Learn · Computational Mathematics with SageMath
Lecture 10 of 73week-02
Use of NumPy module
Prof. Ajit Kumar · Institute of Chemical Technology, Mumbai
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- Computational Mathematics with SageMath, Institute of Chemical Technology, Mumbai (at NPTEL)
- Licence
- CC BY-NC-SA, as NPTEL states it. Non-commercial use only.
- Attribution
- NPTEL states: "Distributed under Creative Commons Attribution-ShareAlike / CC BY - NC - SA", beside a BY-NC-SA badge. Coordinated by IIT Madras.
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- Tweens profiles and older. How courses are placed
All the lectures
- Installation of Python
- Getting Started with Python
- Python as an advanced calculator
- Lists in Python
- Tuple, Sets and Dictionaries in Python
- Functions and Branching
- For loop in Python
- While loop in Python
- Creating Modules and Introduction to NumPy
- Use of NumPy module
- Python Graphics using MatplotLib
- Use of SciPy and SymPy in Python
- Classes in Python - Part 01
- Classes in Python - Part 02
- Introduction and Installation of SageMath
- Exploring integers in SageMath
- Solving Equations in SageMath
- 2d Plotting with SageMath
- 3d Plotting with SageMath
- Calculus of one variable with SageMath - Part 1
- Calculus of one variable with SageMath - Part 2
- Applications of derivatives
- Integration with SageMath
- Improper Integral using SageMath
- Application of integration using SageMath
- Limit and Continuity of real valued functions
- Partial Derivative with SageMath
- Local Maximum and Minimum
- Application of local maximum and local minimum
- Constrained optimization using Lagrange multipliers
- Working with vectors in SageMath
- Solving system of linear Equations in SageMath
- Vector Spaces in SageMath
- Basis and dimensions of vector spaces in SageMath
- Matrix Spaces with SageMath
- Linear Transformations Part 1 with SageMath
- Linear Transformations Part 2 with SageMath
- Eigenvalues and Eigenvectors Part 1 with SageMath
- Eigenvalues and Eigenvectors Part 2 with SageMath
- Inner Product Part 1 with SageMath
- Inner Product Part 2 with SageMath
- Orthogonal Decomposition with SageMath
- Least Square Solution with SageMath
- Singular Value Decomposition (SVD) with SageMath
- Application of SVD to image processing
- Solving System of linear ODE using Eigenvalues and Eigenvectors
- Google Page Rank Algorithm using SageMath
- Finding Roots of algebraic and transcendental equations in SageMath
- Numerical Solutions of System of linear equations in SageMath
- Interpolations in SageMath
- Numerical Integration in SageMath
- Numerical Eigenvalues
- Solving 1st and 2nd order ODE with SageMath
- Euler's Method to solve 1st order ODE with SageMath
- Fourth Order Runge-Kutta Method
- RK4 method for System of ODE and Applications
- Solving ODE using Laplace Transforms in SageMath
- Introduction to Linear Programming Problems (LPP)
- Solving Linear Programming Problmes using Graphical Methods
- Basics Definitions and Results in LPP
- Theory of Simplex Method
- Simplex Methods in SageMath - Part 01
- Simplex Methods in SageMath - Part 02
- Simplex Methods in Matrix Form
- Revised Simplex Method in SageMath
- Two Phase Simplex Method in SageMath
- Big-M Method in SageMath
- Duality of Linear Program
- Dual Simplex Method in SageMath
- Review and What next in SageMath?
- Live Session 29-01-2021
- Live Session 22-02-2021
- Live Session 08-03-2021