MATH 223: Homework Assignments

Unless announced otherwise, homework will be due on Friday each week. Turn in your assignment to me (in class or my office) before 4:00 PM each Friday.

  • To receive full credit, homework sets must be handed in to me on time (either in class or my office.) Turn in as much of the homework as you can by this deadline to receive partial credit. If you have a legitimate conflict you must tell me ahead of time.
  • You are encouraged to work with other students on the assignments as much as possible, but each student must write up the answers in her or his own words. You are expected to be working on the homework assignments throughout the week. DO NOT WAIT UNTIL THE DAY BEFORE IT IS DUE TO START THE ASSIGNMENT!
  • 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.
Set Homework Problems Reading Assignment Due Date
1
 I strongly recommend that you attempt every problem, especially the odd numbered problems so you can check the answers in the back of your book. However, only turn in the problems listed for each section.
Please notice that the assignment has changed. The problems from Section 13.2 will NOT be due this week. Instead you will hand them in as part of the second assignment, which is due next week.
Sec. 13.1: 3, 11, 13, 15, 25, 29, 32		 Read Sections 13.1-13.4
Friday, August 31
2
 Sec. 13.2: 9, 13, 19, 21, 25, 29, 31, 35
Sec. 13.3: 1, 3, 5, 7, 15, 17, 23, 26, 45, 50		 Read Sections 13.5-13.7
Friday, September 7
3
 Sec. 13.4: 1, 9, 15, 19, 23, 29, 33
Sec. 13.5: 1, 3, 7, 17, 19, 23, 29, 33, 39, 47, 49
Sec. 13.6: 3, 5, 7, 21-28 (You don't have to hand in problems from 13.6, but do them. Attempt to draw the pictures by hand and verify your result using your calculator or some computer software.)
Sec. 13.7: 3, 11, 31, 36, 43, 47
For the problems in 13.4, you should calculate the cross products by hand, not using the calculator. You can use your calculator to check your answers, but for these I want you to practice taking determinants. You should also read the TI-89 - Vectors and Matrices instructions.		 Read Sections 14.1-14.2
Friday, September 14
4
 Exam 1 on Friday: The exam will cover all of Chapter 13. It will be similar to the homework. To practice for the exam, review the homework problems, do some extra problems similar to the homework problems, and do some problems from the Chapter 13 Review in your textbook. We will have a review in class on Wednesday.
Note that the assignment is not due until Monday because of the exam. (You're welcome!)
Sec. 13.7: 15, 19, 33, 35, 45, 59
Sec. 14.1: 3, 4, 9, 19-24, 34, 39
Sec. 14.2: 3, 9, 11, 13, 17, 21, 23		 Read Sections 14.3-14.4
Monday, September 24
5
 Sec. 14.2: 29, 33, 35, 37, 39, 45
Sec. 14.3: 1, 3, 13*, 15**, 19, 21
(* - For #13, also find the binormal vector B(t).)
(** - For #15, don't find N(t), and use Theorem 10 (not Formula 9) to find T(t).)
Sec. 15.1: 5, 11, 15, 17		 Read Sections 15.1-15.3
Friday, September 28
6
 Sec. 15.1: 19, 23, 25, 27, 30, 31, 33, 35, 39, 41, 53-58*, 59
(* - For 53-58, don't bother matching the functions to anything. Just match the graphs to their level curves. You should be able to do this without using any technology.)
Sec. 15.1: 49-52 (You don't have to hand in these 4 problems from 15.1, but do them. Use Matlab (or other computer software) to plot the graphs and level curves. You may use your calculator, but I wouldn't recommend it because it will be difficult to get a good idea of how the graph looks.)
Sec. 15.2: 5, 7, 9, 13, 27, 31, 33, 35		 Read Sections 15.3-15.4
Friday, October 5
7
 Sec. 15.3: 5, 7, 9, 13, 15, 17, 21, 25, 35, 41, 45, 47, 53, 57, 59 Read Sections 15.5-15.6
Friday, October 12
8
 Exam 2 on Friday: The exam will cover sections 14.1-14.3 and 15.1-15.3. (Section 14.4 is not on the exam.) It will be similar to the homework. To practice for the exam, review the homework problems, do some extra problems similar to the homework problems, and do some problems from the Chapter Review at the end of each chapter in your textbook. We will have a review in class on Wednesday.
Note that the assignment is not due until Monday because of the exam.
Sec. 15.4: 1, 3, 5, 13, 17, 19
Sec. 15.4: 7* (You don't have to hand in this problem, but do it. Perhaps instead of this specific function, feel free to use the functions in #1, 3, or 5 since you already found the equations of the tangent planes. Use Matlab to plot the graph and tangent plane. Use the 'hold on' command to plot the graph and tangent plane simultaneously. You may use your calculator, but I wouldn't recommend it because it will be difficult to get a good idea of how the graph looks.)
