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Applied Mathematics 4 Semester 4 (SE Second Year) BE Chemical Engineering University of Mumbai Topics and Syllabus

CBCGS [2017 - current]
CBGS [2013 - 2016]
Old [2000 - 2012]

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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