Time Table for Second semester exams. Click Here to View and download

Friday, June 12, 2015

KTU Syllabus: MA102 Differential Equations 2015

Share this Post

Kerala Technological university KTU First year B.tech Syllabus for MA102 Differential Equations is given By 

Course No. :  MA102

Course Name: Differential Equations

L-T-P-Credits:  2-1-0-3

Year of Introduction: 2015

Course Objectives:

Students will be able to understand the fundamental concepts, theories and methods in Differential Equations and will be able to apply the concepts and methods described in the syllabus in various engineering and technological applications.


First order ordinary differential equations, second order ordinary differential equations, higher order linear differential equations, Fourier series, partial differential equations, applications of partial differential equations.

Expected outcome:  

Students must understand the fundamental concepts, theories and methods in differential equations and will be able to apply the concepts and methods described in the syllabus through class room teaching, text books, assignments and practice using software.

Text Book: 

1.    Erwin Kreyszig: Advanced Engineering Mathematics, Wiley
2.    A C Srivastava, P K Srivasthava, Engineering Mathematics Vol 2. Phi Learning Private Ltd


1.    S. L. Ross. Differential Equations, Wiley
2.    Mathematical Methods For Science And Engineering. Datta, Cengage Learing,
3.    B. S. Grewal. Higher Engineering Mathematics, Khanna Publishers, New Delhi.
4.    N. P. Bali, Manish Goyal. Engineering Mathematics, Lakshmy Publications
5.    D. W. Jordan, P Smith. Mathematical Techniques, Oxford University Press
6.    C. Henry Edwards, David. E. Penney. Differential Equations And Boundary Value Problems.Computing And Modeling, Pearson


Module 1 Contents

FIRST ORDER ORDINARY DIFFERENTIAL EQUATIONS (Book 1. Sections: 1.1, 1.3, 1.4, 1.5, 1.6) Introduction –Basic Concepts, Modelling. Separable ODEs, Modelling- Exact ODEs, Integrating Factors-Linear ODEs, Bernoulli Equation, Population Dynamics-Orthogonal Trajectories. (Theorems need not be proved. Sketching, plotting and interpretation of solutions of differential equations using suitable software)

Module 2 Contents

SECOND ORDER LINEAR ORDINARY DIFFERENTIAL EQUATIONS (Book 1. Sections: 2.1, 2.2, 2.4, 2.7, 2.8, 2.10) Homogeneous Linear ODEs of Second Order -- Homogeneous Linear ODEs with Constant Coefficients-Modelling of free oscillations of a Mass Spring system –Non-Homogeneous ODEs-Modelling: Forced Oscillations, Resonance – Solution by Variation of Parameters. (Theorems need not be proved. Sketching, plotting and interpretation of solutions of differential equations using suitable software)

Module 3 Contents

HIGHER ORDER LINEAR ORDINARY DIFFERENTIAL EQUATIONS (Book 1. Section: 3.1, 3.2, 3,2) Homogeneous linear ODEs- Initial value problem-Existence, uniqueness (without proof)- Homogeneous linear ODEs with constant coefficients- Non-Homogeneous linear ODEs-Method of variation of Parameters- Bending of elastic beam under a load. (Theorems need not be proved)


Module 4 Contents

FOURIER SERIES (Book 2. Section: 4.1, 4.2, 4.3, 4.4) Periodic Functions-Orthogonality of Sin and Cosine functions- Euler’s formula-Fourier series for even and odd functions-Half range expansions- half range Fourier cosine series - Half range Fourier sine series. (Use of soft ware’s to understand the convergence of Fourier series, sketching of partial sums)

Module 5 Contents 

PARTIAL DIFFERENTIAL EQUATION (Book 2. Section: 5.1.1, 5.1.2, 5.1.3, 5.1.4, 5.1.5, 5.1.9, 5.1.10, 5.2.6, 5.2.7, 5.2.8, 5.2.9, 5.2.10) Formation of PDEs-solutions of a first order PDE- General integral from complete solution-Method for solving first order PDE-Lagrange’s Method-Linear PDE with Constant Coefficients-Solution of Linear Homogeneous PDE with Constant Coefficient. 

Module 6 Contents 

APPLICATIONS OF PARTIAL DIFFERENTIAL EQUATIONS (Book 2. Section: 6.1, 6.2, 6.3, 6.4, 6.7, 6. 8, 6. 9, 6.9.1, 6.9.2) Method of Separation of Variables- Wave equation-Vibrations of a Stretched sting, Solution of one dimensional equation-The equation of Heat conduction – One dimensional Heat equation- Solution of one dimensional Heat equation –A long insulated rod with ends at zero temperatures- A long insulated rod with ends at non-zero temperatures. Hence the ma102 differential equations B.tech Syllabus for KTU .


Share this Post


Post a Comment

Kerala technological university blog always love to hear your opinions.So please give your feedback via commenting :-)


about be100 engineering mechanics be101-01 introduction to civil engineering be101-02 introduction to mechanical engineering sciences be101-03 introduction to electrical engineering be101-04 introduction to electronics engineering be101-05 introduction to computing and problem solving be101-06 introduction to chemical engineering be102 design and engineering be103 introduction to sustainable engineering be110 engineering graphics ce100 basics of civil engineering ce110 civil engineering workshop cgpa calculator ch110 chemical engineering workshop cs lecture notes cs110 computer science workshop cy100 chemistry cy110 engineering chemistry lab e-book e-books for s1 and s2 ebook ebooks for bce ebooks for intro to chemical engineering ebooks for intro to computing and problem solving ebooks for introduction to mechanical engineering sciences ebooks for sustainable engineering ec100 basics of electronics engineering ec110 electronics engineering workshop ee100 basics of electrical engineering ee110 electrical engineering workshop engineering chemistry e-books engineering design e-books engineering graphics e-books engineering mathematics e-books engineering mechanics e-books engineering physics e-books exam fees handbook info introduction to civil engineering e-books ktu academics lab manuals lecture notes ma101 calculus ma102 differential equations mba me100 basics of mechanical engineering me110 mechanical engineering workshop model question paper nss objective ph100 physics ph110 engineering physics lab previous question papers python tutorials Question Paper Pattern qustion papers research s1 s2 lecture notes s1s2 slides sample question papers sample qustion papers for s1s2 slides syllabus all in one syllabus for first year(s1 and s2) virtual lab


Kerala Technological university is established by Government of Kerala,India.There are about 157 Engineering colleges affiliated to the university.The university is some what more known under the name Kerala Technical University KTU.This blog has no relation with ktu. It's completely unofficial.


CET Campus, Thiruvananthapuram,Kerala -695016,India,Phone: +91 471 2598122, 2598422,Fax: +91 471 2598522


General Email: university@ktu.edu.in
Academic matters: academics@ktu.edu.in
Suggestions: letters@ktu.edu.in
Affiliation: affiliation@ktu.edu.in
Technical Support: support@ktu.edu.in