Math 416, Winter 2008

Assignments, Tests and Quizzes

• Jan. 8: We reviewed elementary linear algebra. A summary of the review material is on the handout which is available here Click for a copy of the review. The assignment is problems 1 through 5 in section 4 of the handout. They are due on Thursday (1/10).
• Jan. 10
  • There was a second review handout which is available here Click for a copy of review 2.
  • The hand in problems are the last three problems on the first handout and problem 1 on the second handout. Note that the last three problems on the first handout are problems 6, 7 and 8 on the printed handout that was passed out in class but on the version of the first handout available above under Jan. 8 the last three problems are problems 7, 8 and 9. The hand in problems are due on Thursday, Jan. 17.
  • Other problems not to be handed in are from the book:
    • Chapter 2, Section 1, page 88, problems 1.21, 1.23, 1.26 and page 98, problem 2.22
    • Chapter 2, Section 2, page 108, problem 1.18
• Note that a correction has been made in Review 2 above.
• Jan. 15, on the problem sheet handed out today (available here Jan. 15 problems) problems 1, 2 and 5. These are not to be handed in.
• Quiz 1 is Thursday (1/17). It covers the prolbems assigned Jan. 8 and Jan. 10 above.
• Jan. 17
  • Hand in Problems (due Tuesday, Jan. 22): On the Jan. 15 problem sheet available in the Jan. 15 entry above, problems 4 and 6
  • Non hand in problems:
    • Chapter 2, Section III, subsection 2, page 122, problems 2.14 and 2.15
    • Chapter 2, Section III, subsection 3, page 129, problems 3.17, 3.18, 3.19 and 3.21 (b)
• Jan. 22
  (None of these are to be handed in.)
  • Chapter 2, Section III.1, page 117, problem 1.17
  • Using B = < (1,1,0), (-1,1,0), (0,0,1) > find Rep_B(w) for w = (2,2,0), for w = (1,1,1) and for w = (7,3,2)
  • Chapter 3, Section I.1, page 160, problems 1.11 and 1.13
• Some solutions for the homework due on Jan. 17 are available here: Selected solutions for 1/17 homework.
• Jan. 24, Chapter 3, Section I.2, page 168, problems 2.8, 2.9, 2.14 and 2.16
• Solutions for the homework due on Jan. 22 are available here: Solutions for 1/22 homework.
• Jan. 29, The problems on the handout labeled Jan. 24 were assigned. They are due Tuesday Feb. 5. A copy of the handout is available here Jan. 24 Handout.
• Jan. 31, Chapter 3, Section II.1, page 175, problems 1.17, 1.18 and 1.23; Also problems (1) through (4) on the Jan. 31 handout which is available here: Jan. 31 problems.
• Test 1 is Thursday (2/7). Also note
  • Problems on the test will be similar to homework problems that have been assigned.
  • You may bring one 8 1/2 by 11 sheet of notes to use during the test.
  • The test will cover up through the problems assigned on Jan. 31.
• Solutions for the problems assigned Jan. 31 (and for the rest of the problems on the Jan. 31 handout) are available here: Solutions to the Jan. 31 problems.
• Feb. 5 - no assignment
• Feb. 12, problems (5) through (8) on the Jan. 31 handout. These are not to hand in.
• Note: There was a mistake in the solutions to the Jan. 31 handout in the solutions to problems 5 and 7. Corrections have been made.
• Feb. 14
  • Non-handin problems: Chapter 3, Section III.1, page 196, problems 1.14 through 1.17 and problem 1.20
  • Hand in problems, due Thursday (2/21): Problems (1) through (5) on Feb. 14 handout available here February 14 Handout.
• There is an extra credit problem due Tuesday (2/19). It's problem (2) in section IV Proofs of test 1. Up to 5 points credit will be given to be added to your score on test 1. The problem is prove: If U and V are vector spaces and h is a linear map from U to V then the set { u in U : h(u) = 0 } is a subspace of U.
• Feb. 19, problems (6) through (9) on the Feb. 14 handout available above
• Quiz 2 is Thursday (2/21). It covers the problems assigned on Feb. 12 and Feb. 14. You may use one sheet of notes.
• Feb. 21, no assignment
• March 4, problems (1) through (6) on the March 4th handout available here March 4th Handout. These problems are to be handed in and are due on Tuesday, March 11.
