Topics to be covered in this unit:
Unit Zero
1) Sets and Relations
2) Number System
3) Idea of Complex Numbers
4) Idea of Functions
5) Polynomial, Rational Functions – graphs, equations and inequalities
6) Modulus Function – properties, graphs, equations and inequalities
7) Logarithmic Functions – properties, graphs, equations and inequalities
8) Exponential Functions – properties, graphs, equations and inequalities
9) Trigonometric ratios and identities – functions, graphs
10) Factorial, nCr, nPr
11) Idea of Sequence and Series
12) Basics of Euclidean Geometry
Unit One
1) Trigonometric Functions – compound angle formulae and factorization
2) Trigonometric Equations
3) Inverse Trigonometric Functions
4) Solution of Triangle
5) Heights and Distances
6) Trigonometric Inequations
Unit Two
1) Limits
2) Continuity
3) First Principle and Differentiability
4) Differentiation
5) Applications of Derivatives
6) Idea of Indefinite Integration
Unit Three
1) Functions
2) Quadratic Equations, Theory of Equations
3) Sequence and Series
4) Determinants
5) Matrices
6) Vectors
Unit Four
1) Permutations and Combinations
2) Mathematical Induction
3) Binomial Theorem
4) Probability
5) Statistics
6) Probability Distribution
Unit Five
1) Locus
2) Lines
3) Pair of Straight Lines
4) 3D-Geometry
5) 3D-Lines
6) 3D-Planes
Unit Six
1) Circle
2) Parabola
3) Ellipse
4) Hyperbola
5) LPP
6) Mathematical Logic
Unit Seven
1) Indefinite Integration
2) Definite Integration
3) Applications of Definite Integration
4) Differential Equations
5) Applications of Differential Equations
6) Careers and Mathematics