Chapter 1: Numbers System

1.1: Introduction (2 videos)
1.2: Rational Numbers and Irrational Numbers (7 videos)
1.3: Properties of Real Numbers (50 videos)
1.4: Complex Numbers (54 videos)
1.5: The Real Line (8 videos)

. . .

Total Sections: 7
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Total Videos: 143

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Chapter 2: Sets, Functions and Groups

2.1: Introduction (30 videos)
2.2: Operations on Sets (13 videos)
2.3: Venn Diagrams (32 videos)
2.4: Operations on Three Sets (21 videos)
2.5: Properties of Union and Intrersection (60 videos)

. . .

Total Sections: 15
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Total Videos: 266

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Chapter 3: Matrices and Determinants

3.1: Introduction (49 videos)
3.2: Determinant of a 2x2 Matrix (15 videos)
3.3: Solution of Simultaneous Linear Equatio (2 videos)
3.4: Field (2 videos)
3.5: Properties of Matrix Addition, Scalar M (20 videos)

. . .

Total Sections: 12
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Total Videos: 157

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Chapter 4: Quadratic Equations

4.1: Introduction (15 videos)
4.2: Solutions of Equations Reduceible to th (31 videos)
4.3: Three Cube Roots of Unity (7 videos)
4.4: Four Fourth Roots of Unity (4 videos)
4.5: Polynomial Functions (6 videos)

. . .

Total Sections: 12
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Total Videos: 105

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Chapter 5: Partial Fractions

5.1: Introduction (6 videos)
5.2: Rational Fraction (2 videos)
5.3: Resolution of a Rational Fraction P(x)/ (12 videos)

Total Sections: 3
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Total Videos: 20

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Chapter 6: Sequences and Series

6.1: Introduction (4 videos)
6.2: Types of Sequences (2 videos)
6.3: Arithmetic Progression (A.P) (2 videos)
6.4: Arithmetic Mean (A.M) (3 videos)
6.5: Series (9 videos)

. . .

Total Sections: 15
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Total Videos: 97

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Chapter 7: Permutation, Combination and Probability

7.1: Introduction (3 videos)
7.2: Permutation (6 videos)
7.3: Combinations (6 videos)
7.4: Probability (30 videos)

Total Sections: 4
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Total Videos: 45

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Chapter 8: Mathematical Inductions and Binomial The

8.1: Introduction (2 videos)
8.2: Principle of Mathematical Induction (5 videos)
8.3: Principle of Extended Mathematical Indu (3 videos)
8.4: Binomial Theorem (23 videos)
8.5: The Binomial Theorem When the Index n i (4 videos)

. . .

Total Sections: 6
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Total Videos: 41

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Chapter 9: Fundamentals of Trigonometry

9.1: Introduction (2 videos)
9.2: Units of Measures of Angles (8 videos)
9.3: Relation Between an Arc Length & Circul (9 videos)
9.4: General Angle ( Coterminal Angles ) (2 videos)
9.5: Angle in the Standard Position (4 videos)

. . .

Total Sections: 12
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Total Videos: 55

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Chapter 10: Trigonometric Identities Sum and Differe

10.1: Introduction (10 videos)
10.2: Deductions From Fundamental Law (6 videos)
10.3: Trigonometric Ratios and Allied Angles (8 videos)
10.4: Further Application of Basic Identities (4 videos)
10.5: Double angle Identities (2 videos)

. . .

Total Sections: 8
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Total Videos: 43

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Chapter 11: Trigonometric Functions and Their Graphs

11.1: Introduction (16 videos)
11.2: Period of Trigonometric Functions (2 videos)
11.3: Values of Trigonometric Functions (2 videos)
11.4: Graphs of Trigonometric Functions (2 videos)
11.5: Graph of y = Sin x From - 360 to 360 De (1 videos)

. . .

Total Sections: 10
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Total Videos: 39

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Chapter 12: Application of Trigonometry

12.1: Introduction (2 videos)
12.2: Tables of Trigonometric Ratios (5 videos)
12.3: Solution of Right Triangles (17 videos)
12.4: (a)-Heights and Distances (4 videos)
12.5: Engineering and Heights and Distances (4 videos)

. . .

Total Sections: 10
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Total Videos: 71

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Chapter 13: Inverse Trigonometric Functions

13.1: Introduction (3 videos)
13.2: The Inverse Sine Function (4 videos)
13.3: The Inverse Cosine Function (3 videos)
13.4: The Inverse Tangent Function (3 videos)
13.5: Inverse Cotangent, Secant and Cosecant (5 videos)

. . .

Total Sections: 7
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Total Videos: 32

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Chapter 14: Solutions of Trigonometric Equations

14.1: Introduction (3 videos)
14.2: Solution of General Trigonometric Equat (18 videos)

Total Sections: 2
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Total Videos: 21

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Chapter 15: Functions and Limits

15.1: Introduction (7 videos)
15.2: Types of Functions (14 videos)
15.3: Composition of Function and Inverse of (7 videos)
15.4: Limit of a Function and Theorems on Lim (4 videos)
15.5: Limits of Important Functions (6 videos)

. . .

Total Sections: 7
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Total Videos: 58

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Chapter 16: Differentiation

16.1: Introduction (7 videos)
16.2: Finding f'(x) from Definition of Deriva (4 videos)
16.3: Theorems on Definition (12 videos)
16.4: The Chain Rule (4 videos)
16.5: Derivative of Inverse Functions (1 videos)

. . .

Total Sections: 21
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Total Videos: 85

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Chapter 17: Integration

17.1: Introduction (5 videos)
17.2: Integration as Anti-Derivative (19 videos)
17.3: Integration By Method of Substitution (1 videos)
17.4: Some Useful Substitutions (8 videos)
17.5: Integration By Parts (7 videos)

. . .

Total Sections: 9
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Total Videos: 91

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Chapter 18: Introduction to Analytic Geometry

18.1: Introduction (8 videos)
18.2: Translation and Rotation of Axes (6 videos)
18.3: Equations of Straight Lines (40 videos)
18.4: Two and Three Straight Lines (21 videos)
18.5: Angles Between Two Lines (7 videos)

. . .

Total Sections: 6
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Total Videos: 92

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Chapter 19: Linear Inequalities and Linear Programmi

19.1: Introduction (1 videos)
19.2: Linear Inequalities (6 videos)
19.3: Region Bounded By 2 or 3 Simultaneous I (3 videos)
19.4: Problem Constraints (2 videos)
19.5: Feasible Solution Set (4 videos)

. . .

Total Sections: 7
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Total Videos: 29

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Chapter 20: Conic Section

20.1: Introduction (12 videos)
20.2: Tangents and Normals (11 videos)
20.3: Analytical Proofs of Important Properti (15 videos)
20.4: Parabola (20 videos)
20.5: Ellipse and Its Elements (21 videos)

. . .

Total Sections: 9
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Total Videos: 158

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Chapter 21: Vectors

21.1: Introduction (38 videos)
21.2: Introduction of Vector in Space (17 videos)
21.3: The Scalar Product of Two Vectors (20 videos)
21.4: Cross Product or Vector Product of Two (29 videos)
21.5: Scalar Triple Product of Vectors (12 videos)

Total Sections: 5
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Total Videos: 116

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Math Book for E-CAT

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