(Syllabus of the following topics is as per Under Graduate Honours lavel)

• Real Analysis – Sequence, Sets in R, Continuity, Differentiability, Power series, Enumerable sets, Fourier series, Compact sets, Metric spaces.
• Dynamics –Particle Dynamics .
• Algebra – Group, Ring, Field, Vector Space.
• Calculus – Functions of several variable, Indeterminate forms, Maxima & Minima, Infinite series of real constants and their convergence. Definite integration, Ordinary Differential equation of first order, Vector Calculus, Concavity & Convexity.
• Numerical Analysis – Errors in numerical computation, Numerical integration, Solution of linear and non-linear equations.
• LPP – Mathematical Preliminaries, Characteristics of an optimal solution.