Detailed Syllabus of Mathematics & Statistics

Topics

Detail

Algebra

Fundamental operations in Algebra, Expansion, factorization, Quadratic equations, indices, logarithms, arithmetic, geometric and harmonic progressions, binomial theorem, permutations and combinations.

Probability & 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.

Co-ordinate Geometry

Rectangular cartesian co-ordinates, equations of a line, mid-point, intersections etc., equations of a circle, distance formulae, pair of straight lines, parabola, ellipse and hyperbola, simple geometric transformations such as translation, rotation, scaling.

Mensuration

Areas, triangles and quadrilaterals, area and circumference of circles, volumes and surface areas of simple solids such as cubes, spheres, cylinders and cones.

Co-ordinate Geometry

Rectangular Cartesian co-ordinates, equations of a line, mid-point, intersections etc., equations of a circle, distance formulae, pair of straight lines, parabola, ellipse and hyperbola, simple geometric transformations such as translation, rotation, scaling.

Differential Equations

Differential equations of first order and their solutions, linear differential equations with constant coefficients, homogeneous linear differential equations.

Trigonometry

Simple identities, trigonometric equations, properties of triangles, solution of triangles, height and distance, inverse function.

Arithmetic

Ratios and proportions, problems on time-work, distance-speed, percentage, etc.

Basic Set Theory and Functions

Set, relations and mappings