Department of Civil Engineeringcoretheory
ENGINEERING MATHEMATICS IV
MAT 2225
Syllabus
- 01Numerical solutions of partial differential equations by finite difference methods, five-point formula, Laplace Poisson Equations, Heat equation, Crank Nicolson's method, Wave equation
- 02Introduction to calculus of variations, geodesics, isoperimetric problems, approximate methods, Weighted Residual Approach, Least square method
- 03Application of Finite Difference technique: Statically determinate and indeterminate beams, Buckling of columns
- 04Introduction to Tensor Analysis
- 05Distributions: binomial, Poisson, uniform, normal, gamma, chi-square and exponential
- 06Moment generating function, Functions of one dimensional and two dimensional random variables, Sampling theory, Central limit theorem and applications
- 07Optimization Techniques: Introduction to Linear programming, Formation of Linear Programming problem, solution by graphical method, Simplex method
- 08Two phase simplex method, Transportation problems
References
- M Rajasekaran S, Numerical methods for Science and Engineering, Wheeler and Co. Pvt. Ltd., Allahabad, 1992
- Sastry S.S., Introductory methods of Numerical Analysis, Prentice Hall of India, New Delhi. 1995
- A. R. Mitchel and R. Wait, Finite Element Methods in Partial Differential Equations, John Wiley, 1997
- P. L. Meyer, Introduction to Probability and Statistical Applications,(2e), Oxford and IBH Publishing, Delhi, 1980
- Hamdy A. Taha, Operation research, (8e), PHI, 2007
- S. Narayanan, T. K. Manicavachagom Pillay, G. Ramanaiah, Advanced mathematics for engineering students, S. Viswanathan Pvt.. Ltd., 1985
Credits Structure
2Lecture
1Tutorial
0Practical
3Total