University of Mumbai Semester 2 (FE First Year) Applied Mathematics 2 Syllabus - Free PDF Download
University of Mumbai Syllabus 2025-26 Semester 2 (FE First Year): The University of Mumbai Semester 2 (FE First Year) Applied Mathematics 2 Syllabus for the examination year 2025-26 has been released by the , University of Mumbai. The board will hold the final examination at the end of the year following the annual assessment scheme, which has led to the release of the syllabus. The 2025-26 University of Mumbai Semester 2 (FE First Year) Applied Mathematics 2 Board Exam will entirely be based on the most recent syllabus. Therefore, students must thoroughly understand the new University of Mumbai syllabus to prepare for their annual exam properly.
The detailed University of Mumbai Semester 2 (FE First Year) Applied Mathematics 2 Syllabus for 2025-26 is below.
CBCGS [2016 - current]
CBGS [2012 - 2015]
Old [2000 - 2011]
University of Mumbai Semester 2 (FE First Year) Applied Mathematics 2 Revised Syllabus
University of Mumbai Semester 2 (FE First Year) Applied Mathematics 2 Course Structure 2025-26 With Marking Scheme
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Syllabus
1: Beta and Gamma Functions, Differentiation Under Integral Sign and Exact Differential Equation old [Revision]
University of Mumbai Semester 2 (FE First Year) Applied Mathematics 2 Syllabus
1.01 Beta and Gamma Functions and Its Properties [Revision]
1.02 Rectification of Plane Curves [Revision]
1.03 Differential Equation of First Order and First Degree [Revision]
2: Differential Calculus old [Revision]
University of Mumbai Semester 2 (FE First Year) Applied Mathematics 2 Syllabus
2.01 Linear Differential Eqaution with Constant Coeffiecient [Revision]
2.02 Linear Differential Equations(Review), Equation Reduciable to Linear Form, Bernoulli’S Equation [Revision]
2.03 Cauchy’S Homogeneous Linear Differential Equation and Legendre’S Differential Equation, Method of Variation of Parameters [Revision]
2.04 Simple Application of Differential Equation of First Order and Second Order to Electrical and Mechanical Engineering Problem [Revision]
3: Numerical Solution of Ordinary Differential Equations of First Order and First Degree and Multiple Integrals old [Revision]
University of Mumbai Semester 2 (FE First Year) Applied Mathematics 2 Syllabus
3.01 Multiple Integrals‐Double Integration [Revision]
3.02 Taylor’S Series Method,Euler’S Method,Modified Euler Method,Runga‐Kutta Fourth Order Formula [Revision]
4: Multiple Integrals with Application and Numerical Integration old [Revision]
University of Mumbai Semester 2 (FE First Year) Applied Mathematics 2 Syllabus
4.01 Triple Integration [Revision]
4.02 Application to Double Integrals to Compute Area, Mass, Volume. Application of Triple Integral to Compute Volume [Revision]
4.03 Numerical Integration [Revision]
5: Differential Equations of First Order and First Degree [Revision]
University of Mumbai Semester 2 (FE First Year) Applied Mathematics 2 Syllabus
- Exact Differential Equations
- Equations Reducible to Exact Form by Using Integrating Factors
- Linear Differential Equations
- Equations Reducible to Linear Equations
- Bernoulli’S Equation
- Simple Application of Differential Equation of First Order and First Degree to Electrical and Mechanical Engineering Problem
6: Linear Differential Equations with Constant Coefficients and Variable Coefficients of Higher Order [Revision]
University of Mumbai Semester 2 (FE First Year) Applied Mathematics 2 Syllabus
- Linear Differential Equation with Constant Coefficient‐ Complementary Function
- Particular Integrals of Differential Equation
- Cauchy’S Homogeneous Linear Differential Equation
- Legendre’S Differential Equation
- Method of Variation of Parameters
7: Numerical Solution of Ordinary Differential Equations of First Order and First Degree, Beta and Gamma Function [Revision]
University of Mumbai Semester 2 (FE First Year) Applied Mathematics 2 Syllabus
- Taylor’S Series Method
- Euler’S Method
- Modified Euler Method
- Runga‐Kutta Fourth Order Formula
- Beta and Gamma Functions and Its Properties
8: Differentiation Under Integral Sign, Numerical Integration and Rectification [Revision]
University of Mumbai Semester 2 (FE First Year) Applied Mathematics 2 Syllabus
- Differentiation Under Integral Sign with Constant Limits of Integration
- Numerical Integration‐ by Trapezoidal
- Numerical Integration‐ by Simpson’S 1/3rd
- Numerical Integration‐ by Simpson’S 3/8th Rule
- Rectification of Plane Curves
9: Double Integration [Revision]
University of Mumbai Semester 2 (FE First Year) Applied Mathematics 2 Syllabus
- Double Integration‐Definition
- Evaluation of Double Integrals
- Change the Order of Integration
- Evaluation of Double Integrals by Changing the Order of Integration and Changing to Polar Form
10: Triple Integration and Applications of Multiple Integrals [Revision]
University of Mumbai Semester 2 (FE First Year) Applied Mathematics 2 Syllabus
- Triple Integration Definition and Evaluation
- Application of Double Integrals to Compute Area
- Application of Double Integrals to Compute Mass
- Application of Double Integrals to Compute Volume
- Application of Triple Integral to Compute Volume
