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Homework
(due date)		 Assignment
(items marked with * are optional reading or extra credit problems)
Hmwk #1
(Tues, Oct 30)		 Introduction to vectors, dot product
Read
  • Sec 1.0-1.3
  • Sec 3.0-3.1
 Do
You need only follow the "Good Problem" guidelines for the specific problem marked "Good Problem" (in this case, problem 18), but you should think about good writing for all your homework problems.
Hmwk #2
(Fri, Nov 2)		 Matrix operations, matrix algebra
Read
  • Sec 3.2-3.3
    (up to pg 168)
  • Sec 2.0-2.2
Do
Hmwk #3
(Tues, Nov 6)		 Matrix inverses, systems of linear equations
Read
  • Sec 2.3-2.4
 Do
Hmwk #4
(Fri, Nov 9)		 Spanning sets, linear independence
Read
  • Sec 3.3
 Do
In the Good Problem, your introduction should explain the strategy of your proof, enabling the reader to follow your arguments easily, and your conclusions should summarize what you did and what you proved.
Hmwk #5
(Tues, Nov 13)		 Subspaces, linear transformations
Read
  • Sec 3.5-3.6
 Do
In the Good Problem, be sure to show your work and justify all steps.
Hmwk #6
(Fri, Nov 16)		 Determinants, introduction to eigenvalues
Read
  • Sec 4.1-4.2
 Do
  • Sec 3.5: 16, 17, 21, 25, 32, 35, 39, 48, 56
  • Sec 3.6: 12, 21, 31, 37, 50
Review for your take home midterm exam that will be handed out Friday, Nov 16.
Sample problems for preparation for the midterm exam
(updated Nov 17 due to a typo in sixth problem)

Note that there is NO homework due Tues, Nov 20 due to the take home midterm exam.
Also, there is NO homework due (and no class on) Fri, Nov 23 due to the Thanksgiving holiday.

Midterm feedback We invite your feedback on our teaching and your learning in this class. Your responses remain anonymous. Constructive and specific suggestions to improve your learning experience are naturally more valuable than vague comments. Thank you!
Please use the following forms:
Hmwk #7
(Tues, Nov 27)		 Eigenvalues and eigenvectors
Read
  • Sec 4.3
 Do
  • Sec 4.2: 2, 13, 15, 22, 26, 27
    and
  • Sec 4.1: 6, 10, 17, 25, 28, 36
  • Sec 4.3: 18, 19(a), 21
Hmwk #8
(Fri, Nov 30)		 Discrete dynamical systems
Read
  • Your notes from class
 Do
  • Problems 1, 2, and 3 from Discrete Dynamical Systems Hmwk
    (All problems listed here if you prefer.)

    In problem 2, when it asks for numerical estimates for any "limiting values" you detect, it just means to observe if the system tends to approach a fixed point or periodic orbit, and if so, estimate the points in the orbit.
The applet
http://learn.sdstate.edu/cogswelk/homepage/WebDiagram/WebDiagram.html
can be used for the hmwk problems. While it does not have as many bells and whistles as the Discrete Tool, it does run on any platform (Mac, Windows, Linux, etc) and does do graphical analysis.

The Discrete Tool may be found under the Start Menu in the PC labs, under the folder for ODE Architect.
      Some brief guidelines on how to use the Discrete Tool: Discrete Tool
Hmwk #9
(Tues, Dec 4)		 Discrete dynamical systems
Read
  • Your notes from class
 Do
Hmwk #10
(Fri, Dec 7)		 Discrete dynamical systems
Read
  • Your notes from class
 Do
Hmwk #11
(Tues, Dec 11)		 Discrete dynamical systems
Read
  • Your notes from class
 Do
Review for your take home final exam that will be handed out Wednesday, Dec 12.
In class
Tues, Dec 11
Bring your questions on solutions to problems from previous hmwks and topics from throughout the course! We will spend class discussing hmwk solutions and reviewing concepts by request.

Take advantage of this great opportunity to have your lingering questions answered.

Final exam
solutions
Solutions to the final exam