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Advanced Mathematical Methods for Chemistry
Online
12 Weeks
Free Quick Facts
| Medium Of Instructions | Mode Of Learning | Mode Of Delivery |
|---|---|---|
| English | Self Study | Video and Text Based |
Courses and Certificate Fees
| Certificate Availability | Certificate Providing Authority |
|---|---|
| yes | IIT Kanpur |
The Syllabus
- Vectors, Vector Operations and Linear Independence
- Vector Operations, Generalization of Vectors
- Vector Differentiation, Vector Transformations
- Vector Integration, Line, Surface and Volume Integrals
- Practice Problems
- Matrix as a vector transformation, linear system
- Special Matrices: Symmetric, Orthogonal, Complex
- Rotational Matrices, Eigenvalues and Eigenvectors
- Determinants, Matrix Inverse
- Practice Problems
- Step Function, Delta Function
- Gamma Function, Error Function
- Spherical Polar Coordinates
- Cylindrical Polar Coordinates, Integrals
- Recap of Module 3, Practice Problems
- ODEs and PDEs, First order ODEs, system of 1st order ODEs
- First order ODEs, exact integrals, integrating factors
- System of first order ODEs, Linear first order ODEs
- General solution of a system of linear first order ODEs with constant coefficients
- Recap of Module 4, Practice problems
- Homogeneous 2nd Order ODE, Basis Functions
- Nonhomogeneous 2nd Order ODE
- Power Series Method of Solving ODEs
- Frobenius Method / Power Series Method
- Time-independent Schrodinger Equation for H-atom
- Maxima and Minima, Taylor Series
- Taylor Series for functions of several variables
- Critical Points of Functions
- Lagranges Method of Undetermined Multipliers
- Recap of Module 6, Practice Problems
- Nonlinear Differential Equations
- Phase Plane of A Pendulum
- Stability of Critical Points
- Population Dynamics Models
- Recap of Module 7, Practice Problems
- Fourier Series, Fourier Expansion of Periodic Functions
- Fourier Expansions and Differential Equations
- Fourier Expansions and Differential Equations
- Orthogonal Eigenfunctions, Sturm-Liouville Theory
- Recap of Module 8, Practice Problems
- Fourier Transforms
- Properties of Fourier Transforms
- Fourier Transforms and Partial Differential Equations
- Laplace Transforms
- Recap of Module 9, Practice Problems
- Partial Differential Equations, Boundary Conditions
- Separation of Variables
- Two-dimensional Wave Equation, Bessel Functions
- Two-dimensional Wave Equation, Bessel Functions
- Recap of Module 10, Practice Problems
- Discrete and Continuous Random Variables
- Probability Distribution Functions
- Poisson Distribution, Gaussain Distribution
- Error Estimates, Least Square Fit, Correlation Functions
- Recap of Module 11, Practice Problems
Articles
31 Aug'25, 03:44 PM
17 Jun'25, 10:59 AM
28 Feb'24, 08:51 AM
28 Feb'24, 07:16 AM
31 Aug'25, 03:44 PM
17 Jun'25, 10:59 AM
28 Feb'24, 08:51 AM
28 Feb'24, 07:16 AM