Details of MA1201 (Spring 2017)

Level: 1 Type: Theory Credits: 3.0

Course CodeCourse NameInstructor(s)
MA1201 Mathematics II Anandamohan Ghosh

Part I: Ordinary Differential Equations

1. First Order Equations: Linear equations, integrating factor, Bernoullis Equation. Clairauts Equation.

2. Second Order Equations: Linear equations with constant coefficients, general solutions, non-homogenous equations, complementary function and particular integral. Linear equations with variable coefficients, reduction to the cannonical form. Power series solutions.

3. Stability: Basic introduction to the stability of solutions.

Part II: Fourier Series

1. Elementary Introduction to Fourier Series: Fourier coefficients, Fourier series of a function, summation of series using Fourier series.

Part III: Partial Differential Equations.

1. Separation of variables: Solution of partial differential equations by method of separation of variables with special emphasis on the Laplace/Poisson Equation.

Part IV: Probability & Statistics

1. Probability: Events, notion of probability, conditional probability, independence, Bayes theorem.

2. Statistics: Mean, median, mode. Variance. Correlation and regression.

Suggested Texts / Reference Books:

1. Apostol, T. M., Calculus I (2nd Edition), Wiley India Pvt Ltd, Springer-Verlag, 2011.

2. Apostol, T. M., Calculus II (2nd Edition), Wiley India Pvt Ltd, Springer-Verlag, 2007.

3. Arfken, G. B., Weber, H. & Harris, F., Essential Mathematical Methods for Physicists and Engineers, Academic Press, 2003.

4. Boas, M. L., Mathematical Methods In The Physical Sciences (3rd Edition), Wiley India Pvt Ltd, Springer-Verlag, 2006.

5. Kreyszig, E., Advanced Engineering Mathematics (8th Edition), Wiley India Pvt Ltd, 2010.

Course Credit Options

Sl. No.ProgrammeSemester NoCourse Choice
1 IP 2 Not Allowed
2 IP 4 Not Allowed
3 IP 6 Not Allowed
4 MR 2 Not Allowed
5 MR 4 Not Allowed
6 MS 2 Core
7 RS 1 Not Allowed
8 RS 2 Not Allowed