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Mathematics

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

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