## Math 13, Spring 09

### Calculus of Vector-Valued Functions

 General Information Schedule Homework Assignments Links Exams

*** For the second midterm, the average was 73 and the median was 78.

*** If you would like to calculate your (rough) preliminary grade in this course here's how.

1) Compute your homework score: (hw1+hw2+hw3+hw4+hw5)/184*25 and add 25 for your webwork (this is out of 50);

2) compute your exam score: exam1*2 + exam2/74*200 (this is out of 400);

3) add 1) and 2), divide by 4.5 (this is out of 100);

4) roughly: 85-100 is an A, 70-84 is a B, 60-69 is a C, 59 and below is a D.

Homework

Homework consists of daily webwork and weekly written homework.

The WeBWork assignments will open at 3:00 pm MWF and close at 12:15 pm MWF.

The written homeworks will be posted below and are due on Mondays at the start of class.

• Collaboration on the written homework is permitted and encouraged, but all homework is to be written up independently!
• Marks will be awarded for correct working, logical setting out, appropriate explanations and presentation -- and not just the final answer. The aim of this is to develop your ability to present your mathematics in a professional way. So pay attention to neatness, grammar, clarity of argument, use of notation and so forth. Please staple all your papers together.
• Late homework will not be accepted, so please do not ask for extensions.
• Please keep all your graded papers until you know your final grade.
If you do not follow these guidelines, your homework may be returned to you ungraded.

Written homework 9 (due Monday June 1 before class):

Section 7.2: 2, 4, 6, 8, 12, 20

Section 7.3: 2, 6, 10, 14

Extra practice (not to be handed in)

Section 7.2: 3, 5, 7, 23

Section 7.3: 4, 8, 16

Written homework 8 (due Tuesday May 26 before our x-hour):

Section 6.3: 2, 4, 10, 14, 16, 18

Section 7.1: 2, 4, 8, 10, 24

Extra Practice Problems (not to be handed in):

Section 6.3: 1, 3, 7, 11, 15, 19, 25

Section 7.1: 3, 7, 9, 23, 26

Written homework 7 (due Monday May 18):

Study for our next midterm.... see the exams webpage.

Section 6.2: 2, 6, 8, 13, 14, 24

Extra Practice Problems (not to be handed in):

Section 6.2: 1, 3, 7, 9, 19, 21, 22

Written homework 6 (due Monday May 11):

Study for our next midterm.... see the exams webpage.

Section 5.6: 6, 10, 14, 18, 22

Section 6.1: 6, 10, 16, 20, 22

Extra Practice Problems (not to be handed in):

Section 5.6: 7, 11, 17, 19, 27

Section 6.1: 1, 3, 7, 9, 15, 17, 21, 24

Written homework 5 (due Monday May 4):

Section 5.5: 2, 4, 6, 8, 14, 16, 26, 30

Extra Practice Problems (not to be handed in):

Section 5.5: 9, 12, 23, 24.

Written homework 4 (due Monday April 27):

Section 1.7: 24, 30, 34

Section 5.1: 8, 14

Section 5.2: 4, 16

Section 5.3: 2, 4, 10, 12, 14

Section 5.4: 6, 12, 16, 22

Study for the midterm on Tuesday!

Extra Practice Problems (not to be handed in):

Section 5.2: 3, 9, 11, 13, 25

Section 5.3: 3, 9, 11, 15

Section 5.4: 1, 5, 11, 17, 19, 23

Written homework 3 (due Monday April 20):

Section 2.4: 4, 18 b, c, d

Section 2.5: 20

Section 3.1: 12, 14, 18 (see maple notes below for 12 and 14) You will have to use Maple for some ofthis homework. Here's how to get started:

1) Maple can be downloaded from here . With Maple available:

2)Open maple. Load the plots package using the command with(plots); (note the semicolon). Maple will respond with a list of commands available with this package.

3)Use the help facility to read about the spacecurve command. Try spacecurve([t*cos(t),t*sin(t),t], t=-20..20, thickness=2,numpoints=1000); and experiment with different thicknesses and numpoints and values of t. Click on the graph and move the mouse to view the graph from different perspectives.

4)Use the help to find out about plot3d to get a graph of z=\sqrt(x^2+y^2); note this is half of the surface z^2=x^2+y^2.

Section 3.1: 12, 14 (attach your maple output for both - be sure to clean up your failed attempts and only hand in relevant output).

Section 3.2: 7 (Use maple help to find out about parametric plots. Use maple to graph the curve of question 7 (take a=2). Note the symmetries of the graph. Then do the rest of the question.)

Written homework 2:

Section 2.2: 10, 13, 42

Section 2.3: 20 (find the gradient as well), 24, 26, 30, 37 (use the derivative at (1,2,2)).

Written homework 1:

This homework is mainly review of material from Math 8.

Section 1.2: 16 (both the parametric and the cartesian equation)

Section 1.4: 24

Section 1.5: 14

Section 2.1: 12, 8

Section 2.3: 18, 38 (take n=2)