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Program Details

Course Number & Title: MA001 Preparatory Mathematics-I

L-T-P-C: 3-2-0-10

Pre-Requisite: Nil

Matrices: Scalar Multiplication, Addition, Multiplication, Transpose operations on Matrices, Properties of Matrix Operations; Determinant of a matrix and its properties, Elementary Row Operations, Gauss-Jordan Elimination method, Rank of a Matrix, Linear System of Equations, Inverse of a Matrix. (All examples and problems on this topic may be restricted involving matrices upto 3x3 size). Ordinary differential equations: Order and degree; ODE of first order and first degree: Variable separable method, Reduction to variable separable form; Exact equations, Reduction to exact equations; Linear equations, Reducible to linear equations, orthogonal and oblique trajectories.

Second order homogeneous linear equations with constant coefficients.


  1. G. Schay, Introduction to Linear Algebra, Narosa, 1998.
  2. S. L. Ross, Differential Equations, 3rd Edition, 2007
  3. David Poole, Linear Algebra: A Modern Introduction, 4th Edition, Cengage Learning India Pvt. Ltd., 2014.
  4. Erwin Kreyszig, Advanced Engineering Mathematics, 10th Edition, Wiley, 2015.

Course Number & Title: MA002 Preparatory Mathematics-II

L-T-P-C: 3-2-0-10

Pre-Requisite: Nil

Sequence of real numbers, limit of a sequence, limit theorems, monotone sequence, Cauchy sequences, subsequences, Bolzano-Weierstrass Theorem (without proof).

Series of Real Numbers, Convergence, Absolute convergence, Comparison test, Root test and Ratio test.

Functions: Limit of Functions, Limit Theorems; Continuous functions, Algebra of Continuous Functions, Continuous functions on intervals, Inverse Functions; Differentiable functions, Rolle’s theorem, Mean value theorem, L'Hospital Rule, Maxima and Minima.

Introduction to Riemann Integration.


  1. G. B. Thomas Jr. and R. L. Finney, Calculus and Analytic Geometry, 9th Edition/ Any Edition, Pearson, 2010.
  2. K. A. Ross, Elementary Analysis: The Theory of Calculus, Springer, First Indian Reprint, 2004.
  3. R. G. Bartle and D. R. Sherbert, Introduction to Real Analysis, 4th Edition, Wiley, 2014.