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Math 312: Linear Algebra; Spring 2019.




Instructor: Dr. Stefan Forcey Textbook: Required: "Introduction to Linear Algebra with Applications." DeFranza and Gagliardi, University of Akron Custom Edition.

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".

• Jan. 15: Day one.
• Jan. 21: No class on MLK day.
• Chapter 1: Systems of Equations and Matrices
• Chapter 2: Linear Independence
• Jan. 27: Last day to drop.
• Feb. 19: No class, Pres. day.
• TEST 1. Thursday Feb. 21 Review Questions and Review Answers

• Chapter 3 : Vector Spaces
• Mar. 3: Last day to w/draw.
• Chapter 4: Linear Transformations
• Chapter 5: Eigenvalues
• TEST 2. Thursday April 18.
Review Questions and Review Answers

• Mar. 25-29: Spring break.
• Chapter 6: Inner products
• May 2: Last day.
• Final Exam Thursday May 9, 2:30-4:30pm Leigh 408



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, Take-home quiz on Jan.17, due Jan 24.
    • 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, Take-home quiz on Thurs, Jan. 24th. due Thurs 1/31.
    • 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. Take-home quiz on Thurs, Jan. 31 due Thurs Feb 7 (snow date: Tues. Feb 12.)
    • 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


    TEST 1 Ends Here.

  • HW 4: not collected. Take-home quiz on Feb. 26, due March 5.
    • 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. Take-home quiz on March 7, due March 14.
    • 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. Take-home quiz on March 19, due April 4.
    • 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. Quiz due April 11.
    • Section 4.5: 3, 5, 11, 13


    TEST 2 Ends Here.

  • HW 8: not collected. Quiz 4/23, Due 4/30.
    • 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
    Wigner on the unreasonable effectiveness of math.
    Hamming on the same.
    More of the story.
    Even more--Tegmark's response.
    A book about Aristotle's view.

    A bit of teaching philosophy:
    Lockhart's lament.

    A bit of history:
    pure math by Archimedes.


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