Sec. 15.5: 1, 3, 7, 9, 13, 21, 27, 31, 35
Sec. 15.6: 5, 11, 13, 15
* - Here is the example we did in class. To plot the graph and tangent planes in MATLAB, try:
[x,y]=meshgrid(-10:.1:10,-10:.1:10);
z=x.^2+y.^2;
mesh(x,y,z)
hold on
z=4.*x+6.*y-13;
mesh(x,y,z)
To "zoom in", make the range in the first command SMALLER around the point where the tangent plane touches the graph. Around (2,3), for example, use:
[x,y]=meshgrid(1:.01:3,2:.01:4);
Read Sections 15.7-15.8
Monday, October 22
9
 Sec. 15.6: 7, 9, 19, 21, 23, 25, 27, 29, 33
Sec. 15.7**: 1, 3, 4, 5*, 7*, 11*, 29, 31, 41, 49
(* - For 5, 7, and 11 you don't have to hand in any graphs of these functions as the instructions indicate, but it might be helpful/interesting for you to see what the graphs look like.)
(** - You should be reading all of the examples in each section, but really make sure you read EVERY example in Sec. 15.7. This should significantly help you understand these problems.)
Sec. 15.7: 19-22 (You don't have to hand in these problem, but do them. Use Matlab (or other computer software) to plot the graph and level curves of these functions.)
Recall that MATLAB can give the graph using the 'mesh' command and the level curves using the 'contour' command:
mesh(x,y,z)
contour(x,y,z,100)
 Read Sections 16.1-16.2
Friday, October 26
10
 Sec. 15.8: 1, 3, 5, 19, 29
Sec. 16.1: 3, 11, 13
Sec. 16.2: 3, 5, 7, 9, 11, 13, 15, 19, 23, 29		 Read Sections 16.3-16.4
Friday, November 2
11
 Sec. 16.3: 1, 3, 7, 11, 15, 17, 19, 23, 37, 39, 45
Sec. 16.4: 7, 9, 11, 13, 19, 29
For the problems in 16.3 and 16.4, you should calculate all integrals by hand, not using the calculator. You can use your calculator to check your answers if you want.		 Read Sections 16.5-16.7
Friday, November 9
12
 Exam 3 on Friday: The exam will cover sections 15.4-15.8 and 16.1-16.4. It will be similar to the homework. To practice for the exam, review the homework problems, do some extra problems similar to the homework problems, and do some problems from the Chapter Review at the end of each chapter in your textbook. We will have a review in class on Wednesday.
Note that the assignment is not due until Monday because of the exam.
Sec. 16.2: 33
Sec. 16.5: 3, 5, 7
Sec. 16.6: 1, 5, 7, 9
Sec. 16.7: 1, 3, 7, 9		 Read Sections 16.8-16.9
Monday, November 19
Break
Thanksgiving Break: No classes, November 21-23.
STUDY ALL WEEK...
...Yeah right!
Have a great and safe break!
13
 Sec. 16.7: 11, 13, 17, 31
Sec. 16.8: 1, 3, 5, 6, 9, 11, 19, 23
Sec. 16.9: 1, 5, 7, 9, 11		 Read Section 17.1-17.3
Friday, November 30
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Monday, December 10
14
 Here are a few links to some interesting webpages related to vector fields. The first two can be used to plot your own vector fields:
  • 2D Vector Field Simulation - There are directions on the website, but here are some guidelines. Select 'Display: Field Vectors' to view the vector field. To see the actual flow, select 'Display: Particles (Vel.)' and make sure 'Flat View' is checked. There are several pre-defined vector fields, but you can also enter your own by selecting 'Setup: user-defined field', and entering the component functions at the bottom under 'Field Functions'.
  • 3D Vector Field Simulation
  • Various Vector Field Animations
Please notice that the due date has changed. This assignment is not due until the last day of class.
Sec. 17.1: 1, 3, 7, 9, 11-14, 15-18, 25, 29-32
Sec. 17.2: 1, 3, 5, 7, 9, 13, 19, 21
Sec. 17.3: 3, 5, 9, 11, 13, 15
Begin Studying for Final Exam
Monday, December 10
Final
Exam
 The Final Exam is on Monday, December 17, 8:00-11:00 am, in class (Sturges 113): We will have a review in class on Monday. The exam is a two part exam and will be similar to the homework. The first part is cumulative, covering material from the first three exams. The second part will cover material learned after the third midterm exam, including Sections 16.5-16.9 and 17.1-17.3. To practice for the exam, review the homework problems, do some extra problems similar to the homework problems, and do some problems from the Chapter Review at the end of each chapter in your textbook.
Continue Studying for Final Exam
Monday, December 17