# Learning Mathematics for IIT JEE

## Saturday, April 9, 2016

### Video Lectures - Sets - Chapter 1

Playlist of 15 videos on Sets Chapter 1

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Examfear Videos

IIT JEE Mathematics Study Plan 1. Sets

http://iit-jee-maths.blogspot.com/2008/11/1-sets.html

### Video Lectures - Sets - Chapter 1 Hindi

44 minutes video lecture

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studyezee

IIT JEE Mathematics Study Plan 1. Sets

http://iit-jee-maths.blogspot.com/2008/11/1-sets.html

Please inform other interesting videos on the topic

### IIT JEE Mathematics Study Plan 1. Sets

R.D. Sharma, Objective Mathematics, Chapter 1

Video Lectures

1.1 Sets

1.2 Description of a set

1.3 Types of sets

1.4 Subsets

1.5 Universal set

1.6 Power set

1.7 Venn diagrams

1.8 Operations on sets

1.9 Laws of algebra of sets

1.10 More results on operations on sets

1.11 Some important results on number of elements in sets

Day 1

1.1 Sets

1.2 Description of a set

1.3 Types of sets

1.4 Subsets

1.5 Universal set

1.6 Power set

1.7 Venn diagrams

Video Lectures - Sets

Day 2

1.8 Operations on sets

1.9 Laws of algebra of sets

Day 3

1.10 More results on operations on sets

Day 4

1.11 Some important results on number of elements in sets

Day 5

Obj. Exercises 1 to 27

Day 6

Fill in the blanks 1 to 5

True/False 1 to 13

Day 7

Practice Exercises 1 to 21

For reviewing the concepts, formulas, and theorems of the chapters visit

Ch. 1. Sets - Concept Review

Updated 10 Apr 2016, 7 May 2015

Video Lectures

1.1 Sets

1.2 Description of a set

1.3 Types of sets

1.4 Subsets

1.5 Universal set

1.6 Power set

1.7 Venn diagrams

1.8 Operations on sets

1.9 Laws of algebra of sets

1.10 More results on operations on sets

1.11 Some important results on number of elements in sets

## Sets Chapter - Study Plan

Day 1

1.1 Sets

1.2 Description of a set

1.3 Types of sets

1.4 Subsets

1.5 Universal set

1.6 Power set

1.7 Venn diagrams

Video Lectures - Sets

Day 2

1.8 Operations on sets

1.9 Laws of algebra of sets

Day 3

1.10 More results on operations on sets

Day 4

1.11 Some important results on number of elements in sets

Day 5

Obj. Exercises 1 to 27

Day 6

Fill in the blanks 1 to 5

True/False 1 to 13

Day 7

Practice Exercises 1 to 21

For reviewing the concepts, formulas, and theorems of the chapters visit

Ch. 1. Sets - Concept Review

Updated 10 Apr 2016, 7 May 2015

## Sunday, January 17, 2016

### Real Functions - Chapter Revision Points

Sections in the Chapter

1.Introduction

2 Description of real functions

3 Intervals (Closed and open)

4 Domains and ranges of real functions

5 Real functions - Examples

6 Operations on real functions

7 Even and odd functions

8 Extension of a function

9 Periodic function

1 Description of real functions

2 Intervals (Closed and open)

3 Domains and ranges of real functions

4 Real functions - Examples

5 Operations on real functions

6 Even and odd functions

7 Extension of a function

8 Periodic function

If the domain and co-domain of a function are subsets of R (set of all real numbers), it is called a real valued function or in short a real function.

Updated 17 Jan 2016, 2 Dec 2008

1.Introduction

2 Description of real functions

3 Intervals (Closed and open)

4 Domains and ranges of real functions

5 Real functions - Examples

6 Operations on real functions

7 Even and odd functions

8 Extension of a function

9 Periodic function

1 Description of real functions

2 Intervals (Closed and open)

3 Domains and ranges of real functions

4 Real functions - Examples

5 Operations on real functions

6 Even and odd functions

7 Extension of a function

8 Periodic function

If the domain and co-domain of a function are subsets of R (set of all real numbers), it is called a real valued function or in short a real function.

Updated 17 Jan 2016, 2 Dec 2008

### 27. Definite Integrals - Revision Facilitator

**Revision Facilitator**

**Try to recollect relevant points on the topic.**

If required right click on the topic and click on open in a new window to read the relevant material.

