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Theory Topics
1. Numerical Modelling
1.1. Revision of Concepts
1.2. The First Derivative
1.3. Finite Difference Method
1.4. Taylor Series Expansion
Exercises on Taylor expansion
1.5. Numerical Integration
1.6. Initial Value Problem for ODE: single-step methods
1.7. Multi-step and multi-stage methods
1.8. Boundary-value Problems: second-order ODE
1.9. Treatment of Partial Differential Equations: a start
Programming
Week 1.1: Getting Started!
Computers and Environments
Computers
Computing Environments
Software Installation
Install Miniconda
Hidden Files
Command Line Interface (CLI)
Environment Variables (Windows)
Visual Studio
Extensions
Files and Folders
Python Warmup
Fundamental Concepts
2. Vectors and matrices
3. Vector spaces
4. System of linear equations
5. Multivariate differentiation
6. Taylor series
7. Probability axioms
8. Random variables
9. Expectation (mean) and variance
10. Probability Tables
10.1. Normal
10.2. Chi-Squared
11. Probability in Python
12. Additional topics
Test
test page
test 2
Live Code
Repository
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.ipynb
.pdf
test 2
test 2
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