semester

Examination

60 Marks

Total Hours

required for this

course

45

Prerequisites (if

any) Nil

Course

Objectives

After studying this Course, the students will know - 1. Importance of language proficiency 2. Basic English Grammar and how to use it 3. Develop good working vocabulary and use it 4. Learn usage of English language in day to day life, profession

Course Content

Unit I Grammar - Parts of speech, tenses, active and passive voice Unit II Writing tools - Article, synonyms, antonyms, homophones, punctuation,direct and indirect narrations, modals, phrasal verbs, question tags Unit III Reading basics - Reading with a purpose, reading practice, steps for effective reading, reading comprehension Unit IV Vocabulary basics - Importance of vocabulary, ways to build vocabulary, vocabulary lists, using vocabulary, building a good vocabulary through usage Unit V Usage - Sentence formation, applications, letters, short notes, short essays

Texts

1. English by Dr Neeta Satya Publications 2. English Grammar in Use by Raymond Murphy Cambridge Publications

.

References

1. Instant vocabulary by Norman Lewis 2. A Practical English Grammar by A . J. Thomson and A.V. Martinet 3. Business Correspondence and Report Writing by R C Sharma and

Krishna Mohan 4. Speaking and Writing for Effective Business Communication Francis

Soundararaj

Course

Outcomes

The course will result in the students having 1. Better understanding of grammar basics. 2. Good grasp over tools of effective english writing. 3. Good reading habits and benefiting from it. 4. Good understanding of how to build and use vocabulary . 5. Grip over how to use the course for being better in written english.

2

Mapping of Course outcome with Program Outcomes

CO/PO PO1 PO2 PO3 PO4 PO5 PO6 PO7 PO8

CO1

CO2

CO3

CO4

CO5


Designed By

Dr. SK Moghe

Mrs K. Dongre


Institute name: IET , Indore Department of Mechanical Engineering

Course Code Title

EMEEMC01P Engineering Mechanics LAB

Credit Score L T P N C 0 0 2 - 1

Prerequisites

(if any) Physics , Chemistry and Mathematics of 10th class


15

Course

Objectives

On completion of the course the student will be able to-

1. 1).Use scalar and vector analytical techniques for analyzing forces in statically determinate

structures.

2. 2). Apply basic knowledge of maths and physics to solve real-world problems.

3. 3) Solve for the resultants of any force systems

4) Determine equivalent force systems

5) Determine the internal forces in plane frames, simple span trusses and beams

6) Describe the motion of a particle in terms of its position, velocity and acceleration in

different frames of reference 7) Obtain the centroid, first moment and second moment of an area.

Course

Content

List of Experiment:-

1.To verify the law of Force Polygon

2. To verify the law of Moments using Parallel Force apparatus.

3.To find the forces in the members of Jib Crane

4. To determine Moment of inertia of Flywheel

5. To verify Law of Triangle of forces

6. To verify Lami’s Theorem.

7. To Verify Parallelogram of forces

8. To verify principle of Moment on Simple supported beam.

9. To determine MA, VR ,Efficiency of Screw jack

Texts

1. S. Ramamrutam & R.Narayanan; Applied Mechanics, Dhanpat Rai Pub 2. Prasad I. B. , Engineering Mechanics, Khanna Pubication.

3. Rajput R. K. Engineering Mechanics, S. Chand Publication .

4. Kumar D. S. Engineering Mechanics , Katson Books Publication.

Khurmi R. S. , Engineering Mechanics,

References

1. Russell C Hibbeler, (2009), Engineering Mechanics: Statics and Dynamics (12th

Edition), Prentice Hall.

2. Anthony M. Bedford and Wallace Fowler (2007), Engineering Mechanics: Statics and

Dynamics (5th Edition), Prentice Hal

3. Ferdinand P. Beer, E. Russell Johnston (2010), Vector Mechanics for Engineers: Statics

and Dynamics (9th Edition), Tata McGraw-Hill International Edition.

4. S.P, Timoshenko, Mechanics of stricture, East West press Pvt.Ltd.


Mapping of course outcomes with Program Outcomes-


CO1 - - - - - - H

CO2 M - M H - M - M

CO3 M M - M - - - -

CO4 - M M M M - - -

CO5 - - - - - M - -

CO6 H - - - - - M -

CO7 H - - - H M H M



combination of few of following

1) Question answer based Theoretical Assignment 2) Case Study 3) Power point presentation of Topic which is related but out of syllabus 4) Class room Question & answer 5) Overall approach towards learning, creativity.

