Mathematics III - MATH F211

Semester I 2023-2024

Instructor: Dr. Yasmeen Akhtar (for the first half of the course), Dr. Mihajul (for the second half of the course)

IC: Dr. Manoj Pandey 

Audience: 2nd year B.E. students at BITS Pilani K K Birla Goa Campus (Section No. L2)

Tutors: Madankar Saurabh Ramdas, Yogesh Trivedi, Sandhya Maurya, Binay Sahu, Vighnesh Vinod Alavani.

                        Schedule: M, W, F 12:00-12:50 PM, LT3 

Course Handout: Here.

Lecture: 

14/08/23 - Introduction, definitions, and general remarks on solutions of ODE, Families of Curve, Geometric interpretation

16/08/23 - Existence and Uniqueness Theorem, Orthogonal Trajectories, Growth and Decay, Variable Separable Equations, Examples

18/08/23 - Homogeneous Equation

21/08/23 - Exact Equation, Integrating Factor

23/08/23 - Integrating Factor, First-order Linear Equation

25/08/23 - First-order Linear Equation, Reduction of order

28/08/23 - Second-order Linear Differential Equation, Existence and Uniqueness Theorem

30/08/23 - Holiday

01/09/23 - The General Solution of Second-order Linear Differential Equation

04/09/23 - Finding a linearly independent solution using a known solution of second-order linear differential equation

06/09/23 - The General Solution of Homogeneous Second-order Linear Differential Equation with Constant Coefficient

08/09/23 - Finding a particular solution: Method of Undetermined Coefficients

11/09/23 - Method of Undetermined Coefficients

13/09/23 - Method of Variation of Parameters

15/09/23 - Higher Order Linear Equations

18/09/23 - Operator Method for Particular Solution

20/09/23 - Examples based on Operator method, System of first-order differential equations

22/09/23 - The general solution of a system of two first-order linear differential equations

24/09/23 - Quiz 1

25/09/23 - Solving homogeneous system of two first-order linear differential equations

27/09/23 - Review of Power Series: Test for Convergence, Radius of Convergence, Interval of Convergence, Analytic function

29/09/23 - Series Solution of First- and Second-order linear differential equations (Ordinary points)

01/09/23 - Regular singular point and Frobenius Method ( 3 Extra Classes 10:30 AM - 1:00 PM)

02/09/23 - Holiday

End of the first half of the course (Section 30 in the textbook)

Instructor for Section 31 onwards- Dr. Minhajul 

11/09/23 - Midterm Exam