Math 126 Autumn 2012 Section C

 

Instructor

 

 

Ebru Bekyel

contact

Office hours: MWF 10:30-11:20 in PDL-C 422.

 

Teaching Assistants

 

 

Andrey Sarantsev

Sections CA and CB

Office Hours: Tu 1:30 – 3:30 at the MSC

Riley Casper

Sections CC and CD

Office Hours: TBA at the MSC

For the times and places of the sections see the schedule.

Textbook

Calculus, Stewart, Custom edition (7th edition) for UW, Volume 2, available in the University Bookstore. It is the second half of Calculus, Early Transcendentals, 7th edition. You will also need to purchase a Webassign access code for your homework assignments. If you have a LOE access code for the 6th edition, you need to send me an email with your name, student number and UWNetID so I can get you an upgrade to 7th edition.The access code purchase comes with an electronic version of the book. You do not have to purchase the hard copy if you do not want to. Click here for more information. For the last two weeks, we will follow Taylor Notes.

Grading

There will be two midterms, one final exam, homework assignments and quizzes. The midterms are 25% each, the final is 35%, the homework assignments 10% and the quizzes are 5% of your total grade. Late homework is not accepted. There are no make ups for quizzes.

Week at a glance

Lectures are on MWF.

Tuesday and Thursday quiz sections are for discussing problems. Tuesdays will be mostly homework problems. You should go to quiz sections prepared to ask and answer questions. There will also be quizzes on most Thursdays. I will announce the topic in lecture on Wednesdays if you remind me. The homework assignments are due on Tuesdays by 11PM. You will submit your assignments online through webassign.

 

 

Week

Week of

Announcements

1

09/24

Sections 12.1,12.2, 12.3

Welcome to Math 126!

The Math Study Center is a great place to do your homework.

You can follow your quiz and exam grades from https://catalyst.uw.edu

2

10/01

Sections 12.4, 12.5, 12.6

Homework #1 due Tuesday 10/02 by 11 PM. Weekly assignments are divided into sections. It is a good idea to do each section’s homework after the relevant lecture. Make a note of the problems you had trouble with and ask them during quiz sections.

On most problems 5 tries are allowed. On multiple choice questions and True False questions you get fewer tries.

Confused about the three different equations of lines? Check out this page.

Visual aids for Section 12.6 and more

For quadratic surfaces (and for later sections), there are tools in your ebook in webassign to help you visualize the shapes. Use these to study but remember these tools won’t be available to you on exams. You should be able to make your own sketches when necessary.

 

A pink TEC link in the ebook is a tool of the textbook’s publisher.

Traces of surfaces shows you the traces of the quadratic surfaces and allows you to move the planes. In particular, in the hyperboloid of one sheet you can see how the hyperbolas change when n>1 or n<1.

In Quadratic Surfaces you can see the stretches and compressions of the shapes in the x, y and z directions by varying the a, b, and the c in the denominators.

 

A red triangle/star is a tool from Wolfram. This second one requires you to install something in your computer. Here is one where you can see traces (intersections of the surfaces with planes) where you are also allowed to change the a and the b in the equation.

3

10/08

Sections 12.6, 10.1, 13.1, 10.2, 13.2

4

10/15

Section 10.3, midterm review, Section 13.3

Midterm 1 Thursday 10/18

Here is a midterm review sheet to help you plan your study. Here are some midterm practice questions and their answers.

Here is my exam archive

Prior to Winter 2009 we used to do Taylor series and polynomials at the beginning of Math 126, now we do them at the end. So the earlier first midterms will have Taylor questions and not much material from Chapter 13.

There is a CLUE review on Wednesday, October 17th, from 6:30 -8:00 in MGH 251.

5

10/22

Last day to file a petition for an alternative final exam is Friday 10/26

Sections 13.4, 14.1, 14.3

Webassign note: If you select a choice for a multiple choice question, do not submit the answer, save your work, come back and change the answer without re-saving, and then submit, the system will take the SAVED answer rather than the option you changed TO. You should resave before you submit if you make any changes to a multiple choice problem after saving your work.

 

Here is an animation showing how the normal and osculating planes of a helix change as you move along.

 

The exercises below are optional:

 

If you want to prove that the two formulas for curvature are the same, here are some hints on how to go about that. When you are done, you can compare your proof with mine. You can also read the proof in the text.

 

If you want to give the vector equation of the osculating circle a try here are two hints:

1.    If the center of the circle is at C and the point of tangency is P, then the vector from P to C is parallel to the unit normal and its length is the radius of the circle. So where is the center (as a vector function of t)?

2.    Think of the unit circle equation as r(t)=cos(t)i+sin(t)j. In the osculating circle, the i and j are replaced by N and T. Don’t forget to put the radius into the equation.

Now, try your ideas on the helix r(t)=<tcos(t),tsin(t),t> at the point t=π/2.

 

6

10/29

Sections 14.4, 14.7

Section 14.7 assignment is due on Wednesday. I will finish my optimization problem in class on Monday. Section 14.4 assignment is still do on Tuesday.

7

11/05

Sections 15.1, 15.2, 15.3

Confused about curves, surfaces, derivatives, integrals, single and multi-variable calculus? Here is a page that summarizes what we talked about. You can also see how Math 126 topics relate to what you learned earlier in single variable calculus.

Here are some Midterm 2 review questions. Most have answers. Note that there are no questions from Chapter 15.

8

11/12

No class on 11/12

midterm review, Section15.4

Midterm 2 on Thursday 11/15
The exam covers up to and including Section 15.3.

You can use a scientific calculator and a single sided letter size handwritten sheet of notes. Graphing calculators and programmable calculators are not allowed.

There is a CLUE review on Wednesday, November 14th, from 8:00 -10:00 in MGH 295.

http://coolrain44.files.wordpress.com/2009/11/thanksgiving-charlie-brown-snoopy.jpg?w=135&h=101

11/19

No class on 11/23

15.5, Taylor Notes Section 1

There are more Taylor questions in the textbook. Read this note before you look at the textbook.

10

11/26

Taylor Notes 2-5

11

12/03

Taylor Notes 5, final review
There is a CLUE review on Friday, December 7, from 7:00 -9:00 in MGH 241.

 

http://t2.gstatic.com/images?q=tbn:ANd9GcRNgozQQ2eASOBsRAkff9Bi2trpmfvTjEgwXf5ey8Zo-_DgL1i2

Final Exam on Saturday 12/08 from 1:30 to 4:20 in KNE 110