By Nearpeer
Rs. 2000
This course includes
1. Chapter 1 ( introduction of number system)
2 ch no 1 ( example 2 very important)
3. Example 3
4. Properties of Real Numbers
5. Properties of Equality
6. Properties of Inequality
7. Example 4 (Part A)
8 Example 4 part b
9. Example 5 (Part A)
10. Examples 5 (Part B)
11 Exercise 1.1 Q No.I
12. Exercise 1.1 (Q # 2 to 4)
13. Exercise 1.1 (Q # 6)
14. Complex Numbers
15. Properties of complex number
16 Exercise 1.2 (Q # 1 to 6)
17 EX#1.2 Q#(13 16)
18. Important Theorems of Complex Number(Part 1)
19. important theorems of complex number part 2
20. Polar Form of Complex number and example
21. Ex#1.3 Q 1 to 4
22. Ex# 1.3 Q 5 to 7
1. Introduction of Set theory
2. Methods of Describing a set
3. Types of Sets
4. Types of subset
5. Ex#2.1 Q(1,3)
6. Ex#2.1 Q(4,7)
7. Ex#2.1 Q(8,10)
8. Operation on Sets
9. Ex#2.2 Q(1,3)
10. Ex#2.2 Q(4,6)
11. proof of Demorgan's Law
12. Proof of distributive properties
13. EX# 2.3 Q 1,2 and 3
14. EX 2.3 Q 4,5 and 6
15. EX 2.3 Q 7,8 and 9
16. Inductive and deductive logic Part 1
17. Inductive and deductive logic Part 2
18. Inductive and deductive logic Part 3
19. EX# 2.4
20. EX#2.5 Q No 1
21. EX#2.5 Q No 4
22. Relation
23. Functions and its type
24. EX# 2.6
25. Binary Operations
26. EX # 2.7
27. Ex.2.7 Q no 3
28. GROUPS
01.Intoduction of Matrices
2.Types of Matrices
3.EX #3.1 Q No 1 to 8
4. Ex No 3.1 Q no 10 to 14
5. Ex no 3.2 Q no 1 to 3
6. Ex 3.2 (Q No 6 to 9)
7. Determinants
8. properties of determinants
9. Ex 3.3 Q no 1 to 3
10. Ex 3.3 (Q No 4 to 6)
11 Ex 3.3 Q no 09 11
12 Ex 3.3 Q no 12 16
13. Elementary Row Operations
14. Example of Elementary Row Operation
15. Advanced Types of Matrices (part 1)
16. Advanced Types of Matrices (part 2)
17. Ex# 3.5 (Q no 1)
18. Ex # 3.5 (Q no 5)
19. Ex#3.5 (Q no 4)
01. Introduction of Quadratic equation
2. Proof of Quadratic formula
3. Ex 4.1 Q no 19 and 20
4. Ex 4.2 Q no 1 to 5
5. Ex # 4.2 Q no 6 to 11
6. Ex# 4.2 Q no 12 to 17
7. Ex # 4.2 Q no 18 to 20
8. Ex # 4.2 Q no 21 to 24
9. Ex# 4.3 Q no 1
10. Ex no 4.3 q no 3
11. Ex 4.3 Q no 6
12. Ex no 4.3 Q no 7
13. Proof of Cube roots of Unity
14. Fourth roots of unity
15. Ex# 4.4 Q no 1 to 5
16. EX # 4.4 Q 6 to 8
17. EX 4.4 Q no 1 to 4
18. EX # 4.5 Q no 12 and 15
19. Relation between roots and Coefficient
20.Formation of Quadratic Equation
21. Ex # 4.6 Q 1 and 2
22. Ex no 4.6 no 6
