## COURSE CONTENTS

1. ALGEBRA
• Solution of Linear and Quadratic Equations. Equations reducible to Quadratic Form. Solution of simultaneous Equations.
• Arithmetic, Geometric and Harmonic Progressions: Arithmetic, Geometric and Harmonic Means.
• Permutations and Combinations: Binomial Theorem: Simple application.
2. TRIGONOMETRY
• Measurement of angles in Radian and Degrees. Definitions of circular functions. Derivation of circular function for simple cases.
3. ANALYTICAL GEOMETRY
• Coordinates of point in a plane. Distance between two points in a plane. Locus, Equations of straight line, Equation of Parabola, Circle and Ellips.
4. DIFFERENTIAL CALCULUS
• Functions, variations in functions, limits, differential coefficient, differentiation of algebraic, trigonometric, exponential and logarithmic functions, partial derivatives. Maxima and minima values. Points of inflexion.
5. INTEGRAL CALCULUS
• Concept of integration Rules of integration. Integration of algebraic, exponential, logarithmic and trigonometric functions by using different techniques, and numerical integration.