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Course Coordinated by
IIT Kanpur
NPTEL
>>
Courses
>>
Chemistry and Biochemistry
>> NOC:Mathematics for Chemistry (Video) >>
Lecture 1: Errors, precision and accuracy
Question in Lecture
Week 1: Error Analysis, Probability and Distributions
Lecture 1: Errors, precision and accuracy
Lecture 2: Probability and distributions
Lecture 3: Gaussian distribution and integrals
Lecture4:Gaussian distribution, integrals, averages
Lecture 5: Practice problems 1
Week 2: Vectors, Vector Spaces and Vector Functions
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
Week 3: Vector Integration, Matrices, Determinants, Linear Systems, Cramers Rule
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
Week 4: Matrix Rank, Inverse, Eigenvalues, Eigenvectors, Special Matrices, Normal modes
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
Week 5: First Order Differential Equations
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
Week 6: Second Order ODEs, Homogeneous/Nonhomogeneous equations
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
Week 7: Power Series Method for Solving 2nd Order ODEs
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
Week 8: Modified Power Series Method, Frobenius Method
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 Hatom
Lecture 40: Practice Problems 8
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