Theory on row echelon form, finding rank from row echelon form, fundamental theorem for linear systems.

Theory on systems of linear equations, Solution by Gauss elimination.

Questions on systems of linear equations.

Questions on system of linear equations (contd.).

Theory on eigenvalues and eigenvectors.

Questions on eigenvalues and eigenvectors.

Questions on eigenvalues and eigenvectors.

Diagonalization of matrices, orthogonal transformation.

Quadratic forms and their canonical forms.

Theory on principal axes, Theory on properties of eigen values.

MAT101 (Notes) - Module 1

70 pages

Theory on Multivariable calculus - Differentiation; 8 problems on Theory on Multivariable calculus - Differentiation

Theory on partial derivatives; 2 problems on partial derivatives

Theory on Chain rule, total derivative; 3 problems on Chain rule, total derivative

2 problems on Chain rule, total derivative

Differentials, Local Linear approximations; Problems on Differentials, Local Linear approximations

Theory on maxima and minima; 3 problems on maxima and minima

2 problems on maxima and minima; Theory on limit and continuity of functions of two variables ; 1 problem on limit and continuity of functions of two variables

MAT101 (Notes) - Module 2

39 pages

Multivariable Calculus - Integration

Method of finding limits and problems on the method of finding limits (Part 1)

Problems on the method of finding limits (Part 2)

Finding areas and volumes of plane laminas

Change of order of integration in double integrals

Change of coordinates (Cartesian to polar)

Finding mass and center of gravity of plane laminas

Triple integrals

Finding limits in triple integrals

Finding areas and volumes of plane laminas

Cylindrical and Spherical coordinates

MAT101 (Notes) - Module 3

24 pages

Introduction to sequences and series, geometric and p-series (Theory and Problems)

Comparison test (Theory and Problems)

UPDATED - Ratio test and Root test (Theory and Problems)

Alternative series test (Theory and Problems)

UPDATED - Ratio test for absolute convergence and Additional questions

MAT101 (Notes) - Module 4

12 pages

Taylor Series (Theory and Problems)

Fourier series (Theory and Problems)

Half range sine and cosine series (Theory and Problems)

Fourier series (Problems - Part I)

Fourier series (Problems - Part II)

Half range sine and cosine series (Problems)

Binomial Theorem; Radius of Convergence and Interval of Convergence: (Theory and Problems)

Parseval's Theorem or Parseval's Identity (Theory and Problems)

Assignment 5 - MAT101

2 pages

MAT101 - December 2019 - Solved

30 pages

MAT101 - December 2020_A - Solved

26 pages

MAT101 - December 2020_B - Solved

24 pages

MAT101 - December 2021 - Solved

21 pages