23. Ex no 4.6 Q no 9
24. Nature of Roots
25. Ex# 4.7 Q no 1 to 3
26. Ex # 4.7 Q no 5 to 8
27. Ex # 4.8 Case 1 and 2
28. Ex No 4.9 Case 3 (Q 1 to 4)
29. Ex #4.9 Case 4 (Q 5 to 9)
30. EX # 4.9 Case 5 (Q no 10)
31. EX # 4.10 Q 1 to 11
01. Introduction of Partial Fraction
02. Ex 5.1 Linear Non Repeated Case
03. Ex 5.2 Linear Repeated Case
04. Ex 5.3 Quadratic Non Repeated Case 01
05. Ex 5.3 Quadratic Non Repeated Case 02
06. Ex 5.4 Quadratic Repeated Case
1. Ex No 6.1
2. Ex no 6.2 Q no 1 to 5 ( Need to check the voice)
3. Ex No 6.2 Q no 6 to 10
4. Ex No 6.2 Q no 11 to 14
5. Ex No 6.3 Q no 1 to 3
6. Ex no 6.3 Q no 7 and 8
7. Ex#6.4 Derivation of Formula
8.Ex#6.4 Q 1 to 4
9. Ex#6.4 Q no 7 to 9
10. Ex 6.4 Q 11 t0 17
11. Ex#6.5 Q.1
12. Ex#6.5 Q no .6
13. Ex#6.5 Q 9 to 10
14. Ex 6.6 Q no 1 to 5
15. Ex no 6.6 Q no 6 to 10
16. Ex 6.6 Q no 11 and 12
17. Ex 6.6 Q no 14
18. Ex No 6.7 Q no 1 to 3
19. Ex No 6.7 Q no 5 to 8
20. Ex 6.8 Q no 1 and 2
21. Ex No 6.8 Q no 3 to 6
22. Ex No 6.8 Q no 7 to 11
23. Ex no 6.8 Q no 12 to 14
24. Ex no 6.9 Q no 1 and 2
25. EX #6.9 Q 3 to 4
26 Ex #6.9 Q 5 cut at 5.38
27 . Ex no 6.10 Q no 1 to 4
28. Ex no 6.10 Q no 5 to 12
29. Ex No 6.10 Q no 14 to 18
30. Ex NO 6.11
1. Ex No 7.1
2. Ex No 7.2 Q no 1 to 3
3. Ex no 7.2 Q no 5 to 8
4. Ex no 7.2 Q no 10 to 14
5. Ex No 7.3 Q no 1 to 4
6. EX # 7.3 Q no 5 Final
7. Ex # 7.3 Q no 6 to 8
8. Ex # 7.3 Q no 9 to 12
9. Ex # 7.4 Q no 1 to 4
10. Ex # 7.4 Q No 5 to 7
11. Ex # 7.4 Q no 8 to 10
12. Ex # 7.5 q no 1 to 4
13. EX # 7.5 Q no 5 to 7
14. Ex # 7.5 Q no 8 to 10
15. Ex # 7.7 Q no 1 to 3
16. Ex # 7.7 Q no 4 to 6
17. Ex # 7.7 Q no 8
18. EX # 7.8 Q no 1 to 3
19. Ex # 7.8 Q no 5 to 7
20. Ex # 7.8 Q no 9 and 10
1. Ex no 8.1 qno 1 to 4
02. Ex no 8.1 Q no 5 to 9
03. Ex No 8.1 Q no 10 to 13
04. Ex No 8.1 Q no 14 to 15
05. Ex No 8.1 Q no 16 to 20
06. Ex No 8.1 Q no 21 to 26
07. Ex no 8.1 Q no 27
08. Ex No 8.1 Q no 29 to 32
9. Ex No 8.1 Q no 35
10. Ex No 8.1 Q no 38
11. Proof of binominal theorem
12. Ex 8.2 Q 1 to 5
13. Ex 8.2 Q 6 to10
14. Ex 8.2 12 to14
15. Ex No 8.3 Q no 1 to 2
16. Ex no 8.3 Q no 3 and 4
17. Ex no 8.3 Q no 6 to 8
18. Ex no 8.3 Q no 9 to 13
Trig 01 Introduction to trigonometry
2. Angle degree & Radians
3. Conversion from Degree to Radian & Radian to Degree
5. Ex 9.1 (Q 9,10 and 11)
6. Ex 9.1 Q 12, 13 and 14 (2)
7. Ex 9.1 Q 15, 16 and 17
8. Trigonometric Functions
