Updated Course Info Sheet

Here's an updated version of the course information sheet (aka the syllabus) I handed out on the first day of class.  It includes the grading scheme for the course.  A few of you have asked about your current grades in the course.  You've got your graded midterms and problem sets, as well as your participation grades (on OAK), so you can use the grading info here to compute your own grades.

Practice Problems for Final Exam

Here are some problems worth practicing from the material we covered after the second midterm.

  • Section 4.1 #5, 7, 23, 31, 33
  • Section 4.3 #33
  • Chapter 4 Supplementary Exercises #5
  • Section 5.6 #1, 3, 5, 17
  • Section 5.7 #3, 5
  • Section 9.2 #1, 7, 15

Note that Section 9.2, as well as answers to the odd-numbered exercises in Section 9.2, are available on OAK.

Final Exam Info

You may take the final exam on either Monday, December 14th, from 12 to 2 or Friday, December 18th, from 3 to 5.  Here's the review session schedule:

  • Friday, December 11, 11-12:30, SC 1117
  • Sunday, December 13, 6-7:30, SC 1206 (our usual classroom)
  • Thursday, December 17, 6-7:30, SC 1206 (our usual classroom)

I won't have any formal office hours, but if you'd like to get some one-on-one help, just send me an email and we can make an appointment.

The final exam will be comprehensive, but the material covered since the second midterm will be slightly overrepresented.  That would be Sections 5.5-5.7, linear programming, and the material from chapter 4 on abstract vector spaces (particularly the polynomial spaces Pn).  In terms of problem sets, that's problem sets 8, 9, and 10.  Here's the full, day-by-day schedule for the entire semester to help you remember what sections we covered.

PCRQ for Section 4.1

Please read Section 4.1 and answer the following questions before class on Thursday, December 3rd.

  1. Consider the space S described in Example 3.  Why might it be useful to know that this space, with addition and scalar multiplication as defined in Example 3, is a vector space?
  2. It turns out that in any vector space, the zero vector (from Axiom 4) is unique.  That is, any vector space can have only one zero vector.  Why isn't this fact included as one of the axioms in the definition of a vector space?
  3. Consider the set of all functions of the form p(x) = ax2, where a is any real number.  Is this set a subspace of P3?
  4. What is one specific question you have on the reading?