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Math Book for ECAT

Pakistan Board > ECAT > Math (Total Videos: 1775)
Chapter 1: Numbers System
1.1: Introduction (2 videos)
1.2: Rational Numbers and Irrational Numbers (7 videos)
1.3: Properties of Real Numbers (52 videos)
1.4: Complex Numbers (56 videos)
1.5: The Real Line (8 videos)
. . .
Total Sections: 7 | Total Videos: 147View More
 
Chapter 2: Sets, Functions and Groups
2.1: Introduction (31 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 | Total Videos: 267View More
 
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 | Total Videos: 158View More
 
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 | Total Videos: 105View More
 
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 | Total Videos: 20View More
 
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 | Total Videos: 97View More
 
Chapter 7: Permutation, Combination and Probab
7.1: Introduction (3 videos)
7.2: Permutation (6 videos)
7.3: Combinations (6 videos)
7.4: Probability (30 videos)
 
 
Total Sections: 4 | Total Videos: 45View More
 
Chapter 8: Mathematical Inductions and Binomia
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 | Total Videos: 41View More
 
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 | Total Videos: 55View More
 
Chapter 10: Trigonometric Identities Sum and Di
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 | Total Videos: 43View More
 
Chapter 11: Trigonometric Functions and Their G
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 (3 videos)
. . .
Total Sections: 10 | Total Videos: 44View More
 
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 | Total Videos: 71View More
 
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 | Total Videos: 32View More
 
Chapter 14: Solutions of Trigonometric Equations
14.1: Introduction (3 videos)
14.2: Solution of General Trigonometric Equat (18 videos)
 
 
 
 
Total Sections: 2 | Total Videos: 21View More
 
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 | Total Videos: 58View More
 
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 | Total Videos: 85View More
 
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 | Total Videos: 91View More
 
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 | Total Videos: 92View More
 
Chapter 19: Linear Inequalities and Linear Prog
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 | Total Videos: 29View More
 
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 | Total Videos: 158View More
 
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 | Total Videos: 116View More
 

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