## Details of CH4109 (Autumn 2019)

Level: 4 |
Type: Theory |
Credits: 4.0 |

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

CH4109 |
Mathematics for Chemists |
Ashwani Kumar Tiwari, Susmita Roy |

Syllabus |
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1) Vectors, Representation of Vectors, Products of Vectors, Vector Calculus, Differentiation with respect to (w. r. t.) a vector, Integration w. r. t. a vector, Gradient, Divergent, Curl, Polar and Spherical Coordinates, Linear Operators, Commutators, Hermitian Operators (10 lectures).
2) Determinants, Matrices, Rank, Cramers Rule, Matrix Algebra, Matrix eigenvalue problem, Eigen value and eigen vectors, Application of matrices to chemistry, Legendre Polynomials (10 lectures) 3) Differentiation and Integration Functions, Continuity, Differentiation, Fundamental Theorem of Calculus, Integration, Improper Integrals, The Gamma Function, The Beta Function, The Error Function, The Dirac Delta Function. Series and Limits: Convergence and Divergence Series, Power Series, Applications (8 lectures). 4) The Complex Numbers: Only Concepts, Complex Plane (1 lecture) 5) Probability and Statistics: Distributions, Regression Analysis, Correlation Analysis (3 lectures). 6) Data Analyses: successive iteration and error analysis, plotting data, Mean, median, mode, standard deviation, goodness of a fit, maximum likelihood estimation, multiple exponentiality, average from multiple exponentiality, stretched exponential, sigmoidal function, polynomial function, power law etc. (5 lectures) |

References |
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Books:
1) Mathematical Methods for Physicists by Arfken, Weber and Harris 2) Vector Analysis by M. R. Spigel 3) Numerical Methods for Engineers by Chapra, S. C., Canale, R. P. Tata McGraw-Hill, New Delhi (2006). 4) Numerical Methods for Engineers and Scientists by Boca Raton Taylor and Francis, (2001). |

#### Course Credit Options

Sl. No. | Programme | Semester No | Course Choice |
---|---|---|---|

1 | IP | 1 | Not Allowed |

2 | IP | 3 | Core |

3 | IP | 5 | Elective |

4 | MR | 1 | Not Allowed |

5 | MR | 3 | Not Allowed |

6 | MS | 7 | Not Allowed |

7 | RS | 1 | Elective |

8 | RS | 2 | Elective |