Department of Mathematics, Thapar Institute of Engineering & Technology, Patiala
Autumn 2024
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 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 11:20, Tuesday at 10:30, Wednesday at 11:20 in F108, Tutorial on Friday 03:30 in F108.
Lecture Notes : ch1 ch2 ch3 ch4 ch5
Class Videos (Old) : Uploaded on youtube, see my Channel: ODE_Lecture_Class
Old Videos: ODE_Lecture_Prev.
Examinations: Mid Term Examination (30%), End-Term Examination (40%), Quizzes/Homework (30%)
Announcements:
(September 02, 2024) First Internal Exam (Quiz) will be conducted on September 09, 2023 (Monday) 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.