Computational Mathematics with SageMath YR0RV78HFP

URI	`m2://res/YR0RV78HFP`
Kind	course
Creators	Ajit Kumar (instructor)
Date	2021-01-03
Scope	in

Expressions

e1: edition

Language	en
Date	2021-01-03

m1: page, Institute of Chemical Technology, Mumbai (record). nptel 111106149
m2: page, 2021-01-03 (record). nptel 111106149

Contents

part 1: week-01
session 1: Installation of Python
session 2: Getting Started with Python
session 3: Python as an advanced calculator
session 4: Lists in Python
session 5: Tuple, Sets and Dictionaries in Python
session 6: Functions and Branching
part 2: week-02
session 7: For loop in Python
session 8: While loop in Python
session 9: Creating Modules and Introduction to NumPy
session 10: Use of NumPy module
session 11: Python Graphics using MatplotLib
part 3: week-03
session 12: Use of SciPy and SymPy in Python
session 13: Classes in Python - Part 01
session 14: Classes in Python - Part 02
session 15: Introduction and Installation of SageMath
session 16: Exploring integers in SageMath
part 4: week-04
session 17: Solving Equations in SageMath
session 18: 2d Plotting with SageMath
session 19: 3d Plotting with SageMath
session 20: Calculus of one variable with SageMath - Part 1
session 21: Calculus of one variable with SageMath - Part 2
session 22: Applications of derivatives
part 5: week-05
session 23: Integration with SageMath
session 24: Improper Integral using SageMath
session 25: Application of integration using SageMath
session 26: Limit and Continuity of real valued functions
session 27: Partial Derivative with SageMath
session 28: Local Maximum and Minimum
part 6: week-06
session 29: Application of local maximum and local minimum
session 30: Constrained optimization using Lagrange multipliers
session 31: Working with vectors in SageMath
session 32: Solving system of linear Equations in SageMath
session 33: Vector Spaces in SageMath
session 34: Basis and dimensions of vector spaces in SageMath
part 7: week-07
session 35: Matrix Spaces with SageMath
session 36: Linear Transformations Part 1 with SageMath
session 37: Linear Transformations Part 2 with SageMath
session 38: Eigenvalues and Eigenvectors Part 1 with SageMath
session 39: Eigenvalues and Eigenvectors Part 2 with SageMath
part 8: week-08
session 40: Inner Product Part 1 with SageMath
session 41: Inner Product Part 2 with SageMath
session 42: Orthogonal Decomposition with SageMath
session 43: Least Square Solution with SageMath
session 44: Singular Value Decomposition (SVD) with SageMath
session 45: Application of SVD to image processing
session 46: Solving System of linear ODE using Eigenvalues and Eigenvectors
part 9: week-09
session 47: Google Page Rank Algorithm using SageMath
session 48: Finding Roots of algebraic and transcendental equations in SageMath
session 49: Numerical Solutions of System of linear equations in SageMath
session 50: Interpolations in SageMath
session 51: Numerical Integration in SageMath
session 52: Numerical Eigenvalues
part 10: week-10
session 53: Solving 1st and 2nd order ODE with SageMath
session 54: Euler's Method to solve 1st order ODE with SageMath
session 55: Fourth Order Runge-Kutta Method
session 56: RK4 method for System of ODE and Applications
session 57: Solving ODE using Laplace Transforms in SageMath
part 11: week-11
session 58: Introduction to Linear Programming Problems (LPP)
session 59: Solving Linear Programming Problmes using Graphical Methods
session 60: Basics Definitions and Results in LPP
session 61: Theory of Simplex Method
session 62: Simplex Methods in SageMath - Part 01
session 63: Simplex Methods in SageMath - Part 02
session 64: Simplex Methods in Matrix Form
part 12: week-12
session 65: Revised Simplex Method in SageMath
session 66: Two Phase Simplex Method in SageMath
session 67: Big-M Method in SageMath
session 68: Duality of Linear Program
session 69: Dual Simplex Method in SageMath
session 70: Review and What next in SageMath?
part 13: Live Session
session 71: Live Session 29-01-2021
session 72: Live Session 22-02-2021
session 73: Live Session 08-03-2021

Catalogue records

nptel: 111106149 (manifestation)
nptel_video: 111106149 (manifestation)