See Books & Online Resources Lists for the readings & practice materials.

The reading materials are not mandatory but it is encouraged.


The “Reading” column in the table below contains page numbers (Pg.) or chapters (ch.) on which it refers to a label in the Books & Online Resources List. For example “Pg. 1-5 [N]” refers to pages 1-5 of the first item in the list, which is the textbook titled “Linear algebra with applications”.


Topics and Materials

Week Day Topic Worksheet Homework Reading
1 M 1/15 MLK Day - - -
W 1/17 Cancelled - - -
F 1/19 Introduction and Orientation to ALA
(Temporarily Asynchronous)		 Algebra & Geometry Review - Syllabus
2 M 1/22 Dot Product &
Projections		 Vectors and the Geometry of Space Part 1 - Ch. 4.1 & 4.2 [N]
W 1/24 Cross Product &
Planes		 Vectors and the Geometry of Space Part 2 - Ch. 4.3 [N]
F 1/26 Equations of lines and Planes Lines and Planes in Space Assigned: Homework 1 TBA
3 M 1/29 Linear Independence &
Matrix Geometry		 Basis Vectors and Independence - TBA
W 1/31 Matrix Addition, Multiplication, and Transposition Matrix Algebra and Applications - TBA
F 2/2 System of Linear Equations & Row Reduction System of Linear Equations and Applications Assigned: Homework 2 TBA
4 M 2/5 Matrix Rank - - TBA
W 2/7 Matrix Inverse Matrix Rank and Inverse - TBA
F 2/9 Elementary Matrices Elementary Matrices - TBA
5 M 2/12 Linear Transformations Rotations, Reflections, and Projections - TBA
W 2/14 Project Period - - -
F 2/16 Project Phase 1 - - -
6 M 2/19 Fundamental Theorem of Linear Algebra Understanding the Fundamental Theorem of Linear Lagebra - TBA
W 2/21 Cancelled - - -
F 2/23 Four Fundamental Subspaces &
Orthogonality		 Orthogonality Assigned: Homework 3 TBA
7 M 2/26 Diagonalization Characteristic Polynomial and Matrix Diagonalization - TBA
W 2/28 Eigentheory Diagonalizable Matrices and Algebraic Multiplicity - TBA
F 3/1 Special Help Hours - - -
8 M 3/4 Spring Vacation - - -
W 3/6 Spring Vacation - - -
F 3/8 Spring Vacation - - -
9 M 3/11 Real and Complex Eigenvalues Eigentheory and Applications - TBA
W 3/13 Eigenvectors for Distinct and Repeated Eigenvalues - - TBA
F 3/15 Geometric Meaning of Eigenvalues and Eigenvectors Geometry of Eigenvalues and Eigenvectors - TBA
10 M 3/18 Cholesky Factorization Positive Definite Matrices - TBA
W 3/20 Project Period - - -
F 3/22 Project Phase 2 - - -
11 M 3/25 LU Factorization Product of Lower and Upper Triangular Matrix - TBA
W 3/27 QR Factorization Product of an Orthonormal Matrix and a Triangular Matrix - TBA
F 3/29 Easter Vacation - - -
12 M 4/1 Easter Vacation - - -
W 4/3 Geometric Meaning of Singular Values and Singular Vectors Geometric Interpretation of Singular Values - TBA
F 4/5 Singular Value Decomposition (SVD) Pseudoinverses and Dimensional Reduction Assigned: Homework 4 TBA
13 M 4/8 Cancelled - - -
W 4/10 Geometric Meaning of Principal Components Understanding Principal Components - TBA
F 4/12 Principal Component Analysis (PCA) Analysis of High-Dimensional Data with Principal Components - TBA
14 M 4/15 More Applications and Beyond Least Squares and Constrained Optimization - TBA
W 4/17 Project Period - - -
F 4/19 Cancelled - - -
15 M 4/22 Project Period - - TBA
W 4/24 Project Period - - TBA
F 4/26 Project Phase 3 - - TBA
16 W 5/1 Project Phase 4 - - -


Along with textbook [N] and [B], most of the course materials (contents of worksheets and homework) of each topic was taken from these following sources:

  • Inquiry oriented linear algebra (IOLA) by Wawro et al. (2013)
  • Introduction to linear algebra (6th Edition) by Strang (2023)
  • Linear algebra and learning from data by Strang (2019)
  • Linear algebra by MIT Open Courseware (2010)


Books & Online Resources Lists

Click on the link to access the resources.

Textbooks

[N] Nicholson WK (2018). Linear algebra with applications, Open Edition, edition. Lyryx. [pdf]

[B] Boyd S, Vandenberghe L (2018). Introduction to applied linear algebra:, vectors, matrices, and least squares. Cambridge university press. [pdf]


References

MIT Open Courseware. (2010). Linear algebra. https://ocw.mit.edu/courses/18-06-linear-algebra-spring-2010/
Strang, G. (2019). Linear algebra and learning from data. Wellesley-Cambridge Press. https://math.mit.edu/~gs/learningfromdata/
Strang, G. (2023). Introduction to linear algebra (6th ed.). Wellesley-Cambridge Press. https://math.mit.edu/~gs/linearalgebra/ila6/indexila6.html
Wawro, M., Zandieh, M., Rasmussen, C., & Andrews-Larson, C. (2013). Inquiry oriented linear algebra: Course materials. http://iola.math.vt.edu
This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License. http://creativecommons.org/licenses/by-nc-sa/4.0/