ChEn263 — 2019 Course Notes

• Link to Current Notes

Numerical Computing

Lectures 1-3: Foundations of Numerical Computing

• Lecture 1 Notes – Numerical Computing
• Lecture 1 Example (Python)
  
  
• Lecture 2 Notes – Intro to Excel and Python
• Lecture 2 Example (Excel) – Intro
• Lecture 2 Example (Python Hello World) – Intro
• Lecture 2 Example (Python) – Intro
  
  
• Lecture 3 Notes – Units and Error
• Lecture 3 Example (Excel) – Units
• Lecture 3 Example (Python) – Data Types and Error
• Lecture 3 Handout – “Big 13” Units

Lectures 4-5: Structured Programming

• Lecture 4 Notes – Functions
• Lecture 4 Example (Excel) – Functions
• Lecture 4 Example (Python) – Functions
  
  
• Lecture 5 Notes – Conditionals
• Lecture 5 Example (Excel) – Conditionals
• Lecture 5 Example (Python) – Conditionals
• Lecture 5 Example 2 (Python) – Conditionals, Key

Lectures 6-9: Loops

• Lecture 6 Notes – Loops
• Lecture 6 Example (Excel) – Loops
• Lecture 6 Example (Python) – Loops
  
  

• Lecture 7 Video Notes
• Lecture 7 Notes – Arrays
• Lecture 7 Example 1 (Python) – Array Basics
• Lecture 7 Example 2 (Python) – Loops and Array Math
  
  
• Lecture 8 Notes – File I/O and Plotting
• Lecture 8 Example (Excel) – File I/O and Plotting, (Lec08_pipe_data.csv)
• Lecture 8 Example (Python) – File I/O and Plotting
  
  
• Lecture 9 Notes – Debugging
• Lecture 9 Example 1 (Python) – Debugging, (Key)
• Lecture 9 Example 2 (Python) – Debugging, (Key)

Numerical Algebra

Lectures 10-12: Linear Algebra

• Lecture 10 Notes – Gauss Elimination
  
  
• Lecture 11 Notes – Iterative Methods
  
  
• Lecture 12 Notes – Numpy Linear Algebra
• Lecture 12 Example (Python) – Numpy Linear Algebra
  
  

Lectures 13-16: Nonlinear Algebra

• Lecture 13 Notes – Fixed Point Methods
  
  

• Lecture 14 Video Notes
• Lecture 14 Notes – Systems of NLEs
  
  

• Lecture 15 Video Notes
• Lecture 15 Notes – Scipy Root Finding
• Lecture 15 Example (Python) – Scipy Root Finding
  
  
• Lecture 16 Notes – Optimization
• Lecture 16 Example (Excel) – Optimization
• Lecture 16 Example (Python) – Optimization
  
  

Numerical Calculus

Lectures 17-20: Interpolation and Integration

• Lecture 17 Notes – Least Square Fitting
• Lecture 17 Example (Excel) – Least Square Fitting
• Lecture 17 Example (Python) – Least Square Fitting (data, key)
  
  
• Lecture 18 Notes – Interpolation
• Lecture 18 Example – Interpolation Concepts
• Lecture 18 Example (Excel)
• Lecture 18 Example (Python) (data)
  
  

• Lecture 19 Video Notes
• Lecture 19 Notes – Newton-Coates Integration
• Lecture 19 Example (Excel)
• Lecture 19 Example (Python)
  
  
• Lecture 20 Notes – Jupyter and Scipy Integrals. This is a Jupyter notebook. To download the notebook right-click here and select “Save link as”. Here is a pdf copy of the notebook.
• Lecture 20 Example (Jupyter), Key

Lectures 21-23: Initial Value Problems

• Lecture 21 Notes – ODEs and Explicit Euler
• Lecture 21 Example (Excel)
• Lecture 21 Example (Python)
  
  
• Lecture 22 Notes – Systems of ODEs
• Lecture 22 Example (Solve_IVP)
• Lecture 22 Example (Systems of ODEs)
  
  
• Lecture 23 Notes – Integrating Excel and Python
• Lecture 23 – VBA Handout
• Lecture 23 Example (Macros/VBA)
• Lecture 23 – XLWings Handout
• Lecture 23 Example (XLWings)