Mathematical Methods : PMA402
Department of Mathematics, Thapar Institute of Engineering & Technology, Patiala
Spring 2024
The mathematical sciences particularly exhibit order, symmetry, and limitation; and these are the greatest forms of the beautiful.~Aristotle.
Course Description
Mathematical Methods is a one semester, upper-level module that emphasizes the mathematics used to solve the problems of applied mathematics and engineering. The objective of this course is to enable students to apply various integral transforms to solve differential equations. The course also explore the use of calculus of variation and integral equations. The students will become knowledgeable about the methods of applied mathematics. The course will also develop an understanding of the elements of analysis of method used to solve real life problems. The course credit are 3.5 (3 Lectures and 1 Tutorial). The details are given in the Course Syllabus.
Instructor: Dr. Paramjeet Singh.
Lectures Time and Place: Monday at 13:00 and 13:50, Thursday at 11:20, Friday at 09:40 in F 306.
Lecture Notes : ch0 ch1 ch2 ch3 ch4 ch5 ch6
Assignments: Give a try to solve all the exercises at the end of each Chapter.
Homework Submission: Homework 1 Homework_2 Assignment_COV
Policy on Homework Assignments
Academic Honesty
All homework assignments must be completed individually and independently. Cheating and plagiarism are strictly forbidden. An occurrence will result in a grade of zero of the assignment for all concerned parties. You are allowed to use the class notes/textbooks and discuss with classmates when you study your homework. However, you must complete all homework yourself without help from other people, resource or anything that is other people's work (including but not limited to solution manual and online solution websites), otherwise it is considered as a violation of the academic honesty code, and you will be penalized as described above.
Instructions for Online Assignment Submission
Prepare your answers:
Solve problems on scratch paper, clean up your steps and write your answers clearly on white or ruled papers. Answers without steps will not receive credit.
Label the number of each problem.
Sort your answers in the same order as in the announced problem list.
Submission is due by 11 AM on Monday (April 29, 2024).
Link to submit : https://forms.gle/31SQkJ5mwpxUs9L87
Note: Submissions not complying all rules above will not be accepted or graded. In this case, the student receives zero point for the assignment (no resubmission allowed). No exceptions.
Examinations: Mid-Term Examination (30%), End-Term Examination (40%)
Quizzes/Homework/Minor Projects: This component has a weight of 30%.
Announcements:
(April 25, 2024) Second Internal Exam (Quiz) will be conducted on May 02, 2024 (Thursday) at 13:30 PM in E107. Syllabus will be : Chapter 5 : Integral Equations. THERE WILL BE NO MAKE-UP FOR THE TEST.
(March 15, 2024) The students can see the evaluated answer sheets of Mid-Term Examination on March 22, 2024 (Friday) at 3:30 PM in my office G 254. Please see the detailed solution uploaded.
(February 07, 2024) First Internal Exam (Quiz) will be conducted on February 21, 2024 (Wednesday) at 11:20 AM in E107. Syllabus will be : Chapter 1 and 2 : Laplace Transforms and Applications. THERE WILL BE NO MAKE-UP FOR THE TEST.
(February 07, 2024) Extra Classes (Announced Later, if required)
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.