Maths Volume-1
Sets, Relations and Functions
- Introduction
- Sets
- Cartesian Product
- Constants and variables,intervals and neighbourhoods
- Relations
- Functions
- Graphing funcctons using transformations
Basic Algebra
- Introduction
- Real number system
- Absolute value
- Linear inequalities
- Quadratic functions
- Polynomial functions
- Rational functions
- Exponents and radicals
- Logarithm
- Application of algebra in real life
Trigonometry
- Introduction
- A recall of basic results
- Radian measure
- Trigonometric functions and their properties
- Trigonometric identities
- Trigonometric equations
- Properties of triangle
- Application to triangle
- Inverse trigonometric functions
Combinatorics and Mathematical Induction
- Introduction
- Fundamental principles of counting
- Factorials
- Permutations
- Combinations
- Mathematical induction
Binomial Theorem, Sequences and Series
- Introduction
- Binomial theorem
- Particular cases of Binomial theorem
- Finite sequences
- Finite series
- Infinite sequences and series
Two Dimensional Analytical Geometry
- Introduction
- Locus of a point
- Straight lines
- Angle between two straight lines
- Pair of straight lines
Maths Volume-2
Matrices and Determinants
- Introduction
- Matrices
- Determinants
Vector Algebra
- Introduction
- Scalars and vectors
- Representation of a vector and types of vectors
- Algebra of vectors
- Position vectors
- Resolution of vectors
- Direction cosines and directon ratios
- Product of vectors
Differential Calculus - Limits and Continuity
- Introduction
- Limits
- Continuity
Differential Calculus -
Differentiability and Methods of Differentiation
- Introduction
- The concept of derivative
- Differentiability and Continuity
- Differentiation rules
Integral Calculus
- Introduction
- Newton-Leibnitz Integral
- Basic Rules of Integration
- Integrals of the form f(ax + b)
- Properties of Integrals
- Simple applications
- Methods of Integration
Introduction to probability theory
- Introduction
- Basic definitions
- Finite sample space
- Probability
- Some basic theorems on probability
- Conditional probability
- Total probability of an event
- Bayes’ Theorem
