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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
Week 1.2: Python Topics
Week 1.3: VS Code Live Share!
Visual Studio Live Share
Week 1.4: Version control with Git!
Version Control
Install git
Git workflow
Git on GitHub
Making Commits to the Remote Repository (Web IDE)
Git in VS code
Cloning a Repository
Making Commits to the Local Repository
Fetch and Pull from the Remote Repository
Week 1.5: Collaboration with Git!
Branching and merging
Forking
Merge conflicts
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
Repository
Open issue
Index
