Mathematics III - MATH F211

Semester I 2025-2026

Instructor: Dr. Yasmeen Akhtar (for the first half of the course), Prof. Manoj Kumar Pandey (for the second half of the course)

IC: Dr. Anupama Sharma

Audience: 2nd Year B.E. students at BITS Pilani, K K Birla Goa Campus 

Schedule: Monday, Wednesday, Friday 3:00-3:50 PM at LT 2

Course Handout: Available on Quanta.

Lecture: Available on Quantaaws.

11/08/25 - Introduction and instructions related to the course, definitions, and general remarks on solutions of ODE, Solving first-order separable equations

13/08/25 - Geometric interpretation, Existence and Uniqueness of Solution of first-order IVP,  Picard's Theorem, and Examples

15/08/25 - Holiday

18/08/25 - Methods for solving first-order ODE: Homogeneous equation, Examples

 20/08/25 - Solving Exact equation, Integrating factor, Examples

22/08/25 - First-order linear differential equation, Bernoulli's Equation, Examples

25/08/25 - Second-order Linear Differential Equation: Existence and Uniqueness Theorem, Problems, The General Solution of Second-order Linear Differential Equation

27/08/25 - Holiday

29/08/25 - Linearly independent solutions, Wronskian, The General Solution of Second-order Linear homogeneous Differential Equation,  Examples

30/08/25 - (Wednesday's Schedule) Finding a linearly independent solution using a known solution of a second-order linear homogeneous differential equation,  Examples

01/09/25 - The General Solution of Homogeneous Second-order Linear Differential Equation with Constant Coefficient, Euler's equidimensional equation, Transforming into the constant coefficient eqn

03/09/25 - Finding a particular solution: Method of Undetermined Coefficients

05/09/25 - Holiday

08/09/25 - Method of Undetermined Coefficients

10/09/25 - Method of Variation of Parameters, Higher Order Linear Equations

12/09/25 - Third order Euler's equidimensional equation, Operator Method

15/09/25 - Operator Method

17/09/25 - System of first-order differential equations, Solution of system of two first-order linear differential equations

19/09/25 - Solving a homogeneous system of two first-order linear differential equations with constant coefficients

22/09/25 - Solving nonhomogeneous system, A short review of Power Series, Power Series Method for solving first-order differential equations

23/09/25 - Quiz 1

24/09/25 -  Solving first-order  and second-order linear differential equations using the power series method (Ordinary points)

26/09/25 -

29/09/25 -

01/10/25 -

End of Section 30 in the textbook

03/10/25 - Instructor for Section 31 onwards- Prof. Manoj Kumar Pandey

06/10/25- Midsem Exam

15/11/25- Quiz 2

01/12/25 - Comprehensive Exam