This lab manual is designed to accompany the textbook Foundations of Applied Mathematics by Humpherys and Jarvis.

Contents:

• Python Essentials
• Invertible Affine Transformations and Linear Systems
• Profiling
• Cython
• QR decomposition
• Givens rotations and Least squares
• Image Segmentation
• Eigenvalue Solvers And Markov Chains
• SVD
• Correlation and Covariance
• Facial Recognition using Eigenfaces
• Numerical Derivatives
• Newton’s Method
• Gaussian Quadrature
• Monte-Carlo Integration
• Interfacing With Other Programming Languages Using Cython
• Single Pixel Camera
• Complex Numbers
• Integration in the Complex Plane
• PageRank Algorithm
• Finding Eigenvalues Using Iterative Methods
• GMRES
• RSA