Assessment Pattern;

Assessment

Pattern

Level No.


Assessment/

Assignment

End

Semester

Examination



K3 Apply 10 02 24

K4 Analyze 00 03 12


K6 Create 00 00 00



Designed by

Course

Outcomes

(CO)

After completion of course Student will be able to :-

CO1. Solve the engineering problems in case of equilibrium conditions.

CO2. Calculate the reaction forces of various supports of different structures.

CO3. Determine the resultant force and moment for a given system of forces

CO4. Determine the centroid, centre of gravity and moment of inertia of various surfaces

and solids.

CO5. Solve the problems involving dynamics of particles and rigid bodies

CO6. Understand basic dynamics concepts – force, momentum, work and energy.

CO7.Application of systematic engineering synthesis and design processes.


IET , Indore Department of Mechanical Engineering

Course Code Title

EMEEMC01T Engineering Mechanics

Credit Score L T P N C 3 0 0 0 3

Prerequisites

(if any) Physics , Chemistry and Mathematics of 10th class


45

Course

Objectives

On completion of the course the student will be able to-

1. 1).Use scalar and vector analytical techniques for analyzing forces in statically determinate

structures.

2. 2). Apply basic knowledge of maths and physics to solve real-world problems.

3. 3) Solve for the resultants of any force systems

4) Determine equivalent force systems

5) Determine the internal forces in plane frames, simple span trusses and beams

6) Describe the motion of a particle in terms of its position, velocity and acceleration in

different frames of reference 7) Obtain the centroid, first moment and second moment of an area.

Course

Content

UNIT 1: Introduction to Mechanics – Fundamental Principles – Laws of Mechanics,

Lami’s theorem, Parallelogram and triangular Law of forces, Coplanar forces – Free body

diagram – Equilibrium of particles - Equilibrium of particle in space.

UNIT2: Single equivalent force – Free body diagram – Types of supports and their

reactions – requirements of stable equilibrium – Moments and Couples – Moment of a force

about a point and about an axis –Varignon’s theorem – Equilibrium of Rigid bodies in two

dimensions.

UNIT3: Centre Of Gravity And Moment Of Inertia: Centroid of plane figures and centre of

gravity of masses and forces, moment of inertia of area and mass, radius of Gyration,

principle axes of sections and principle of inertia. Parallel axes Theorem & Perpendicular

axes Theorem.

UNIT4: Trusses and Shear Force & Bending moment diagrams of beams: application

to simple engineering structures and components, method of joints, method of sections for

forces in members of plan frames and trusses. Introduction of Beam , Shear force and

Bending moment, Force and Bending moment diagram.

UNIT 5: Dynamics:

Displacements, Velocity and acceleration, their relationship – relative motion – Curvilinear

motion – Newton’s law – Work Energy Equation of particles – Impulse and Momentum –

Impact of elastic bodies- Impact - direct and central impact – coefficient of restitution

Texts

1. S. Ramamrutam & R.Narayanan; Applied Mechanics, Dhanpat Rai Pub 2. Prasad I. B. , Engineering Mechanics, Khanna Pubication.

3. Rajput R. K. Engineering Mechanics, S. Chand Publication .

4. Kumar D. S. Engineering Mechanics , Katson Books Publication.

Khurmi R. S. , Engineering Mechanics,




CO1 - - - - - - H

CO2 M - M H - M - M

CO3 M M - M - - - -

CO4 - M M M M - - -

CO5 - - - - - M - -

CO6 H - - - - - M -

CO7 H - - - H M H M





References

1. Russell C Hibbeler, (2009), Engineering Mechanics: Statics and Dynamics (12th

Edition), Prentice Hall.

2. Anthony M. Bedford and Wallace Fowler (2007), Engineering Mechanics: Statics and

Dynamics (5th Edition), Prentice Hal

3. Ferdinand P. Beer, E. Russell Johnston (2010), Vector Mechanics for Engineers: Statics

and Dynamics (9th Edition), Tata McGraw-Hill International Edition.

4. S.P, Timoshenko, Mechanics of stricture, East West press Pvt.Ltd.

Course

Outcomes

(CO)

After completion of course Student will be able to :-

CO1. Solve the engineering problems in case of equilibrium conditions.

CO2. Calculate the reaction forces of various supports of different structures.

