Mathematics and statistics: Unit 01
Algebra- Fundamental operations in algebra, expansion, factorization, quadratic equations, indices, logarithms, arithmetic, geometric, and harmonic progressions, binomial theorem, permutations and combinations
Mathematics and statistics: Unit 02
Coordinate geometry- Rectangular Cartesian coordinates, equations of a line, mid point, intersections etc, equations of a circle, distance formulae, pair of straight lines, parabola, ellipse, hyperbola, simple geometric transformations such as translation, rotation, scaling
Mathematics and statistics: Unit 03
Differential equations- Differential equations of first order and their solutions, linear differential equations with constant coefficients, homogenous linear differential equations
Mathematics and statistics: Unit 04
Trigonometry- Simple identities, trigonometric equations, properties of triangles, solution of triangles, height and distance, inverse function
Mathematics and statistics: Unit 05
Probability and Statistics- Basic concepts of probability theory, averages, dependent and independent events, frequency distributions, and measures of dispersions, skewness, and kurtosis, random variable and distribution functions, mathematical expectations, binomial, Poisson
- Normal distributions, curve fitting, and principle of least squares, correlation, and regression
Mathematics and statistics: Unit 06
Arithmetic- Ratios and proportions, problems on time-work, distance-speed, percentage, etc
Mathematics and statistics: Unit 08
Mensuration- Areas, triangles and quadrilaterals, area and circumference of circles, volumes, and surface areas of simple solids such as cubes, spheres, cylinders, and cones