Details of ID4108 (Autumn 2018)
| Level: 4 | Type: Theory | Credits: 4.0 |
| Course Code | Course Name | Instructor(s) |
|---|---|---|
| ID4108 | Mathematics for Chemist | Pradip Kumar Ghorai |
| Syllabus |
|---|
| 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 |
|---|
Course Credit Options
| Sl. No. | Programme | Semester No | Course Choice |
|---|---|---|---|
| 1 | IP | 1 | Not Allowed |
| 2 | IP ( Chemical Sciences ) | 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 |