## Details of MA2103 (Autumn 2019)

Level: 2 |
Type: Theory |
Credits: 3.0 |

Course Code | Course Name | Instructor(s) |
---|---|---|

MA2103 |
Mathematical Methods - II |
Ananda Dasgupta, Ratikanta Behera |

Syllabus |
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Part I: Partial Differential EquationsSeparation of variables: Classification, Solution of partial differential equations by
method of separation of variables with special emphasis on the Laplace/Poisson Equation. 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. |

References |
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and Engineers, Academic Press, 2003. Pvt Ltd, Springer-Verlag, 2006. 2010. |

#### Course Credit Options

Sl. No. | Programme | Semester No | Course 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 |