ChEn263 — W2024 Course Notes

• Link to Current Notes

Numerical Computing

Lectures 1-3: Foundations of Numerical Computing

• Lecture 1 - Numerical Computing
• Lecture 2 - Intro to Excel and Python
• Lecture 3 - Units and Error

Lectures 4-5: Structured Programming

• Lecture 4 - Functions
• Lecture 5 - Conditionals

Lectures 6-9: Loops and Arrays

• Lecture 6 - Loops
• Lecture 7 - Arrays
• Lecture 8 - File I/O and Plotting
• Lecture 9 - Debugging

Introduction to LLMs for Coding

• Lecture 9 and 3/4 - Large Language Models for Coding

Numerical Algebra

Lectures 10-12: Linear Algebra

• Lecture 10 - Review of Matrix Algebra
• Lecture 11 - Gauss Elimination
• Lecture 12 - Numpy Linear Algebra

Lectures 13-16: Nonlinear Algebra

• Lecture 13 - Fixed Point Methods
• Lecture 14 - NLEs in Scipy
• Lecture 15 - Optimization
• Lecture 16 - Engineering Problems

Numerical Calculus

Lectures 17-20: Interpolation and Integration

• Lecture 17 - Least Square Fitting
• Lecture 18 - Interpolation
• Lecture 19 - Newton-Coates Integration
• Lecture 20 - Jupyter and Scipy Integrals

Lectures 21-23: Initial Value Problems

• Lecture 21 - ODEs and Explicit Euler
• Lecture 22 - Systems of ODEs