BIOcoretheorySem 3
ENGINEERING MATHEMATICS III
MAT 2124
Syllabus
- 01Periodic Functions, odd and even functions, Euler's formulae
- 02Half range expansions, Harmonic analysis
- 03Fourier integrals & transforms, Parseval's identity
- 04Functions of complex variable
- 05Analytic function, C-R equations, differentiation, Integration of complex function, Cauchy's integral formula
- 06Taylor's and Laurent Series, Singular points, Residues, Cauchy's residue theorem
- 07Conformal mappings, bilinear transformations
- 08Gradient, divergence and curl, their physical meaning and vector identities
- 09Line, surface and volume integrals
- 10Green's theorem, divergence and Stokes' theorem, applications
- 11Formation, solutions of equations involving derivatives with respect to one variable only
- 12Solutions by indicated transformations and separation of Variables
- 13Derivation of one dimensional wave equation (vibrating string) and its solution by using the method of separation of Variables
- 14D'Alembert's solution of wave equation
- 15Derivation of one dimensional heat equation using Gauss divergence theorem and solution of one dimensional heat equation
- 16Solution by separation of variables
References
- Eewin Kreyszig, Advanced Engineering Mathematics, (7e),1993, John Wiley & Sons, Inc.
- Murray R.Spiegel : Vector Analysis, (2e), 2009, Schaum Publishing Co.
- Grewal. B.S: Higher Engg. Mathematics, (43e), 2014, Khanna Publishers.
- Ramana B.V., Engineering Mathematics, (2e), 2007, Tata McGraw Hill Publishing Company limited.
Credits Structure
2Lecture
1Tutorial
0Practical
3Total