Close the window and come back.

If required right click on the topic and click on open in a new window to read the relevant material.

Close the window and come back.

1 The definite integral

2 Evaluation of definite integrals

3 Geometric interpretation of definite integral

4 Evaluation of integrals by substitution

5 Properties of definite integrals

6 Integral function

7 Summation of series using definite integral as the limit of a sum

8 Gamma function

### 26. Indefinite Integrals - Revision Facilitator

1. Indefinite Integral - Antiderivative – Primitive

2. Integrals of some standard functions

3. Integration – Some standard formulas

a. ∫kf(x)dx =

b. ∫[f(x)± g(x)]dx =

c. d/dx [∫f(x)dx] =

4. Integration by substitution

5. Integrals of the form [f '(x)/f(x)]dx

6. Integrals of the form sin ^m x cos ^n x dx

7. Integrals of the functional form 1/(x²±a²)

8. Integrals of the form [1/(ax²+bx+c)]dx

9. Integrals of the form [1/√(ax²+bx+c)]dx

10. Integrals of the form [(px+q)/(ax²+bx+c)]dx

11. Integrals of the functional form [P(x)/(ax²+bx+c)]dx

12. Integrals of the form [(px+q)/√(ax²+bx+c)]dx

13. Integrals of the functional form [1/(a sin²x + b cos²x +c)]dx

14. Integrals of the functional form [1/(a sin x + b cos x +c)]dx

15. Integrals of the functional form [(a sin x + b cos x)/(c sin x + d cos x)]dx

16. Integrals of [(a sin x+b cos x +c)/(p sin x + q cos x +r)] dx

17. Integration by parts

18. Integral of e^x [f(x)+f'(x)]dx

19. Integrals of e^ax sinbx dx,e^ax cos bx dx

20. Integrals of √(a²±x²) and √(x²-a²)

21.Integrals of the functions of the form √(ax²+bx+c)dx

22. Integrals of the functions of the form (px+q)[√(ax²+bx+c)]dx

23. Integration of Rational Algebraic Functions by Using Partial Fractions

24. Integration of [(x²+1)/(x^4+λx²+1)]dx

25. Integration of Function [G(x)/(P√Q)]dx

### 24. Increasing and Decreasing Functions - Study Plan

Sections in the Chapter

1 Increasing and Decreasing Functions - Definitions

2 Necessary and sufficient conditions for monotonicity of functions

3 Properties of monotonic functions

Day 1

1 Increasing and Decreasing Functions - Definitions

2 Necessary and sufficient conditions for monotonicity of functions

3 Properties of monotonic functions

Day 2

Illustrative Objective Type Examples: 1 to 15

Day 3

Objective Type Exercise: 1 to 20

Day 4

O.T.E.: 21 to 38

Day 5 Fill in the blanks type exercise 1 to 8

Practice Exercise 1 to 20

Day 6

Concept review

Day 7

Formula review

Day 8

Difficult problem review

Day 9 and 10

Test paper problems

1 Increasing and Decreasing Functions - Definitions

2 Necessary and sufficient conditions for monotonicity of functions

3 Properties of monotonic functions

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1 Increasing and Decreasing Functions - Definitions

2 Necessary and sufficient conditions for monotonicity of functions

3 Properties of monotonic functions

**Study Plan**Day 1

1 Increasing and Decreasing Functions - Definitions

2 Necessary and sufficient conditions for monotonicity of functions

3 Properties of monotonic functions

Day 2

Illustrative Objective Type Examples: 1 to 15

Day 3

Objective Type Exercise: 1 to 20

Day 4

O.T.E.: 21 to 38

Day 5 Fill in the blanks type exercise 1 to 8

Practice Exercise 1 to 20

**Revision period**Day 6

Concept review

Day 7

Formula review

Day 8

Difficult problem review

Day 9 and 10

Test paper problems

**Revision Facilitator****Try to recollect relevant points on the topic.**

If required right click on the topic and click on open in a new window to read the relevant material.

Close the window and come back.If required right click on the topic and click on open in a new window to read the relevant material.

Close the window and come back.

1 Increasing and Decreasing Functions - Definitions

2 Necessary and sufficient conditions for monotonicity of functions

3 Properties of monotonic functions

Like

Facebook Page

https://www.facebook.com/IIT-JEE-Notes-and-Revision-Study-Materials-104724466251565/

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