Details of ID4108 (Autumn 2018)

Level: 7 Type: Theory Credits: 4.0

Course CodeCourse NameInstructor(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.ProgrammeSemester NoCourse 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