Department of Mathematics, Thapar Institute of Engineering & Technology, Patiala
Autumn 2025
The mathematical sciences particularly exhibit order, symmetry, and limitation; and these are the greatest forms of the beautiful.~Aristotle.
Ordinary Differential Equations (ODEs) is a one-semester, upper-level module designed to introduce students to the mathematical theory, analysis and applications of ordinary differential equations. The course explores these equations from several perspectives, with particular emphasis on their solutions and the analysis of their qualitative and quantitative properties. Students will also study systems of ODEs and develop a solid foundation in the fundamental techniques used to analyze them.
This module carries 3.5 credits and consists of 3 lectures and 1 tutorial per week. Detailed information about the structure, learning outcomes, and requirements is provided in the Course Syllabus and the Course Policies.
Instructor: Dr. Paramjeet Singh.
Lectures Time and Place: Tuesday at 10:30, Thursday at 12:10, Friday at 11:20 in F306, Tutorial on Tuesday at 11:20 in F306.
Lecture Notes : ch1 ch2 ch3 ch4 ch5
Solutions: 1_sol 2_sol 3_sol
Class Videos (Old) : Uploaded on youtube, see my Channel: ODE_Lecture_Class
Some Old Videos: ODE_Lecture_Prev
Examinations: Mid Term Examination (30%), End-Term Examination (40%), Quizzes/Homework (30%)
Announcements:
(August 19, 2025) First Internal Exam (Quiz) will be conducted on August 29, 2025 (Friday) from 03:30 PM. Syllabus will be : Chapter 1 : Initial value problems for first order ODEs. THERE WILL BE NO MAKE-UP FOR THE TEST.
(September 02, 2024) Second Internal Exam (Quiz) will be conducted on November 20, 2021 (Monday) from 3:30 PM in E 106. Syllabus will be : Chapter 3 : Sturm-Liouville Boundary Value Problems. THERE WILL BE NO MAKE-UP FOR THE TEST.
(October 10, 2023) The students can see the evaluated answer sheets on October 13, 2023 (Friday) in my office G254 at 4 PM. Please see the detailed solution uploaded.
Exams from previous years are available for practice: MSE_2023 ESE_2023 Practice_Quiz
Assignments: Students are advised to study regularly and expected to solve the the assignments given at the end of the lecture notes.
An Advise to develop good study habits can be found here.
You should check this page daily and begin working the assignments immediately after they are posted.
You are expected to do all assigned problems. You may need to do additional problems for practice.
You are expected to read the textbook as we cover the material.
Meetings: Students can meet me in my office in G 254. Please make appointments at singh.pparam@gmail.com and see my schedule on the URL of another course which I am teaching in the current semester.