CO3. Determine the resultant force and moment for a given system of forces

CO4. Determine the centroid, centre of gravity and moment of inertia of various surfaces

and solids.

CO5. Solve the problems involving dynamics of particles and rigid bodies

CO6. Understand basic dynamics concepts – force, momentum, work and energy.

CO7.Application of systematic engineering synthesis and design processes.


Assessment Pattern

Assessment

Pattern

Level No.


Assessment/

Assignment

End

Semester

Examination



K3 Apply 10 02 24

K4 Analyze 00 03 12


K6 Create 00 00 00



Designed by


Sagar Institute of Research & Technology,

Indore Computer Science Engineering Department

Course Code Title

ECSFCI01P Fundamentals of Computer and IT LAB

Credit Score L T P N C

0 0 2 - 1

Prerequisites

(if any) Physics and Mathematics of 11th 12th class

Total Hours

required for this

course

30

Course

Objectives


1. To make aware students about various characteristics and applications of Computes and to provide the knowledge of computer components and their interconnection.

2. To provide the knowledge of computer memory and their types and to make students aware about the operating systems and their GUI

3. To provide the knowledge of various operating system functions. 4. To understand the concept of data storage and maintenance.

To learn the basics of Computer networks and internet and to make students aware about various applications of internet and how to use them.

Course

Content

MS-Windows :

1. Create a new folder and do the following:

a. Make a word document in it.

b. Make an Excel document in it.

c. Make a new folder in it

d. Rename the initial folder

e. Move the initial folder

f. Copy the initial folder.

g. Delete the initial folder 2. Implement the various well known features of Windows operating system such as Notepad,

WordPad, Paint, System tools, Entertainment etc. enclosed in Start→Programs→Accessories. 3. Implement various display properties by right clicking on the Windows Desktop. 4. Explore the taskbar of Windows. 5. Set the wall paper and screen saver. 6. Set the data/time.

MS-Word:

1. Create a document and

a. Put Bullets and Numbers b. Apply various Font parameters. c. Apply Left, Right, and Centre alignments. d. Apply hyperlinks e. Insert pictures f. Insert ClipArt g. Show the use of WordArt h. Add Borders and Shading


i. Show the use of Find and Replace. j. Apply header/footers

2. Create any document and show the use of File→versions.

3. Create any document and show the difference between paste and paste special.

4. Create a document to show the use of Washout/Watermark. 5. Implement the concept of mail merge. 6. Implement the concept of macros. 7. Implement the concept of importing a file/document. 8. Implement the concept of merging the documents. 9. Crate a student table and do the following:

a. Insert new row and fill data b. Delete any existing row c. Resize rows and columns d. Apply border and shading e. Apply merging/splitting of cells f. Apply sort g. Apply various arithmetic and logical formulas.

10. Create your resume using General Templates.

Computer Networks: 1. Connect the Internet; open any website of your choice and save the WebPages. 2. Search any topic related to your syllabi using any search engine and download the relevant

material. 3. Send any greeting card to your friend. 4. Create your E-Mail ID on any free E-Mail Server. 5. Login through your E-Mail ID and do the following:

a. Read your mail b. Compose a new Mail c. Send the Mail to one person d. Send the same Mail to various persons e. Forward the Mail f. Delete the Mail g. Send file as attachment

6. Surf Internet using Google to find information about your state 7. Surf Internet using Google to find Tourism information about your state 8. Surf Internet using Yahoo to find Hotels around your state 9. Surf Internet using Google to find information about educational institutes for teaching M.S in

comp science in India 10. Surf Internet using Google to find information about Indian Cricket team

Texts

1. Fundamentals of Computers: E Balagurusamy, TMH 2. Basic Computer Engineering: Silakari and Shukla, Wiley India 3. Fundamentals of Computers: V Rajaraman, PHI 4. Fundamentals of Computers: PK Sinha.

References

1. J. P. Tremblay and R.B. Bunt, “An Introduction of Computer Science –An Algorithmic Approach”, TMH.

2. Raja Raman V., "Fundamental of Computers" (4th edition.), Prentice Hall of India, New Delhi. 3. Trainer T., et al, "Computers”, McGraw Hill. 4. Norton, Peter, “Introduction to Computers, Mc-Graw-Hill.




