Math 312: Linear Algebra; Summer 2025.

Instructor: Dr. Stefan Forcey

Office: CAS 275
Office Phone: 330 972 6779
Email is sforcey@uakron.edu
(...this is the best way to get a hold of me)
Office hours:
- By appointment.
Textbook:
"Introduction to Linear Algebra with Applications." DeFranza and Gagliardi. Google play ebook or find on Amazon to rent (ISBN 9781478628309).
Course Syllabus.
The syllabus will include information about grading policies, exam schedules and policies, etc. You should definitely read it.
Here's an approximate schedule of what we'll be doing this semester. Emphasis on the "approximate".

• June 9: Day one.
• Chapter 1: Systems of Equations and Matrices
• Chapter 2: Linear Independence
• June 13: Last day to drop.
• Chapter 3 : Vector Spaces
• June 24: Last day to w/draw.
• Chapter 4: Linear Transformations
• TEST 1. Wednesday June 25, 10am or 12 noon in CAS 240.
Review Questions and Review Answers
Part 2 Review Questions and Part 2 Review Answers

• Chapter 5: Eigenvalues
• Chapter 6: Inner products
• Test 2: Final Exam Friday July 11, 10am or 12 noon in CAS 240.
Review Questions
and Review Answers

Homework
There will be homework assigned weekly, and the assignments will be posted here.
They will often not be collected, but the quizzes will be based on them.

HW 1: not collected.

Section 1.1: 2, 5, 8, 9, 12, 13, 17, 19, 29, and 43 (a challenge problem).
Section 1.2: 6, 7, 8, 9-19 odd, 25, 26, 27, 29, 31, 37, 41, 45
Section 1.3: 1, 4, 5, 7, 12, 17-23 odd, 29, 33, 38

HW 2: not collected.

Section 1.4: 1-7 odd, 11, 13, 19 (a and b only), 25
Section 1.5: 1-21 odd, 25, 27
Section 1.6: 1-9 odd, 13, 17, 21, 27, 45, 47

HW 3: not collected.

Section 2.1: 1-8, 11, 13, 17-23 odd
Section 2.2: 1-11 odd, 13
Section 2.3: 1-11 odd, 17, 21, 23, 25, 27, 29

HW 4: not collected.

Section 3.1: 2, 9, 10, 11, 15, 17, 29
Section 3.2: 1-9 odd, 13, 19, 21, 25, 39, 42,
Section 3.3: 1-11 odd

HW 5: not collected.

Section 3.3: 13-17 odd, 23 (hint, the dimension of the subspace S is two, but why? What’s a basis?), 37
Section 3.4: 1-9 (all), 15, 17, 21, 23

HW 6: not collected.

Section 4.1: 1-6, 9, 13, 15, 17, 19, 23, 29, 33
Section 4.2: 3, 7, 9, 11, 15, 19, 21, 25, 29, 31
Section 4.3: 2-6 all, 7, 9, 13, 15, 23, 27, 32, 33
Section 4.4: 3, 5-9 odd, 13, 17, 23, 25, 29

HW 7: not collected.

Section 4.5: 3, 5, 11, 13

HW 8: not collected.

Section 5.1: 1-15 odd, 31 (hint: think geometrically!), 35
Section 5.2: 3, 5-15 odd, 21, 23, 27, 37
Tutoring Bierce library math lab (lower floor, look for chalkboards!)
Many more hours available: tutoring in the math lab(s).

For integration, you can't beat wolfram alpha , which now offers great step-by-step solutions to ODE's!
(with free account sign-up.) There is a lot of information with each solution,
including graphs of the entire family of specific solutions.

Here is a function whose power series has coefficients the triangular numbers, n choose 2.

Philosophy of Math: Plato vs Aristotle
Unreasonable effectiveness: the story.
More--Tegmark's response.
A book about Aristotle's view.

CREDIT:
The text of this page was adapted, with permission, from an original course site by J.P. Cossey.