Math 320 Sections 1 and 2 - Calendar- Fall 2025

Last Updated: Tuesday, December 02 2025 at 17:17 PM
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All numbers indicate sections from Linear Algebra (Lay) -- Sixth Edition.

R is for the reading assignment
C is for exercises that are assigned and will be collected
W is for exercises that are to be done online

Tuesday

Thursday

Sept. 2
Sept. 4
Lecture #1:
Intro to Math 320
Systems of Linear Equations
Gaussian Elimination
Matrices

Sept. 9
Lecture #2:
Echelon Form
Basic and Free Variables
Describing Solution Sets

Homework Due:
R 1.1-1.2
W MyLab: Orientation Problems
Sept. 11
Lecture #3:
Vector algebra
Spans of Vectors


Homework Due:
R 1.3
W MyLab: Hw 1
Sept. 16
Lecture #4:
Matrix-vector Multiplication
Ax=b
Dot Product
Parameterized Solutions

Homework Due:
R 1.4-1.5
Written Homework #1:
C 1.2: 1bc, 2bc, 20,26,32,35
C Additional Problems
Sept. 18
Quiz #1
Lecture #5:
Homogeneous Linear Equations
Nonhomogeneous Systems
Characterization of Nonhomogeneous Systems


Homework Due:
R 1.6-1.7
W MyLab: Hw 2
Sept. 23
Lecture #6:
Spanning set
Linear Independence


Homework Due:
R 1.8
Written Homework #2:
C 1.3: 6, 12,14,16,18,32
C 1.4: 2,4,12
C 1.5: 8,10,14
C Additional Problems
Sept. 25
Quiz #2
Lecture #7:
Number of vectors and Independence
Introduction to Linear Transformations


Homework Due:
W MyLab: Hw 3
Sept. 30
Lecture #8:
One and two step verification
Showing a function is linear
Showing a function is not linear

Homework Due:
R 1.9
Written Homework #3:
C 1.5: 20,27,28,30,47
C 1.7: 2,8,12,20,21
C Additional Problems
Oct. 2
Quiz #3
Lecture #9:
Matrix of Linear Transformation

Homework Due:
R 1.10
W MyLab: Hw 4
Oct. 7
Lecture #10:
1-1 and onto functions
Homework Due:
R 2.1
Written Homework #4:
C 1.7: 23,26,34
C 1.8: 2,4,10,20,22,24
C Additional Problems
Oct. 9
Quiz #4
Lecture #11:
Composition of functions
Matrix Multiplication

Homework Due:
W MyLab: Hw 5
Oct. 14
Lecture #12:
Properties of Matrix Multiplication
Transpose of a Matrix


Homework Due:
R 2.2
Written Homework #5:
C 1.9: 2,16,22,24,26,28,38
C Additional Problems
Oct. 16
Quiz #5
Lecture #13:
Inverse of a Matrix


Homework Due:
W MyLab: Hw 6
Oct. 21
Lecture #14:
Shoes and Socks Theorem
Elementary Matrices
Question for Exam
Homework Due:
R 2.3
Written Homework #6:
C 2.1: 2,6,10,20,21,22,35
C Additional Problems
Oct. 23
Midterm
Topics:
1.1-1.9, 2.1-2.2
W MyLab: Hw 7
(Due Friday, but good practice for exam)
Oct. 28
Lecture #15:
Invertible Matrix Theorem
Abstract Vector Spaces
Homework Due:
R 4.1
Written Homework #7:
C 2.2: 2,8,18,19,20,31,32,42
C Additional Problems
Oct. 30
Quiz #6
Lecture #16:
Spanning Set
Subspaces

Homework Due:
W MyLab: Hw 8
Nov. 4
Lecture #17:
Proofs for Subspaces
Linear Transformations

Homework Due:
Written Homework #8:
R 4.2
C 2.3: 6,26,28,30
C 4.1:2,5,12,28,29
C Additional Problems
Nov. 6
Quiz #7
Lecture #18:
Kernel and Range Spaces
Linear Independence
Spanning set of subspaces

Homework Due:
R 4.3
W MyLab: Hw 9
Nov. 11
Lecture #19:
Basis of subspace
Null and column spaces


Homework Due:
Written Homework #9:
C 4.2: 12,44
C Additional Problems
Nov. 13
Quiz #8
Lecture #20:
Unique representation
Coordinate Systems

Homework Due:
R 4.4
W MyLab: Hw 10
Nov. 18
Dimension and Rank


Homework Due:
R 5.1
Written Homework #10:
C 2.8: 32,33
C 4.4: 4,8
C Additional Problems
Nov. 20
Lecture #21:
Change of Basis
Definition of Eigenvectors


Homework Due:
R 5.2
W MyLab: Hw 11
Nov. 25
Lecture #22:
Eigenvectors
Eigenvalues
Determinate

Homework Due:
R 3.1
Written Homework #11:
C 5.1:2,8,12
C Additional Problems
Nov. 27
Thanksgiving
Dec. 2
Lecture #23:
Finding Eignenvalues
Characteristic Polynomial
Eigenspaces


Homework Due:
R 5.3
Written Homework #12:
C 3.1: 6,10,12
C 3.2: 16,18,20,22,37,39
C Additional Problems
Dec. 4
Quiz #9
Lecture #24:
Eigenbasis
Diagonalization
Similarity


Homework Due:
R 5.4
W MyLab: Hw 12
Dec. 9
Lecture #25:
Trace
Complex Eigenvalues
Existence of Eigenbasis
Power of Matrices

Homework Due:
R 5.5
Written Homework #13:
C 5.1: 20,21,22,23,24
C 5.2: 4,10
C Additional Problems
Dec. 11
Lecture #26:
Questions for the final

Homework Due:
W MyLab: Hw 13
Final Exam
Section 1: Thursday, December 18 at 8 AM
Section 2: Tuesday, December 16 at 11 AM


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