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Index
Unit 1: Analysis
Unit 2: Complex Analysis
Unit 3: Algebra
Unit 4: Ordinary Differential Equations (ODEs)
Unit 5: Partial Differential Equations (PDEs)
Unit 6: Numerical Analysis
Unit 7: Calculus of Variations
Unit 8: Linear Integral Equations
Unit 9: Classical Mechanics
Unit 10: Descriptive Statistics, Exploratory Data Analysis

All videos of CSIR NET Crash Course for Mathematics for CSIR NET Mathematics Exam

Unit 1: Analysis

Elementary Set Theory

59:35 min

Finite, Countable, and Uncountable Sets

06:19 min

Archimedean Property

13:11 min

Supremum

42:49 min

Infimum

42:49 min

Sequence and Series

00:59 min

Convergence

61:30 min

Limsup

11:29 min

Liminf

11:00 min

Bolzano Weierstrass Theorem

30:03 min

Heine Borel Theorem

09:25 min

Continuity

61:30 min

Differentiability

58:00 min

Uniform Convergence

61:30 min

Riemann Sums and Riemann Integral

32:13 min

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Unit 3: Algebra

Permutations

56:48 min

Pigeon-hole Principle

34:48 min

Inclusion-exclusion Principle

22:37 min

Derangements

09:06 min

Fundamental Theorem of Arithmetic

17:28 min

Divisibility in Z

21:35 min

Congruences

05:17 min

Chinese Remainder Theorem

73:17 min

Euler's -function

01:00 min

Primitive Roots

09:17 min

Groups

09:54 min

Subgroups

59:02 min

Normal Subgroups

23:43 min

Quotient Groups

24:58 min

Cyclic Groups

37:00 min

Permutation Groups

56:48 min

Cayley's Theorem

32:10 min

Class Equations

67:08 min

Sylow Theorems

71:46 min

Unique Factorization Domain

34:55 min

Principal Ideal Domain

28:05 min

Euclidean Domain

17:11 min

Basis

09:54 min

Dense Sets

12:30 min

Subspace and Product Topology

39:15 min

Separation Axioms

64:25 min

Connectedness

10:43 min

Prime and Maximal Ideals

07:20 min

151 videos
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Unit 10: Descriptive Statistics, Exploratory Data Analysis

Markov Chains With Finite and Countable State Space

23:41 min

Classification of States

55:46 min

Limiting Behavior of N-step Transition Probabilities

20:41 min

Stationary Distribution

18:18 min

Distribution of Order Statistics

13:51 min

Confidence Intervals

14:47 min

Tests of Hypotheses: Most Powerful and Uniformly Most Powerful Tests

06:57 min

Likelihood Ratio Tests

08:19 min

Analysis of Discrete Data and Chi-square Test of Goodness of Fit

05:23 min

Simple Nonparametric Tests for One and Two Sample Problems

05:19 min

Simple Random Sampling

13:19 min

Stratified Sampling

04:51 min

Systematic Sampling

03:47 min

Probability is Proportional to Size Sampling

25:32 min

Ratio and Regression Methods

54:50 min

Hazard Function and Failure Rates

65:41 min

Series and Parallel System

20:03 min

Standard Discrete and Continuous Univariate Distributions

43:06 min

Distribution of Order Statistics

13:51 min

Estimation of Population Mean and Population Variance

13:12 min

Degrees of Freedom

07:34 min

The Sampling Distribution

06:25 min

Central Limit Theorem

09:37 min

Shape of the Sampling Distribution

09:36 min

Calculating the Standard Error of the Mean

05:58 min

The Estimated Standard Error of the Mean

08:56 min

Introduction to JASP

07:19 min

What Is a Standard Error?

02:17 min

Top Courses CSIR NET Mathematics

Video lectures for CSIR NET Crash Course for Mathematics 2025 is part of CSIR NET Mathematics exam preparation. The videos have been prepared according to the CSIR NET Mathematics exam syllabus. The Video lectures, notes, tests & MCQs are made for CSIR NET Mathematics 2025 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests here.

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