COURSE CONTENTS
- 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.
- TRIGONOMETRY
- Measurement of angles in Radian and Degrees. Definitions of circular functions. Derivation of circular function for simple cases.
- 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.
- 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.
- INTEGRAL CALCULUS
- Concept of integration Rules of integration. Integration of algebraic, exponential, logarithmic and trigonometric functions by using different techniques, and numerical integration.