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.
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 More Review Questions
and More Review Answers
HW 3a: Note: the book uses subscripts instead of superscripts for polynomials.
P_3 is the space of polynomials degree 3 and less in the book, while I use superscripts, like P^3.
Section 3.1: 3, 9, 10, 11, 15, 17, 29
Section 3.2: 1-9 odd, 13, 19, 21, 25, 39, 41
Section 3.3: 1-11 odd
HW 3b:
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 odd, 15, 17, 21, 23
Try this problem in several online calculators. In ChatGPT , type in: "Find the null space of A=[1 3 5 6; 2 4 3 2; 1 0 0 1; 0 0 0 0]."
In Wolfram Alpha I have entered the syntax for you.
In Matlab type in A=[1 3 5 6; 2 4 3 2; 1 0 0 1; 0 0 0 0], and then type null(A).
Then compare the answers to make sure they all agree!
Note that Matlab does allow rounding errors, ChatGPT is imperfect, and Wolfram is the most trustworthy but has tricky syntax.
If ChatGPT doesn't agree, ask it to try again and then ask it to find its own mistake. Always fun!
In Matlab, you might want to enter format rat, and then (-704/263).*null(A) to see the fractions, but it might still have rounding error.
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.