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:

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:

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.

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.