Math 18 - Linear Algebra (4 units), Lectures B and C, Spring 2021

Tentative Schedule

Mar 29Section 1.1 - Systems of Linear Equations
Mar 31Section 1.2 - Row Reduction and Echelon Forms
Apr 2Section 1.3 - Vector Equations
 
Apr 5Section 1.4 - The Matrix Equation Ax=b
Section 1.5 - Solution Sets of Linear Systems
Apr 7Section 1.7 - Linear Independence
Apr 9Quiz 1
 
Apr 12Section 1.8 - Introduction to Linear Transformations
MyLab HW 1 due
MyLab HW 2 due
Apr 14Section 1.9 - The Matrix of a Linear Transformation
Apr 16Section 2.1 - Matrix Operations
MATLAB Assignment 1 due at 1pm PT
 
Apr 19Section 2.2 - The Inverse of a Matrix
Section 2.3 - Characterizations of Invertible Matrices
MyLab HW 3 due
Apr 21Section 4.1 - Vector Spaces and Subspaces
Apr 23Quiz 2
 
Apr 26Section 4.2 - Null Spaces, Column Spaces, and Linear Transformations
MyLab HW 4 due
Apr 28Section 4.3 - Linearly Independent Sets; Bases
Apr 30Section 4.5 - The Dimension of a Vector Space
Section 4.4 - Coordinate Systems
MATLAB Assignment 2 due at 1pm PT
 
May 3Section 4.6 - Change of Basis
MyLab HW 5 due
May 5Section 3.1 - Introduction to Determinants
May 7Quiz 3
 
May 10Section 3.2 - Properties of Determinants
Section 3.3 - Cramer's Rule, Volume, and Linear Transformations
MyLab HW 6 due
May 12Section 5.1 - Eigenvectors and Eigenvalues
Section 5.2 - The Characteristic Equation
May 14Section 5.3 - Diagonalization
MATLAB Assignment 3 due at 1pm PT
 
May 17Section 6.1 - Inner Product, Length, Orthogonality
Section 6.7 - Inner Product Spaces
MyLab HW 7 due
May 19Section 6.2 - Orthogonal Sets
May 21Quiz 4
 
May 24Section 6.3 - Orthogonal Projections
MyLab HW 8 due
May 26Section 6.4 - The Gram-Schmidt Process
May 28Section 7.1 - Diagonalization of Symmetric Matrices
MATLAB Assignment 4 due at 1pm PT
 
May 31No class
Jun 1 MyLab HW 9 due
Jun 2Quiz 5
Jun 2-3MATLAB Quiz available
Jun 4Review
MyLab HW 10 due
 
Jun 7Final Exam: 8am-11am PT

Textbook Problems (not graded)

1.1 (27-33 odd, 35, 37)
1.2 (23, 25-33 odd, 35, 41)
1.3 (23-31 odd, 33)
1.4 (17, 19, 23-34 odd, 45)
1.5 (27-35 odd, 39, 51)
1.7 (21-43 odd)
1.8 (7, 21-29 odd, 37-43 odd)
1.9 (11, 13, 23-31 odd, 39, 43)
2.1 (5, 15-25 odd, 29, 31)
2.2 (11-19 odd, 25, 29, 31)
2.3 (11-21 odd, 47)
4.1 (23-31 odd, 35, 39, 41)
4.2 (25-37 odd, 43)
4.3 (21-33 odd, 41, 43)
4.5 (23-29 odd, 33, 35, 37)
4.4 (15-23 odd, 27, 33, 35)
4.6 (15, 17)
3.1 (33, 35, 39, 41, 45)
3.2 (27-33 odd, 35, 39, 41, 49)
3.3 (29, 33)
5.1 (19, 21-37 odd)
5.2 (21-29 odd)
5.3 (21-37 odd)
6.1 (19-27 odd, 35, 37)
6.7 (19-23 odd)
6.2 (23-31 odd, 37, 39)
6.3 (21-29 odd)
6.4 (17-23 odd)