Unit 1: Floating-Point Numbers

• IEEE Floating-Point Demo

Unit 2: Numerical Linear Algebra

• Randy (Page Rank) demos
• Induced Norms demos

Unit 3: ODEs

• Euler’s Method
• Local Error for Euler’s Method (.py)
• 3rd Order Runge-Kutta (.py)
• Python’s solve_ivp

Unit 4: Interpolation

• Monomial Interpolation
• Lagrange Interpolation
• Cubic Splines in Python
• Crawling Bug Demo (parametric curves)
• How to use ginput in Python
• Bezier curves

Unit 5: Fourier Theory

• Fourier Series Demo
• Fourier Basis Vectors
• Fourier Compression Demo
• Fourier Audio Demos
• Interesting Fourier Properties