## Details of ID4108 (Autumn 2018)

Level: 7 |
Type: Theory |
Credits: 4.0 |

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

ID4108 |
Mathematics for Chemist |
Pradip Kumar Ghorai |

Syllabus |
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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. The Complex Numbers: Only Concepts, Complex Plane Ordinary Differential Equations, Legendre Polynomials Operators: Linear Operators, Commutators, Hermitian Operators Vectors: Representation of Vectors, Products of Vectors, Vector Calculus Determinants and Matrices: Cramers Rule, Matrix Algebra, Matrix eigenvalue problem Polar and Spherical Coordinates Probability and Statistics: Distributions, Regression Analysis, Correlation Analysis. 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. Distribution Functions: Boltzmann, Gaussian, Lorentzian, Log-Normal, Binomial, Poissonian, Voigt etc. Maxima and minima of a function of one variable, saddle points, applications. Riemann integral Lagrange's, Cauchy's, Taylor's theorem |

References |
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#### 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 |