BIOE 210: Spring 2019

Course Materials

• Syllabus (including course policies and office hours)
• Linear Algebra: An Introduction to Data Science
• Chapters 0-4
• Chapter 5
• Chapter 6
  • Matlab MLX file
  • Matlab data file
• Chapter 7
• Chapter 8
• Chapter 9
• Chapter 10 (updated 4/2)
• Chapter 11 (updated 4/2)
• Chapter 12
• Assignments
• Homework Submission Guide
• Homework 1 due 1/30 before 9:00am.
  • bioe210_test_suite.m (updated 1/16)
  • lasso_data.mat
  • Solutions
• Homework 2 due 2/6 before 9:00am.
  • Solutions
• Homework 3 due 3/6 before 9:00am.
  • HW3_data.mat
  • Solutions
• Homework 4a due 3/13 before 9:00am.
• Homework 4b due 4/17 before 9:00am.
  • HW4b_data.mat
• Homework 5 due 5/1 before 9:00am.
  • HW5_data.mat
• Homework 6 due 5/8 before 9:00am.

Schedule

• Tu 01/15: Notation, linearity, and field axioms (0.1; 1.1-1.5)
• Th 01/17: Norms and dot products (1.6-1.8)
• Tu 01/22: Matrix multiplication and linear systems (2.1-2.4)
• Th 01/24: Gaussian elimination (2.5-2.7)
• Tu 01/29: Finite difference method (3)
• Th 01/31: Matix inverse (4.1-4.6)
• Tu 02/05: Rank and solvability (4.7-4.8)
• Exam 1: Th 02/07, in class (Chapters 0-4)
  • Practice Exam 1
  • Solutions
• Tu 02/12: no class
• Th 02/14: Optimization and convexity (5.1-5.2)
• Tu 02/19: Lines and hyperplanes (5.3-5.4)
• Th 02/21: Support vector machines (6)
• Tu 02/26: Basis vectors (7.1-7.4)
• Th 02/28: Orthogonality (7.5)
• Tu 03/05: Eigenvalues and eigenvectors I (8.1-8.3)
• Tu 03/07: Eigenvalues and eigenvectors II (8.4-8.5)
• Th 03/12: Singular value decomposition (9)
• Exam 2: Th 03/14, in class (Chapters 5-8)
  • Practice Exam 2
  • Solutions
• Tu 03/26: SVD and low rank approximations
  • SVD Review Notes
  • Matlab MLX file
  • Example image
• Th 03/28: Principal Component Analysis
  • Example PCA MLX file
  • Example data
  • Visual Guide to PCA in Matlab (updated 4/1)
  • PCA slides
• Tu 04/02: Linear Models and Regression I (10.1-10.2)
• Th 04/04: Linear Models and Regression II (10.3)
• Tu 04/09: Applied Linear Regression I (11)
• Th 04/11: Applied Linear Regression II (11)
  • football.csv
  • melanoma_drug_screen.csv
• Tu 04/16: Logistic Regression
  • Logistic Regression
  • Matlab MLX file
  • Example data
• Th 04/18: The LASSO
• Tu 04/23: Translation Matrices (Notes)
• Th 04/25: Nonlinear Systems (12)
• Exam 3: Tu 04/30, in class
  • Practice Exam 3
  • Solutions
  • Exam 3 Solutions