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This course is a basic course offered to UG and PG students of Engineering/Science background. It contains matrices computations involving rank, eigen values, eigen vectors, singularity transformations, (diagonalisation, Joradan canonical etc). It also convers vectors spaces, basis and dimension, linear transformation and their properties. Besides discussing the matrix theory,  it also includes its applications  in solving diverse science and engineering problems.
 

Week

Topics

1.

Limits, continuity and partial derivatives of multivariable functions

2.

 Differentiability and chain rule

3.

Change of variables, Euler’s theorem, tangent planes, normal lines and extreme values

4.

Taylor’s theorem, error approximation, polar curves and multiple integrals

5.

Change of order and change of variables in multiple integral

6.

Beta and gamma functions

7.

Normal vector and potential field

8.

vector identities and line integral

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