## Details of MA1201 (Spring 2017)

Level: 1 |
Type: Theory |
Credits: 3.0 |

Course Code | Course Name | Instructor(s) |
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MA1201 |
Mathematics II |
Anandamohan Ghosh |

Syllabus |
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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. |

References |
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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. | Programme | Semester No | Course 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 |