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Overview to Linear Algebra and Calculus | MAT101 | Ed-Gaadi
MODULE 1
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
Assignment 1 - MAT101
MODULE 2
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
Assignment 2 - MAT101
MODULE 3
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
Assignment 3 - MAT101
MODULE 4
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
Assignment 4 - MAT101
MODULE 5
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
MAT101 (Notes) - Module 5
Solved Previous Year Questions
MAT101 - December 2019 - Solved
MAT101 - December 2020_A - Solved
MAT101 - December 2020_B - Solved
MAT101 - December 2021 - Solved
MAT101 - Model QP - Solved
Live Sessions - Recorded
MAT101 - 14.12.2022
MAT101 - 16.12.2022
MAT101 - 23.12.2022
MAT101 - 30.12.2022
MAT101 - 06.01.2023