Math 18 - Linear Algebra (4 units), Lecture B00, Spring 2025

Tentative Schedule

Week 1
Mar 31Section 1.1 - Systems of Linear Equations
Apr 1No discussion
Apr 2Section 1.2 - Row Reduction and Echelon Forms
Apr 3No discussion
Apr 4Section 1.3 - Vector Equations
Week 2
Apr 7Section 1.4 - The Matrix Equation Ax=b
Apr 8B01, B02, B03 Discussion
Apr 9Section 1.5 - Solution Sets of Linear Systems
Apr 10B04, B05, B06 Discussion
Apr 11Section 1.7 - Linear Independence
First Day Survey due at 11:59pm PT
Week 3
Apr 14Section 1.8 - Introduction to Linear Transformations
Apr 15B01, B02, B03 Discussion
MyLab HW 1 due
MyLab HW 2 due
Apr 16Section 1.9 - The Matrix of a Linear Transformation
MATLAB Assignment 1 due
Apr 17B04, B05, B06 Discussion
Apr 18Section 2.1 - Matrix Operations
Week 4
Apr 21Section 2.2 - The Inverse of a Matrix
Section 2.3 - Characterizations of Invertible Matrices
Apr 22B01, B02, B03 Discussion
MyLab HW 3 due
Apr 23Section 4.1 - Vector Spaces and Subspaces
Apr 24B04, B05, B06 Discussion
Apr 25Midterm 1: In-Class
Week 5
Apr 28Section 4.2 - Null Spaces, Column Spaces, and Linear Transformations
Apr 29B01, B02, B03 Discussion
MyLab HW 4 due
Apr 30Section 4.3 - Linearly Independent Sets; Bases
MATLAB Assignment 2 due
May 1B04, B05, B06 Discussion
May 2Section 4.5 - The Dimension of a Vector Space
Week 6
May 5Section 4.4 - Coordinate Systems
May 6B01, B02, B03 Discussion
MyLab HW 5 due
May 7Section 3.1 - Introduction to Determinants
Section 3.2 - Properties of Determinants
May 8B04, B05, B06 Discussion
May 9Section 3.3 - Cramer's Rule, Volume, and Linear Transformations
Week 7
May 12Section 5.1 - Eigenvectors and Eigenvalues
May 13B01, B02, B03 Discussion
MyLab HW 6 due
May 14Section 5.2 - The Characteristic Equation
MATLAB Assignment 3 due
May 15B04, B05, B06 Discussion
May 16Midterm 2: In-Class
Week 8
May 19Section 5.3 - Diagonalization
May 20B01, B02, B03 Discussion
MyLab HW 7 due
May 21Section 6.1 - Inner Product, Length, Orthogonality
Section 6.7 - Inner Product Spaces
May 22B04, B05, B06 Discussion
May 23Section 6.2 - Orthogonal Sets
Week 9
May 26No class
May 27B01, B02, B03 Discussion
MyLab HW 8 due
May 28Section 6.3 - Orthogonal Projections
MATLAB Assignment 4 due
May 29B04, B05, B06 Discussion
May 30Section 6.4 - The Gram-Schmidt Process
Week 10
Jun 2Section 7.1 - Diagonalization of Symmetric Matrices
Jun 3B01, B02, B03 Discussion
Jun 4Review
MATLAB Assignment 5 due
MATLAB Quiz available
Jun 5B04, B05, B06 Discussion
MATLAB Quiz due
Jun 6Review
MyLab HW 9 due
 
Jun 13Final Exam: 11:30am-2:30pm PT