Department of Civil Engineeringcoretheory
ENGINEERING MATHEMATICS III
MAT 2125
Syllabus
- 01Gradient, divergence and curl
- 02Line, surface and volume integrals
- 03Green's, Gauss divergence and Stokes' theorems
- 04Fourier series of periodic functions
- 05Half range expansions
- 06Harmonic analysis
- 07Fourier integrals
- 08Sine and cosine integrals, Fourier transform, sine and cosine transforms
- 09Partial differential equation- Basic concepts, solutions of equations involving derivatives with respect to one variable only
- 10Solutions by indicated transformations and separation of variables
- 11One dimensional wave equation
- 12One dimensional heat equation and their solutions
- 13Introduction to probability: finite sample space, conditional probability and independence
- 14Bayes' theorem
- 15One dimensional random variables: Mean and variance
- 16Two and higher dimensional random variables: mean, variance, correlation coefficient and regression
References
- Murray R. Spiegel, Vector Analysis, Schaum Publishing Co., 1959.
- Erwin Kreyszig, Advanced Engineering Mathematics, (9e), Wiley Eastern, 2006.
- P. L. Meyer, Introduction to Probability and Statistical Applications, (2e), Oxford and IBH Publishing, Delhi, 1980.
- B. S. Grewal, Higher Engineering Mathematics, (43e), Khanna Publishers, 2014.
Credits Structure
2Lecture
1Tutorial
0Practical
3Total