Ch 1
Numbers, Quantification and Numerical Applications
1
Number Theory and Modular Fundamentals
✓ Completed
2
Congruence Modulo and Equivalence Classes
✓ Completed
3
Advanced Arithmetic Functions
✓ Completed
4
Quantification and Mixture Applications
✓ Completed
5
Scheduling, Races, and Inequalities
✓ Completed
Ch 2
Algebra
1
Matrix Fundamentals and Types
✓ Completed
2
Matrix Algebra and Transformations
✓ Completed
3
Determinants and Their Properties
✓ Completed
4
Inverse Matrices and Linear Systems
✓ Completed
5
Geometry, Real-Life, and Economic Models
✓ Completed
Ch 3A
Differentiation and Its Applications
1
Differentiation Basics
✓ Completed
2
Cost, Revenue and Rates
✓ Completed
3
Tangents and Normals
✓ Completed
4
Monotonic Functions and Critical Points
✓ Completed
5
Applications of Derivatives
✓ Completed
Ch 3B
Integral Calculus and its Applications in Business
1
Fundamentals of Integration
✓ Completed
2
Integration by Substitution
✓ Completed
3
Integration by Partial Fractions
✓ Completed
4
Integration by Parts and Definite Integrals
✓ Completed
5
Properties and Applications of Definite Integrals
✓ Completed
Ch 3C
Differential equations and Modeling
1
Introduction to Differential Equations
✓ Completed
2
Solutions of Differential Equations
✓ Completed
3
Formation of Differential Equations
✓ Completed
4
Mathematical Modeling
✓ Completed
5
Applications of Differential Equations
✓ Completed
Ch 4
Probability Distributions
1
Random Variables and Foundations
✓ Completed
2
Probability Distribution and Expectation
✓ Completed
3
Variance and Binomial Distribution
✓ Completed
4
Poisson Distribution
✓ Completed
5
Normal Distribution and Z-Score
✓ Completed
Ch 5
Inferential Statistics
1
Population & Sample
✓ Completed
2
Sampling Methods & Errors
✓ Completed
3
Parameter & Statistical Concepts
✓ Completed
4
Hypothesis & Testing Basics
✓ Completed
5
t-Test & Applications
✓ Completed
Ch 6
Index Number and Time Based Data
1
Index Number Basics
✓ Completed
2
Construction of Index Numbers
✓ Completed
3
Methods of Index Numbers
✓ Completed
4
Types, Limitations and Tests
✓ Completed
5
Time Series Analysis
✓ Completed
Ch 7
Financial Mathematics
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 8
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