9. Signs of Trigonometric Functions
10. proof of Trignometric Identities
11. Ex 9.2 Q 1 ,2 and 3
12. Ex 9.2 Q 4 and 5
13. Ex 9.2 Q No 6 and 8
14. Trig Values of trigonometric functions of 30,45and 60 degrees
15. Ex 9.3 Q 1 ,2 and 3
16. Ex 9.3 Q 4,5 and 6
17. Ex 9.4 (Q 1 to 4)
18. Ex 9.4 ( Q 5 to 8)
Trig 04. Ex 9.4 ( Q 9 to 12)
19. Ex 9.4 ( Q 13, 14, 15 and 16)
21. Ex 9.4 ( 17 to 20)
22. (Ex 9.4 ( Q 24) final
1. Proof Of Distance Formula
2. Fundamental Law Of Trignometry
3. Properties of Trigonometry Identities
4. Proof Of Trignometry Identities
5 Proof of Trigonometric identies part 2
6 Exercise 10.1 Q no 1 &2
7. Ex No 10.1 Q no 3 to 5
8. Ex No 10.2 Q no 1 to 5
9. Ex no 10.2 Q no 6 to 9
10. Ex no 10.2 Q no 10 and 11
11. Ex No 10.2 Q no 12 to 14
12. Proof Of Double Angles identities
13. Proof Of Half Angles Identities
14. Proof of triple Angle Identities
15. Ex No 10.3 Q no 1 to 5
16. Ex No 10.3 Q No 6 to 10
17. Ex No 10.3 Q no 11 1to 14
18. Proof Of Sum to Product Formulas
19. Ex10.4 Q 1to 3
20. Ex10.4 Q 4, 5
1. Proof Of Period of Trignometric Functioncs
2. Ex no 11.1 Q no 1 to 15
3. Ex no 11.2 Graph of Sine and Cosine Functions
4. Ex No 11.2 Graph of Tangent and Cotangent Functions
5. Ex no 11.2 Graph of Secant and Cosecant
01. Ex No 12.2
02. Ex No 12.3 Q no 1 to 6
03. Ex No 12.3 Q no 7 to 10
04. Ex No 12.3 Q No 11
05. Ex No 12.3 Q No 13 to 15
06.Proof of Law of Cosines
07. Proof of Law of Sines
8.Proof Law of Tangents
09 Proof of Sine of Half angles
10. Proof of cosine of Half angles
11. Proof of Tangent of Half angles
12. Exercise 12.4
13. Ex No 12.5 Q no 1 to 5
14. Ex no 12.5 Q no 6 to 10
15. Ex No 12.6 Q no 1 to 6
16. Ex No 12.6 Q no 8 to 10
17. Proof of Area of Triangle (Case 1)
18. Proof of Area of Triangle (Case 2)
19. Proof of Area of Triangle (Case 3)
20. Ex 12.7
21. Defination and Proof of Circum Radius
22. Prove of cirum Radius 2
23 Proof of escribed Radius
24. Proof Of ex radius
25. Ex No 12.8 Q no 1 to 5
26. Ex No 12.8 Q no 7 to 9
27. Ex No 12.8 Q no 10 to 12
1. Ex No 13.1 Q no 1
2. Ex No 13.2 Q no 2
3. Ex No 13.2 Q no 2
4. Ex No 13.2( formulas for 13.2)
5. Ex No 13.2 (Formulas)
6. Ex 13.2 Q no 1
7. Ex No 13.2 Q no 3 to 6
8. Ex No 13.2 Q no 9 to 15
9. Ex No 13.2 Q no 19 and 20
1. Ex # 14 Q no 1 to 3
2. Ex # 14 Q NO 9 to 12
3. Ex # 14 Q no 18 to 20
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