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Mathematics for Chemistry
Online
8 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
- Errors, precision and accuracy
- Probability and distributions
- Gaussian distribution and integrals
- Gaussian distribution, integrals, averages
- Practice problems 1
- Vectors and Vector Spaces
- Linear Independence
- Scalar and vector fields
- Gradient, divergence and curl
- Practice problems 2
- Line integrals, Potential Theory
- Surface and Volume Integrals
- Matrices
- Linear Systems, Cramer's Rule
- Practice Problems 3
- Rank and Inverse of a Matrix
- Eigenvalues and Eigenvectors
- Special matrices
- Spectral decomposition and Normal modes
- Practice Problems 4
- Differential equations, Order
- Exact and Inexact differentials
- Integrating Factors
- System of 1st order ODEs, matrix methods
- Practice Problems 5
- Types of 2nd order ODEs, nature of solutions
- Homogeneous 2nd order ODEs
- Homogeneous and nonhomogeneous equations
- Nonhomogeneous equations – Variation of parameters
- Practice Problems 6
- Power series method for solving Legendre DE
- Properties of Legendre Polynomials
- Associated Legendre Polynomials, Spherical Harmonics
- Hermite Polynomials, Solution of Quantum Harmonic Oscillator
- Practice Problems 7
- Conditions for power series solution
- Frobenius Method, Bessel Functions
- Properties of Bessel Functions, circular boundary problems
- Leguerre Polynomials, solution to radial part of H-atom
- Practice Problems 8