Math Book for E-CAT
Table of Content for: Pakistan Board > E-CAT > 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) . . .
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) . . .
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) . . .
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) . . .
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)
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) . . .
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)
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) . . .
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) . . .
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) . . .
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) . . .
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) . . .
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) . . .
Chapter 14: Solutions of Trigonometric Equations
- 14.1: Introduction (3 videos)
- 14.2: Solution of General Trigonometric Equat (18 videos)
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) . . .
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) . . .
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) . . .
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) . . .
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) . . .
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) . . .
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)
