MATH 233: Schedule and Supplemental Problems

The purpose of this page is to give you a tentative schedule and a list of supplemental problems.

  • The schedule may change and is meant to be used as a rough guide of topics to be covered.
  • The supplemental problems are completely optional and you will NOT hand them in. However, you are encouraged to work through as many of them as you can. You should work through them with other students. These are the exact problems I have assigned in some previous semesters, and they provide a good example of problems that will be on the exams.
  • Your homework grade will be based on the Webwork Assignments, not the supplemental exercises.
  • Reading the textbook is required, NOT optional. Your chances of getting a good grade in this course are infinitesimally small unless you read the textbook in addition to attending lectures.
Week Supplemental Problems Reading Assignment
1
 Sec. 1.1: 3, 11, 13, 19, 24, 31 Read Sections 1.1-1.2
2
 Sec. 1.2: 2, 3, 7, 11, 17, 19, 23, 24, 27
Sec. 1.3: 1, 5, 9, 11, 13*, 15, 17, 23, 25*, 27*, 29
Sec. 1.4: 9, 11, 13, 15, 17, 19, 21, 25
* For the problems in Section 1.3, you should do the row reduction by hand, not using the calculator. You can use your calculator to check your answers. However, the problems marked with a * you can use a calculator to put the matrix in RREF. You may use your calculator for any row reductions required in Section 1.4.
You should also read the TI-89 - Vectors and Matrices instructions.		 Read Sections 1.3-1.4
3
 Sec. 1.5: 9, 11, 13, 15, 17, 21, 25
Sec. 1.6: 3, 5, 11, 12
Sec. 1.7: 1, 5, 7, 9, 15*, 17*, 27, 31 (* No calculations are necessary for 15 and 17.)
Also solve the following differential equations:
  1. y''+y'-6y=0, with y(0)=1 and y'(0)=0
  2. y''-4y'+4y=0, with y(0)=2 and y'(0)=1
 Read Sections 1.5-1.7
4
 Sec. 1.8: 1, 3, 7, 9, 13, 15, 19, 29, 33
Sec. 1.9: 1, 3, 5, 7, 11, 13, 15, 17, 19, 21, 25, 27, 31, 35		 Read Sections 1.8, 1.9
EXAM
 Exam 1 is on Wednesday, Feb. 27: The exam will cover all of Sections 1.1-1.9 of the textbook. It will be similar to the homework. To practice for the exam, review the WeBWorK problems, do some of the supplemental problems listed above, and know all of the definitions and useful theorems. We will have a review in class on Monday. Read Chapter 1
5
 Sec. 2.1: 1, 5, 7, 9, 15, 17, 19, 21, 23, 27
Sec. 2.2: 1, 5, 7, 9, 11, 13, 15, 17, 29,31 (For the problems in Section 2.2, you should do all calculations by hand, not using the calculator.)		 Read Sections 2.1, 2.2
6
 Sec. 2.3: 5, 11, 13, 15, 17, 19, 21, 29, 33 (For problems in Section 2.3, when it says "Justify your answer" or "Why or why not?", most of your explanations should only be one or two sentences. Try quoting part of the big theorem, "The Invertible Matrix Theorem".) Read Sections 2.3
7
 Sec. 2.8: 1, 3, 5, 7, 9, 11, 13, 15, 17, 23, 25
Sec. 2.9: 9, 11, 13, 15, 19, 21, 23, 25		 Read Sections 2.4-2.9
8
 Sec. 3.1: 1, 5, 9, 13, 37
Sec. 3.2: 1, 3, 5, 9, 15, 17, 19, 21, 23, 25, 29, 39
(For each problem in these sections, follow the directions for calculating the determinants by hand. You should NOT be using the calculator to evaluate determinants unless you are checking your answer.)		 Read Sections 3.1-3.2
Break
Spring Break: No classes, March 17-21.
STUDY ALL WEEK...Yeah right!
Have a great and safe break!
9
 Sec. 3.3: 19, 21, 23
Sec. 5.1: 5, 9, 15, 17, 19, 21, 25 		Read Sections 3.3, 5.1-5.2
10
 Sec. 5.2: 1, 3, 11, 17, 21
Sec. 5.3: 4, 5, 7, 9, 11, 13, 23, 25 		Read Sections 5.3
EXAM
 Exam 2 is on Wednesday, April 9: The exam will cover all of Sections 2.1-2.3, 2.8-2.9, and 3.1-3.3 of the textbook. It will be similar to the homework. To practice for the exam, review the WeBWorK problems, do some of the supplemental problems listed above, and know all of the definitions and useful theorems. We will have a review in class on Monday. Read Chapters 2 and 3
11
 Sec. 5.5: 1, 3, 13, 15, 21
Sec. 4.1: 3, 5, 11, 13, 15, 17, 21, 25		 Read Sections 5.5, 4.1
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Tuesday, May 6
12
 Really read Section 4.2, 4.3, and 4.6 well. They review the notions of Nul(A) and Col(A) and basis, which we learned earlier in the semester. Especially read through the chart on page 232 which summarizes the contrasting relationship of Nul(A) and Col(A).
Problems: Here are some extra problems you'll need to do for this assignment.
Sec. 4.2: 5, 7, 13, 15, 17, 19, 23, 31*, 32*, 33* (*For problems 31, 32, and 33 just find the kernel of T and nothing else.)
Sec. 4.3: 1, 9, 14, 15, 19, 26, 33
Sec. 4.4: 3, 5, 9, 13
Sec. 4.5: 3, 7
Sec. 4.6: 3, 5, 7, 9
Sec. 4.7: 7, 9		 Read Sections 4.2-4.7
Final
Exam
 The Final Exam is on Monday, May 12, 8:00-11:00 am, in class (Sturges 103): We will have a review in class on Monday, May 5. The exam is cumulative and will be similar to the homework and midterms. There will be some material from the midterm exams, so make sure you review them. There will also be material that we learned after the second midterm exam, including Sections 4.1-4.7, 5.1-5.3, and 5.5. To practice for the exam, review the homework problems and midterm exams, do some extra problems similar to the homework problems, and know all of the definitions.
Continue Studying for Final Exam