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University of Mumbai Semester 4 (SE Second Year) Applied Mathematics 4 Revised Syllabus
University of Mumbai Semester 4 (SE Second Year) Applied Mathematics 4 and their Unit wise marks distribution
Units and Topics
| # | Unit/Topic | Marks |
|---|---|---|
| 100 | Fourier Series | - |
| 200 | Fourier Integrals and Fourier Transform | - |
| 300 | Partial Differential Equations | - |
| 400 | Vector Integration | - |
| Total | - |
Syllabus
100 Fourier Series
- Expansion of functions in any interval (a, b).
- Half range expansion; Complex form; Parseval’s identity theorem; Orthogonal and Orthonormal functions. (NO PROOFS REQUIRED)
200 Fourier Integrals and Fourier Transform
- sine & cosine Integrals, sine & cosine transforms, complex transforms. (NO PROOFS REQUIRED)
300 Partial Differential Equations
- Elliptic, Parabolic & Hyperbolic Equations; Laplace’s equation; One dimensional Heat & Wave Equation, Two Dimensional wave equation. (ONLY NUMERICAL PROBLEMS. NO PROOFS REQUIRED).
400 Vector Integration
- Green’s Theorem in the plain; Conservative & Solenoidal Fields.
- Gauss Divergence Theorem, Stoke's Theorem. (ONLY NUMERICAL PROBLEMS. NO PROOFS REQUIRED).
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