• March 6, Chapter 3, Section II.2, page 186, problems 2.22, 2.23, 2.24, 2.25 and 2.34 These are not hand in problems.
• Two things to note
  • Solutions for problems (6) through (9) on the Feb. 14 handout are available here 2/14 handout, selected solutions.
  • There is an error in problem (6) on the March 4 handout. You can do either of two things:
    1. Do the problem as it's written. The error shouldn't affect what you do.
    2. Replace B with the basis < (1 2 1), ( 1 -2 1), (1 1 0) > and do the problem.
• NOTE: The solutions to the Feb. 14 problems set posted above have been expanded to include problems (6) through (9).
• March 11 - Note, these are not to hand in.
  1. Find the quadratic function y = b₀ + b₁x + b₂x² which best fits the data points (1,0), (0,1), (1,2), (2,9), (3,28).
  2. On page 266 do one of 4, 6 (a) or 8 (a).
• Quiz 3 is Thursday (3/13). It covers the problems assigned on 2/19, 3/4 and 3/6.
• Solutions for some of the March 4th problems are available here March 4th Problems, Selected Solutions.
• March 18 - no assignment
• Test 2 is Thursday (3/20). It covers
  • Problems (5) through (8) on the Jan. 31 handout
  • Problems in Chapter 3, Section III.1, page 196
  • Problems (1) through (9) on the Feb. 14 handout
  • Problems (1) through (6) on the March 4 handout
  • Problems in Chapter 3, Section II.2, page 186
  • Fitting equations to data (least squares)
  You may use one 8 1/2 by 11 sheet of notes on the test.
• March 25, Problems (3), (4) and (5) on the March 25 handout may be done for 5 points (total and maximum) extra credit. These problems are due Tuesday, April 1. The handout is available here March 25 Handout.
• March 27 - None of these problems are hand in problems.
  • Chapter 5, Section II.1, page 348, problems 1.4, 1.5, 1.6, 1.10, 1.11 and 1.12
  • Chapter 5, Section II.3, page 358, problems 3.20, 3.21, 3.23, 3.24 and 3.25
• April 1, all problems on the April first handout were assigned and are due on Tuesday, April 8. He handout is available here: April 1 Handout.
• April 3: There was a handout but no problems were assigned. The handout is available here April 3 Handout.
• Note that there is an error in the course schedule that was handed out at the beginning of the semester. Quiz 4 was incorrectly listed as being on April 19. Quiz 4 will actually be on Thursday, April 10. The correction has been made in the online version of the schedule.
• Quiz 4 is Thursday (4/10). It covers
  • The March 25 Handout, problems (3), (4) and (5)
  • Chapter 5, Section II.1, page 348 problems 1.4, 1.5, 1.6, 1.10 1.11 and 1.12
  • Chapter 5, Section II.3, page 358, problems 3.20 through 3.25
  • The April 1 Handout
• Solutions to the problems on the April 1st Hanout are available here April 1st Handout Solutions.
• April 10
  • Hand in problem: The April 3 handout, problem (3)
  • Problems not to be handed in: Chapter 5, Section IV.1, page 380, problems 1.13, 1.14 and 1.15
• April 15, No problems were assigned today but the take home part of the final exam was handed out. It is available here Take Home Part of the Final.
• Note that there was an error in the April 3rd handout, problem (3) part (b). The sentence beginning "Prove that ... " should read "Prove that m_v(x) = x^k - (d₀ + d₁ x + d₂ x² + ^... + d_k-1 x^k-1)." The change has been made in the online version of the handout.
• There was an error on the take home part of the final exam. In problem (1) in both of the bulleted items occurrences of 't' should be replaced by 'r' and in the second bulleted item 'T' should be replaced by 'R'. The corrections have been made in the online version of the take home part of the final (available above).
• The Final Exam is Tuesday, April 22 at the regular class time. There are two parts to the final
  • Part I covers the same material as tests 1 and 2 and quizzes 1 through 3. Questions on this part will be similar to old quiz and test questions.
  • Part II covers the material assigned after test 2
  You may bring two 8 1/2 by 11 sheets of notes to use on the exam.
• Selected solutions for the April 3rd Handout are available here: April 3rd Handout Selected Solutions.