M Tech (Common to All the Streams: MD, MSE, FTE, CM, AP)
SEMESTERI
Course No. 
Course Name 
L 
T 
P 
C 
ME 501 
Advanced Engineering Mathematics 
3 
0 
0 
6 
ME 502 
Engineering Computing Laboratory 
0 
0 
3 
3 

3 
0 
3 
9 
SEMESTERII: NIL
SEMESTERIII
Course No. 
Course Name 
L 
T 
P 
C 
ME 503 
Technical Writing 
1 
0 
2 
4 
ME 504 
Project Phase I 
0 
0 
20 
20 

1 
0 
22 
24 
SEMESTERIV
Course No. 
Course Name 
L 
T 
P 
C 
ME 505 
Project Phase II 
0 
0 
24 
24 

0 
0 
24 
24 
ME501 Advanced Engineering Mathematics
Linear Algebra: Introduction to vector space, linear independence, solution of simultaneous linear systems, uniqueness and existence, Algebraic eigenvalue problem, similarity transformation, Introduction of linear transformation, GramSchmidt orthonormalization
Multivariate Calculus: Differential geometry, parametric representation, FrenetSerret frame, directional derivative, Grad, Div and Curl, introduction to tensor algebra, equation of line, plane, surface, Line integral, path independence, Divergence theorem, Stokesâ€™ theorem, Greenâ€™s theorem in a plane
Ordinary Differential Equation: First order equations, integrating factor, orthogonal trajectories, Existence and uniqueness, Second order equations with constant coefficients, The CauchyEuler equation, Method of undetermined coefficients, variation of parameters,matrix method, SturmLiouville problems, trigonometric Fourier series
Integral Transform: Fourier series, Fourier integral, Fourier and Laplace transform, standard rules, Diracdelta and Heaviside function, convolution, solution of ODEs
Partial differential equation: Linear equations, superposition, separation of variable, Second order wave equation, Unsteady heat conduction equation, Laplace equation
Probability and Statistics: Probability Distribution, Bayes Theorem, Parameter Estimation, Testing of Hypothesis, Goodness of Fit
Texts/References
ME502 Engineering Computing Laboratory
Review of C/C++; Programming assignments for numerical methods like Euler Method for 1storder ODE, Gaussian Quadrature using C/C++; Review of Matlab and programming assignments for numerical differential and integration; Plotting functions: plot, bar, loglog, plotyy, polar, semilogx, semilogy, stairs, stem; Handling axis, title, legends, x and y label; Subplot; Three dimensional line plots, Surface mesh, Contour plots; Gauss Elimination Method
References
1. Y. P. Kanetkar, Let Us C, BPB, 16th edition, 2018.
2. B. Gottfried and J. Chhabra, Programming with C, Tata Mcgraw Hill, 4th Edition, 2018.
3. RudraPratap, Getting Started with Matlab, Oxford University Press, 7th edition, 2016.
4. Stormy Attaway, Matlab: A Practical Introduction to Programming and Problem Solving, ButterworthHeinemann Elsevier, 5th edition, 2018.
ME503Technical Writing
Modes of technical communication: Reports, Technical papers, book chapters, Manuals, Posters. Structure of a technical document. Copyright issues in technical writing: existing laws, open sources, permission procedure. How to write a good technical paper?,Proper procedure in citing already published works,Referencing styles. Common mistakes of English in scientific documents. Proper way of writing and citing equations. Proper use of figures and tables. Writing a good review paper. Writing of abstract, synopsis, cover letters, responses, discussion and keywords
References
00