Saturday, April 9, 2016

Video Lectures - Sets - Chapter 1



Playlist of 15 videos on Sets Chapter 1
_______________

_______________
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
________________

________________
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

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


Description of real functions

Intervals (Closed and open)

Domains and ranges of real functions

Real functions - Examples

Operations on real functions

6 Even and odd functions

7 Extension of a function

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.





The definite integral

Evaluation of definite integrals

Geometric interpretation of definite integral

Evaluation of integrals by substitution

Properties of definite integrals

Integral function

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

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

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.



Increasing and Decreasing Functions - Definitions

Necessary and sufficient conditions for monotonicity of functions

Properties of monotonic functions


Like

Facebook Page

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