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

University of Mumbai Syllabus For Semester 4 (SE Second Year) Applied Mathematics 4: Knowing the Syllabus is very important for the students of Semester 4 (SE Second Year). Shaalaa has also provided a list of topics that every student needs to understand.

The University of Mumbai Semester 4 (SE Second Year) Applied Mathematics 4 syllabus for the academic year 2022-2023 is based on the Board's guidelines. Students should read the Semester 4 (SE Second Year) Applied Mathematics 4 Syllabus to learn about the subject's subjects and subtopics.

Students will discover the unit names, chapters under each unit, and subtopics under each chapter in the University of Mumbai Semester 4 (SE Second Year) Applied Mathematics 4 Syllabus pdf 2022-2023. They will also receive a complete practical syllabus for Semester 4 (SE Second Year) Applied Mathematics 4 in addition to this.

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

## 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

## 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,
• Stokes’ Theorem. (ONLY NUMERICAL PROBLEMS. NO PROOFS REQUIRED)