Chapter 2: Comparison Test

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Chapter 1: Sequence and Series 

Chapter 2 Comparison Test

Example1: Check for the convergence/divergence of the following:

 

 

Table of content

Table of Content 

Formulas: Differentiation 

Integration: Type 1 

Integration: Type 2

Calculus of Several Variables 

1	Functions of two variables
2	Limits of function of two variables
3	Continuity of function of two variables
4	Partial Differentiation Part 1
5	Partial Differentiation Part 2
6	Partial Differentiation Part 3
7	Total derivatives
8	Total derivatives
9	Maxima and minima
.          10	Lagrange multipliers method

       Assignment - 1

       11. Double Integration 

       12. Double Integration: Polar form

       13. Double Integration: By Change of Variable

       14. Double Integration: By Change of Order

       15. Application of Double Integration 

       16. Application of Double Integration: Area 

       17. Application of Double Integration: Volume

       18. Application of Double Integration: Mass, Center of Mass

       19. Application of Double Integration: Moment of Inertia 

        21. Triple Integration 

       22. Triple Integration: Polar form

       33. Triple Integration: By Change of Variable

       24.Triple Integration: By Change of Order

       25. Application of Triple Integration 

       26. Application of Triple Integration: Volume

       27. Application of Triple Integration: Mass, Center of Mass

       38. Application of Double Integration: Moment of Inertia 

       39. Application of Double Integration:  

Computational and Statistical Optimization 

L1: Big Data Matrix

L2: Approximate Matrix Multiplication  

L3: Random Sampling 

L4: Randomized Algorithms 

L8: LDLT Factorization 

Cholesky Decomposition 

L10: Block Elimination Method 

Linear Algebra 

Chapter 1: Matrix

Chapter 2: Row Echelon Form

Chapter 3: Reduced Row Echelon Form

Chapter 4: Rank of a Matrix

Chapter 5: Solution of System of Equations

Chapter 6: Eigenvalues and Eigenvectors

Other chapters will be updated soon.

Mathematics for Biotechnology and Data Science 

Chapter 1: Set Theory 

Chapter 2: Operation of Sets 

Chapter 3: Application of Set Theory 

Chapter 4: Venn Diagram  

Chapter 5: Relation  

Chapter 6: MAPPING OR FUNCTIONS 

Chapter 8: Inverse of a Function 

Test 1: Set Theory  

Test 2: Set, Relation and Function 

Calculus 

Chapter 1: Limit of Function 

Chapter 4: Successive Differentiation 

Ordinary Differential Equation

Chapter 1: First Order Differential Equations using Separation of Variables

Chapter 2: Application of ODE

Chapter 3: Solution of Homogeneous Differential Equations 

 

Probability and Statistics

Chapter 1: #Probability 

Chapter 2: #Conditional Probability  

Chapter 3: #Baye's theorem 

Some Questions of Probability