Ordinary Differential Equations : PMA109
School of Mathematics, Thapar Institute of Engineering & Technology, Patiala
Autumn 2023
The mathematical sciences particularly exhibit order, symmetry, and limitation; and these are the greatest forms of the beautiful.~Aristotle.
Course Description
Ordinary Differential Equations (ODEs) is a one semester, upper-level module that emphasizes the mathematics used to study the ordinary differential equations and these equations are studied from several different perspectives, mostly concerned with their solutions-the set of functions that satisfy the equation, and to analyse their properties. The students will become knowledgeable about system of ODEs. The course will also develop an understanding of the elements of analysis of ODEs. The course credit are 3.5 (3 Lectures and 1 Tutorial). The details are given in the Course Policies.
Instructor: Dr. Paramjeet Singh.
Lectures Time and Place: Monday at 09:40 (F312), Tuesday at 12:10 (F208), Wednesday at 11:20 (T106).
Lecture Notes : ch1_ode ch2_ode ch3_ode ch4_ode ch5_ode
Class Videos : Uploaded on youtube, see my Channel: ODE_Lecture_Class
Old Videos: ODE_Lecture_Prev.
Solutions: 1_sol_ode 2_sol_ode 3_sol_ode 4_sol_ode
Examinations: Mid Term Examination (35%), End-Term Examination (35%), Quizzes (30%)
Announcements:
(December 14, 2023) The students can see the evaluated answer sheets on 17-12-2023 in my office G254 at 1 PM. Please see the detailed solution uploaded.
(November 13, 2023) 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.
(September 11, 2023) First Internal Exam (Quiz) will be conducted on September 19, 2023 (Tuesday) 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.
Exams from previous years are available for practice: MSE2022 ESE_2022 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.