The course introduces students with basic concepts of matrices, vector differential calculus, integral calculus and partial differential equations.

**Prerequisite **

**Learning Outcomes**

At the end of this course the student will be able to:

- understand the concept of matrices and determinants
- solve system of linear equations
- learn the concept an use of partial differential equations and their applications
- know about vector differential calculus.

**Contents**

- Matrices, addition, subtraction, multiplication and determinants.
- Linear system of equations and their solutions. Crammer's rule.
- Guass elimination method, row reduced echelon form, Guass-Jordan method
- rank of the matrices, inverse of matrices.
- Vector differential calculus: Gradient, divergence, curl and the concepts of vector integral calculus
- Basic concept of partial differential equations, Fourier series, Wave equation, Heat equation, Laplace's equation, Poisson equation and their solution by using Fourier series and Laplace transform.

**Textbook(s)**

- C. R. Wylie. Advance engineering mathematics 6th edition, McGraw-Hill Education.
- Erwin Kreyszig. Advance engineering mathematics 10th edition, John Wiley and Sons.

**ASSESSMENT CRITERIA**

Sessional: 20 (Presentation / Assignment 10, Attendance 05, Quiz 05)

Mid-Term Exam: 30

Final-Term Exam: 50

*Key Dates and Time of Class Meeting*

Friday 1:30pm-4:00pm

Commencement of Classes October 12, 2020

Mid Term Examination December 14-18, 2020

Final Term Examination February 08-12, 2021

Declaration of Result February 19, 2021