Comprehensive Course on Mathematics Optional - Paper I

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Comprehensive Course on Mathematics Optional - Paper I

Vinita Devi

In this course, Vinita Devi will cover Mathematics Optional, Paper I from Unit 1 to Unit 135. Topics including Eigenvalues, Eigenvectors, Diagonalization of Matrices, and Related Theorems will be discussed in de... Read more
Ended on Jan 30

Oct 10, 2022 - Jan 30, 2023

137 lessons

1 quiz

0 practices

0 questions by educators

Week 1

Oct 10 - 16

5 lessons

Oct

10

Syllabus and Strategy Discussion including PYQs, Trend, and Relevance

Lesson 1  •  Oct 10  •  2h 4m

Oct

12

Subspaces, Bases, and Dimension

Lesson 3  •  Oct 12  •  2h 4m

Oct

13

Doubt Clearing Session

Lesson 4  •  Oct 13  •  1h 57m

Oct

14

Problems and Solution of PYQs

Lesson 5  •  Oct 14  •  2h 10m

Oct

15

Serret-Frenet’s Formulae - Vector Analysis Part XI

Lesson 6  •  Oct 15  •  2h 7m

Week 2

Oct 17 - 23

8 lessons

Oct

17

Linear Dependence & Independence - Part I

Lesson 7  •  Oct 17  •  2h 12m

Oct

18

Linear Dependence & Independence - Part II and Doubt Clearing

Lesson 8  •  Oct 18  •  2h 6m

Oct

19

Solution of System of Linear Equations

Lesson 9  •  Oct 19  •  2h 11m

Oct

20

Algebra of Matrices; Row & Column Reduction, Echelon Form, Congruence, and Similarity

Lesson 10  •  Oct 20  •  1h 57m

Oct

21

Eigenvalues, Eigenvectors, and Characteristic Polynomial

Lesson 11  •  Oct 21  •  1h 59m

Oct

21

Cayley-Hamilton Theorem - Part I

Lesson 12  •  Oct 21  •  47m

Oct

22

Doubt Clearing Session

Lesson 13  •  Oct 22  •  1h 51m

Oct

22

Cayley-Hamilton Theorem - Part II

Lesson 14  •  Oct 22  •  1h 46m

Week 3

Oct 24 - 30

8 lessons

Oct

27

Practice Questions and Doubt Clearing

Class was cancelled by the Educator

Oct

28

Linear Transformations

Lesson 16  •  Oct 28  •  1h 52m

Oct

28

Diagonalization of Matrices and Related Theorems

Lesson 17  •  Oct 28  •  1h 11m

Oct

28

PYQs and Doubt Clearing

Lesson 18  •  Oct 28  •  1h 50m

Oct

29

Matrix of a Linear Transformation

Lesson 19  •  Oct 29  •  2h 3m

Oct

29

Ordinary Differential Equation: Introduction

Lesson 20  •  Oct 29  •  1h 54m

Oct

30

Equations of First Order and First Degree Orthogonal Trajectory

Lesson 21  •  Oct 30  •  1h 53m

Oct

30

Formulation of Differential Equations

Lesson 22  •  Oct 30  •  1h 54m

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