CO1 - M M H M H M M

CO2 - M H M M H - M

CO3 M M M H M H M -

CO4 - M M H M H - M

CO5 - M - M - H M -





5. S.Jaiswal, “Fundamental of Computer & IT”, Wiley dream tech India. 6. NPTEL and Swayam Video Lectures

Course

Outcomes

(CO)

After reading this course students will learn: 1. About various characteristics and applications of Computers and various computer

components and their interconnection. 2. Concept of computer memory and their types and the concept of operating systems and

their GUI. 3. Various operating system functions. 4. The concept of data storage and maintenance. 5. The basics of Computer networks and internet and various applications of internet.


Assessment Pattern;

Assessment

Pattern

Level No.


Assessment/

Assignment

End

Semester

Examination



K3 Apply 10 02 24

K4 Analyze 00 03 12


K6 Create 00 00 00



Designed by


Sagar Institute of Research & Technology,

Indore Computer Science Engineering Department

Course Code Title

ECSFCI01T Fundamentals of Computer and IT

Credit Score L T P N C

2 0 - - 2

Prerequisites

(if any) Physics and Mathematics of 11th 12th class


30

Course

Objectives


1. To make aware students about various characteristics and applications of Computes and to provide the knowledge of computer components and their interconnection.

2. To provide the knowledge of computer memory and their types and to make students aware about the operating systems and their GUI

3. To provide the knowledge of various operating system functions. 4. To understand the concept of data storage and maintenance.

To learn the basics of Computer networks and internet and to make students aware about various applications of internet and how to use them.

Course

Content

UNIT-I INTRODUCTION

Computer definition, Characteristics and classification of Computers, Basic Applications of Computer, Generations of computers. Components of Computer System: Central Processing Unit (CPU), input/output Devices, Computer Memory: primary and secondary memory, magnetic and optical storage devices, Concepts of Hardware and Software. Data processing: concepts of data processing, Definition of Information and data, Basic data types, Storage of data/Information as files. UNIT-II SOFTWARE Software and Its Need, Types of Software - System Software, Application Software, System Software -Operating System, Utility Program, Programming Languages, Assemblers, Compilers And Interpreter, Programming Languages- Machine, Assembly, High Level , 4GL, Their Merits And Demerits, Application Software and its Types - Word- Processing software, Spreadsheet, Presentation Graphics. UNIT-III HARDWARE Input/output & Storage Units-: Keyboard, Mouse, Track ball, Joystick, Digitizing tablet, scanners, Digital Camera, Touch Screen, Monitors -characteristics and types of monitor , Printers and Its Types -Dot Matrix, Inkjet, Laser, Plotter. Storage Fundamentals - Primary Vs Secondary Data Storage ,Magnetic Tape, Magnetic Disks, Hard Disk Drives, Optical Disks, Flash Drives Video Disk, Hard Disk. UNIT-IV COMPUTER NETWORKS

Introduction to Internet, WWW and Web Browsers: Basic of Computer networks; LAN, WAN; Concept of Internet; Applications of Internet; connecting to internet; What is ISP; Knowing the Internet; Basics of internet connectivity related trouble shooting, World Wide Web; Web Browsing




CO1 - M M H M H M M

CO2 - M H M M H - M

CO3 M M M H M H M -

CO4 - M M H M H - M

CO5 - M - M - H M -


software, Search Engines; Understanding URL; Domain name; IP Address; Using e-governance website.

Texts

1. Fundamentals of Computers: E Balagurusamy, TMH 2. Basic Computer Engineering: Silakari and Shukla, Wiley India 3. Fundamentals of Computers: V Rajaraman, PHI 4. Fundamentals of Computers: PK Sinha.

References

1. J. P. Tremblay and R.B. Bunt, “An Introduction of Computer Science –An Algorithmic Approach”, TMH.

2. Raja Raman V., "Fundamental of Computers" (4th edition.), Prentice Hall of India, New Delhi. 3. Trainer T., et al, "Computers”, McGraw Hill. 4. Norton, Peter, “Introduction to Computers, Mc-Graw-Hill. 5. S.Jaiswal, “Fundamental of Computer & IT”, Wiley dream tech India. 6. NPTEL and Swayam Video Lectures

Course

Outcomes

(CO)

After reading this course students will learn: 1. About various characteristics and applications of Computers and various computer

components and their interconnection. 2. Concept of computer memory and their types and the concept of operating systems and

their GUI. 3. Various operating system functions. 4. The concept of data storage and maintenance. 5. The basics of Computer networks and internet and various applications of internet.





Assessment Pattern;

Assessment

Pattern

Level No.


