Details of MA2103 (Autumn 2019)

Level: 2 Type: Theory Credits: 3.0

Course CodeCourse NameInstructor(s)
MA2103 Mathematical Methods - II Ananda Dasgupta,
Ratikanta Behera

Part I: Partial Differential Equations

Separation of variables: Classification, Solution of partial differential equations by
method of separation of variables with special emphasis on the Laplace/Poisson

Part II: Fourier Series

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

Part III: Probability \& Statistics

Probability: Events, notion of probability, conditional probability, independence, Bayes
theorem; Law of large numbers and the Central Limit Theorem (statement only).

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

Part IV: Numerical Methods

Root finding by the bisection, regula falsi and Newton-Raphson methods; Solving ordinary differential equations by the Euler and Runge-Kutta methods; Interpolation and extrapolation from data sets.

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

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

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

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

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

  • Course Credit Options

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