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Chapter 01
Unit 1: Relations and Functions
Relations and Functions
The Mirror, Twin, and Chain (Types of Relations)
The Archer's Range (Types of Functions)
The Assembly Line (Composite Functions)
Chapter 02
Unit 1: Relations and Functions
Inverse Trigonometric Functions
The Restricted Zone (Principal Value Branches)
The Mirror Properties (Self-Cancelling & Negatives)
The Identity Shifts (Complementary Relations)
Chapter 03
Unit 2: Algebra
Matrices
The Grid System (Order, Types, & Equality)
Matrix Arithmetic (Addition & Dot Products)
The Mirror Transpose (Symmetric & Skew)
Chapter 04
Unit 2: Algebra
Determinants
The Matrix Value (Expansions & Properties)
Areas & Collinearity (Geometry Connections)
Adjoint & The Inverse Path (Flipping the Grid)
Chapter 05
Unit 3: Calculus
Continuity and Differentiability
The Limit Break (Continuity)
The Chain Rule & Inverse Trigs
Implicit Differentiation
Logarithmic & Exponential Forms
Chapter 06
Unit 3: Calculus
Applications of Derivatives
Rate of Change of Quantities
Increasing & Decreasing Functions
Maxima & Minima
Chapter 07
Unit 3: Calculus
Integrals
Integration as Inverse Process
Method of Substitution
Trigo Identity Substitution
Definite Integrals (FTC)
Chapter 08
Unit 3: Calculus
Applications of Integrals
Area under Simple Curves
Area of Circles & Ellipses
Area between Line and Curve
Chapter 09
Unit 3: Calculus
Differential Equations
Order and Degree
General and Particular Solutions
Variable Separable Method
Homogeneous Equations
Chapter 10
Unit 4: Vectors and 3D Geometry
Vector Algebra
Basics of Vectors
Types of Vectors
Vector Operations
Scalar (Dot) Product
Chapter 11
Unit 4: Vectors and 3D Geometry
Three Dimensional Geometry
Direction Cosines & Ratios
Equation of a Line
Angle between Lines
Shortest Distance (Skew Lines)
Chapter 12
Unit 5: Linear Programming
Linear Programming
LPP Terminology
Graphical Method (Bounded)
Graphical Method (Unbounded)
Formulation of LPP