Minor in Mathematics

The Department of Mathematics offers a Minor in Mathematics to the BTech students of other disciplines of the Institute. Those who are meeting the criteria, set by the senate time to time, can opt for Minor in Mathematics at the end of their second semester and do the following courses.

SemesterCourse CodeLTPCCourse Title
3MA211M3006 Real Analysis
4MA212M3006 Mathematical Statistics
5MA311M3028 Scientific Computing
6MA312M3006 Modern Algebra
7MA411M3006 Differential Geometry
MA211M Real Analysis [3-0-0-6]

Metrics and norms - metric spaces, normed vector spaces, convergence in metric spaces, completeness, pointwise and uniform convergence of sequence of functions; Functions of several variables - differentiability, chain rule, Taylor's theorem, inverse function theorem, implicit function theorem; Introduction to Lebesgue measure and integral - measureable sets, measurable functions, Lebesgue integral, dominated convergence theorem, monotone convergence theorem.

MA212M Mathematical Statistics [3-0-0-6]

Probability - probability spaces, random variables and random vectors, functions of random vectors, univariate and multivariate distributions, mathematical expectations, moment generating functions, convergence in probability and in distribution and related results; Sampling distributions; Point estimation - estimators, sufficiency, completeness, minimum variance unbiased estimation, maximum likelihood estimation, method of moments, Cramer-Rao inequality, consistency; Interval estimation; Testing of hypotheses - tests and critical regions, Neymann-Pearson lemma, uniformly most powerful tests, likelihood ratio tests; Correlation and linear regression.

  1. R. V. Hogg, J. W. McKean and A. Craig, Introduction to Mathematical Statistics, 6th Ed., Pearson Education India, 2006.
  2. G. Casella and R. L. Berger, Statistical Inference, 2nd Ed., Duxbury Press/Thompson Learning India, 2002.
MA311M Scientific Computing [3-0-2-6]


MA312M Modern Algebra [3-0-0-6]


MA411M Differential Geometry [3-0-0-6]

Local theory of plane and space curves, curvature and torsion formulas, Serret-Frenet formulas, fundamental Theorem of space curves; Regular surfaces, change of parameters, differentiable functions, tangent plane, differential of a map; First and second fundamental form; Orientation, Gauss map and its properties, Euler's theorem on principal curvatures; Isometries, Gauss's Theorema Egregium; Parallel transport, geodesics, Gauss-Bonnet theorem and its applications to surfaces of constant curvature.

  1. J. McCleary, Geometry from a Differentiable Viewpoint, Cambridge University Press, 1994.
  2. A. Pressley, Elementary Differential Geometry, Springer, 2002.
  1. M. P. Do Carmo, Differential Geometry of Curves and Surfaces, Prentice Hall, 1976.
