Ch 1
Relations and Functions
1
Introduction and Basic Concepts
✓ Completed
2
Types of Relations
✓ Completed
3
Types of Functions
✓ Completed
4
Composition and Invertibility
✓ Completed
5
Advanced Concepts and Exercises
✓ Completed
Ch 2
Inverse Trigonometric Functions
1
Inverse Trigonometric Functions
✓ Completed
2
Inverse Sin and Inverse Cosine Functions
✓ Completed
3
Properties of Inverse Trigonometric Functions
✓ Completed
4
Applications and Identities of Inverse Trigonometric Functions
✓ Completed
5
Advanced Applications of Inverse Trigonometric Functions
✓ Completed
Ch 3
Matrices
1
Introduction to Matrices
✓ Completed
2
Matrix Fundamentals
✓ Completed
3
Types of Matrices
✓ Completed
4
Equality of Matrices
✓ Completed
5
Operations on Matrices
✓ Completed
Ch 4
Determinants
1
Queue Fundamentals
✓ Completed
2
Queue Operations
✓ Completed
3
Queue Implementation (Python)
✓ Completed
4
Deque Concepts
✓ Completed
5
Deque Implementation (Python)
✓ Completed
Ch 5
Continuity and Differentiability
1
Continuity Fundamentals
✓ Completed
2
Continuity Analysis & Functions
✓ Completed
3
Algebra of Continuous Functions
✓ Completed
4
Differentiability Concepts
✓ Completed
5
Advanced Differentiation
✓ Completed
Ch 6
Application of Derivatives
1
Rate of Change Applications
✓ Completed
2
Increasing and Decreasing Functions
✓ Completed
3
Maxima and Minima Concepts
✓ Completed
4
Local Maxima and Minima
✓ Completed
5
Second Derivative and Advanced Tests
✓ Completed
Ch 7
Integrals
1
Introduction & Basics
✓ Completed
2
Integration as Inverse Process
✓ Completed
3
Properties of Indefinite Integrals
✓ Completed
4
Methods of Integration
✓ Completed
5
Special Integrals & Standard Forms
✓ Completed
Ch 8
Application of Integrals
1
Introduction & Data Handling
✓ Completed
2
File System
✓ Completed
3
Database Management System
✓ Completed
4
Relational Data Model
✓ Completed
5
Keys in Relational Database
✓ Completed
Ch 9
Differential Equations
1
Basic Concepts of Differential Equations
✓ Completed
2
Solutions of Differential Equations
✓ Completed
3
Variable Separable Method
✓ Completed
4
Homogeneous Differential Equations
✓ Completed
5
Linear Differential Equations
✓ Completed
Ch 10
Vector Algebra
1
Fundamentals of Vectors
✓ Completed
2
Types and Properties of Vectors
✓ Completed
3
Vector Addition and Laws
✓ Completed
4
Multiplication and Components
✓ Completed
5
Advanced Vector Operations
✓ Completed
Ch 11
Three Dimensional Geometry
1
THREE DIMENSIONAL GEOMETRY — Foundations
✓ Completed
2
Direction Ratios and Cosines
✓ Completed
3
Equation of a Line in Space
✓ Completed
4
Angle Between Lines
✓ Completed
5
Shortest Distance in Space
✓ Completed
Ch 12
Linear Programming
1
Introduction and Concepts
✓ Completed
2
Mathematical Formulation
✓ Completed
3
Graphical Method
✓ Completed
4
Optimal Solutions and Theorems
✓ Completed
5
Applications and Examples
✓ Completed
Ch 13
Probability
1
Conditional Probability
✓ Completed
2
Multiplication Theorem
✓ Completed
3
Independent Events
✓ Completed
4
Bayes’ Theorem
✓ Completed
5
Total Probability & Distribution Basics
✓ Completed