NOC:Mathematics for Chemistry


Lecture 1 - Errors, precision and accuracy


Lecture 2 - Probability and distributions


Lecture 3 - Gaussian distribution and integrals


Lecture 4 - Gaussian distribution, integrals, averages


Lecture 5 - Practice problems 1


Lecture 6 - Vectors and Vector Spaces


Lecture 7 - Linear Independence


Lecture 8 - Scalar and vector fields


Lecture 9 - Gradient, divergence and curl


Lecture 10 - Practice problems 2


Lecture 11 - Line integrals, Potential Theory


Lecture 12 - Surface and Volume Integrals


Lecture 13 - Matrices


Lecture 14 - Linear Systems, Cramer's Rule


Lecture 15 - Practice Problems 3


Lecture 16 - Rank and Inverse of a Matrix


Lecture 17 - Eigenvalues and Eigenvectors


Lecture 18 - Special matrices


Lecture 19 - Spectral decomposition and Normal modes


Lecture 20 - Practice Problems 4


Lecture 21 - Differential equations, Order


Lecture 22 - Exact and Inexact differentials


Lecture 23 - Integrating Factors


Lecture 24 - System of 1st order ODEs, matrix methods


Lecture 25 - Practice Problems 5


Lecture 26 - Types of 2nd order ODEs, nature of solutions


Lecture 27 - Homogeneous 2nd order ODEs


Lecture 28 - Homogeneous and nonhomogeneous equations


Lecture 29 - Nonhomogeneous equations – Variation of parameters


Lecture 30 - Practice Problems 6


Lecture 31 - Power series method for solving Legendre DE


Lecture 32 - Properties of Legendre Polynomials


Lecture 33 - Associated Legendre Polynomials, Spherical Harmonics


Lecture 34 - Hermite Polynomials, Solution of Quantum Harmonic Oscillator


Lecture 35 - Practice Problems 7


Lecture 36 - Conditions for power series solution


Lecture 37 - Frobenius Method, Bessel Functions


Lecture 38 - Properties of Bessel Functions, circular boundary problems


Lecture 39 - Leguerre Polynomials, solution to radial part of H-atom


Lecture 40 - Practice Problems 8