Assessment/

Assignment

End

Semester

Examination



K3 Apply 10 02 24

K4 Analyze 00 03 12


K6 Create 00 00 00



1

SAGE UNIVERSITY INDORE

Sagar Institute of Research &Technology Department of Applied Science

Course Code Title

EBSMAT01T Mathematics - I


3 1 - - 4

Prerequisites (if

any) Mathematics and Physics of 11th & 12th class

Total Hours

required for this

course

60

Evaluation Scheme Mid Semester Test (MST)

20 Attendance/Quiz/ Assignment

20 End-Semester Examination (ESE)

60

Course

Objectives

The course Objectives are as follows:

1. To introduce the concept of rank of matrix, solution of simultaneous equations,

Eigen values and Eigen vectors.

2. To provide conceptual learning of higher order derivatives of various standard

functions and Leibnitz’s Theorem.

3. To introduce the basic concepts required to understand, construct, solve and

interpret differential equations

4. To give an ability to apply knowledge of mathematics on engineering

problems.

5. To learn the basics of Area and Volume by multiple Integration.

Course Content

UNIT-I: MATRICES:

Elementary Operations on Rows and Columns , Rank, Normal form, System of

Linear Equations, Consistency of linear system of equations, characteristic

equation, Eigen values, Eigen Vectors, Cayley-Hamilton Theorem.

UNIT-II: DIFFERENTIAL CALCULUS:

Successive differentiation, Leibnitz theorem, Taylor’s & Maclaurin’s Series for one

variable, Radius of Curvature for Cartesian, Parametric and Polar curves, Center of

curvature.

UNIT-III: FIRST ORDER ORDINARY DIFFERENTIAL EQUATION

Formation of differential equations, differential equations of first order (Variable

separable, Homogeneous, Linear and Exact with reducible form).

UNIT-IV: HIGHER ORDER ORDINARY DIFFERENTIAL EQUATION

Linear differential equations with constant coefficients and variable coefficients

Homogeneous linear differential equations, Simultaneous linear differential

equations.

UNIT-V: - APPLICATIONS OF INTEGRAL CALCULUS

Integral as the limits of the sum, Application in Summation of series, Beta and

Gamma functions(Definitions, Relation between Beta and Gamma functions,

Duplication formula, Applications of Beta & Gama Functions)., Change the Order

of Integration, Applications of Multiple Integral in Area, Volume, Surfaces &

Volume of Solid of Revolution about X-Axis & Y-Axis.

2


Texts

1. A Textbook Of Engineering Mathematics-1, Dube, R., Dhanpat Rai & Co. (P)

Ltd.

2. Introduction To Engineering Mathematics, Dass, H.K., S. Chand & Company

Ltd..

3. Advanced Engineering Mathematics, Jain, K. C..

4. Engg Mathematics-I, Jain D. K., Shree Ram Prakashan.

5. Engg Mathematics-Ii, Agarwal D.C, Shree Sai Prakashan.

6. Engg Mathematics-Iii, Agrawal D.C, Shree Sai Prakashan.

References

REFRENCE BOOKS:

1. Advanced Engg, Mathematics, Kreyszig,Erwin, Wiley India.

2. Higher Engineering Mathematics, Grewal, B.S., Khanna Publishers.

3. Engineering Mathematics, Prasad, I. B., Khanna Publishers.

4. Advanced Engineering Mathematics, "Bali, N.P", Cengege.

5. Advanced Engineering Mathematics, "Zill, Dennis, G.", Cengege.

Course

Outcomes (CO)

The students will be able to :

CO 1. Learn about characteristic equation, Eigen values and corresponding

eigenvectors of a given matrix.

CO 2. Classify differential equations according to certain features.

CO 3. Solve first order linear equations and nonlinear equations of certain

types and interpret the solutions.

CO 4. Solve second and higher order linear differential equations with constant

coefficients and construct all solutions from the linearly independent

solutions

CO 5. Learn about applications of Multiple Integral in Area, Volume and

Surfaces.

Mapping of course outcomes with Program Outcomes


CO1 M M

CO2 L

CO3 L L

CO4 L L

CO5 M L L





3


Assessment Pattern

Assessment

Pattern

Level No.


Assessment/

Assignment

End

Semester

Examination



K3 Apply 10 02 24

K4 Analyze 00 03 12


K6 Create 00 00 00



Designed by

4


SAGE University, Indore2019/12/01 · 1. S. Ramamrutam & R.Narayanan; Applied Mechanics, Dhanpat...

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