Welcome!

Most course materials can be found at the right of the page. If you have a question, please contact me or your TA, directly or by e-mail. Math 126 c is the honors section of Math 126. Occasionally a posting or assignment on this site will be for Math 126 C only. When this is the case, it will be clearly indicated.

Announcements:

Announced 6/1/2010: Please check my previous announcement below for exam review material. In addition, let me add the following:
- The last worksheet you did on Thursday, contain a long list of old final questions. I wrote up full solutions over the weekend, here they are (I broke the solutions into two documents due to their size):
  - Solutions to problems 1-13.
  - Solutions to problems 14-23.
- Also here is a Final Exam Checklist of Topics which you can use (along with the other posted review materials) to help organize your studying.
Announced 5/27/2010: Here are my review notes from class. I broke them into three separate documents:
- Final Review Lecture Notes for Ch. 13, 14 and 15.
- Final Review Lecture Notes for Ch. 10 and 12.
- Final Review Lecture Notes for the Taylor Notes.
- And remember that any and all of the exams in the math department old 126 final archive are good to study.
- Also note that my recent exam archive contains a few more exams with solutions along with some old midterms that cover Taylor series with solutions.
Announced 5/25/2011: There seems to be some interest from students in general concepts of convergence for sequence and series (not just Taylor series), so here is a quick discussion of convergence with an emphasis on "error" for general sequence and series that may help you sort out some of your confusions (this is not material for the exam, it is just for your own interest).
Announced 5/20/2011: Here is the Taylor Polynomial/Final Review Worksheet for May 26th, please print it off and bring it to quiz section on Thursday.
Announced 5/18/2011: Solutions for Exam 2 are below. The catalyst gradebook will have updated grades by Friday.
Here are several other helpful postings:
- Taylor Notes
- Here is a Long Example of Standard Taylor Series Questions. It contains 6 fundamental types of questions which thoroughly review what we have done. I spotted a typo (I am looking for the originals to fix it, but haven't found them yet). TYPO: The third, fourth and fifth derivatives have obvious errors in their computation. This does not change the process, but it does change the values of M and the errors at these steps. I encourage you to correctly compute the third, fourth, and fifth derivatives and find the resulting errors.
- Here is a detailed Overview of Taylor Notes 1, 2, and 3.
- Here is a detailed Overview of Taylor Notes 4 and 5.
Announced 5/13/2011: For Tuesday, May 17th, please print off and bring the following worksheet: Center of Mass/Tangent Line Worksheet for May 17th (Note that you will not be expected to do 3(d) and 3(e) in quiz section on Tuesday, but your TA will introduce the basic idea for those parts which will give you a preview of what we will be doing in lecture on Wednesday and Friday).
Announced 5/4/2011: Here are some review materials and lecture overheads that you may find useful as exam 2 approaches:
- Some Overheads that Review the material for Exam 2.
- 15.1 and 15.2 Review.
- 15.3 and 15.4 Review.
- A full review of integration techniques from Math 125
- A flowchart summarizing integration techniques from Math 125
- Here is the Recent Exam Archive that I compiled for you. Also here is an Exam Correspondence Sheet for Exam 2 which I created last year (when we had just switch the order of presentation of material). This is less of an issue now since there are several exams exams from the last year in my archive that match the material coverage, but you can check it out anyway.
- There are more exams in the departmental exam archives: Second Exams from 2008 or before will contain a lot of exam 1 material and will be missing some exam 2 material.
- Some overheads for:
  - 15.1 Lecture Overheads
  - More 15.1 Lecture Overheads
Announced 4/29/2011: Here are a couple more review sheets:
- Partial Derivatives Examples and a Review of Derivative Rules (including implicit differentiation).
- 14.4 and 14.7 Review: (TYPO NOTE: A couple students noted the obvious typo in the very last line of this review, it should read that the absolute minimum is at f(1,0) = -2/3). In addition to summarizing the material, this review sheet contains a fully worked out linear approximation example, a fully worked out differentials example, a fully worked out critical points example and a fully worked out max/min example. I hope these extra examples help to supplement the textbook and lecture.
Announced 4/24/2011: Please print off this weeks worksheet (for April 28th) and bring it to quiz section on Thursday. Also, here are Exam 1 solutions (statistics and grades will be posted by the end of the week):
- Lecture A Exam 1 Solutions
- Lecture B Exam 1 Solutions
- Lecture C Exam 1 Solutions
- Some overheads for:
- If you missed it here are:
  - 13.3, 13.4, and 14.1 Review
  - 14.3 Review
Announced 4/14/2011: Please let me draw your attention to some exam studying materials:
- Here are some Review Overheads which will be used in Wednesday's lecture.
- Here is a Fact Sheet about Calculus on 3D Parametric Curves.
- Here is a copy of some basic review lecture notes for exam 1 (the exam covers 12.1-12.6, 10.1-10.3, 13.1-13.3, so ignore any reference to 13.4 in the notes).
- Here is a Recent Exam Archive that I compiled for you.
- There are more exams in the departmental exam archives: First Exams from 2008 or before contain questions about Taylor series which we have not discussed yet (such questions will not be on our first exam).
- Here is an 13.3, 13.4, and 14.1 Review: The first midterm will cover material up to 13.3.
Announced 4/11/2011: Here are some review and lecture materials:
- A 10.2, 10.3, 13.2 Review : I think this has some helpful summaries, so please look through it and use it as reference.
- Lecture overheads used for 13.1
- A basic polar coordinate overview.
- Here are several versions of catesian and polar graph paper for your convenience:
  - Median Sized Polar Graph Paper
  - Large Sized Polar and Cartesian Graph Paper and Overlay
Announced 4/6/2011: Here are some materials from lecture:
Announced 4/1/2011: Here are a couple supplemental postings:
- Overview of basic facts from 12.5, 12.6, 10.1 and 13.1 review.
- a small discussion of basic physics/vector examples: Some of you expressed extra interest when I mention these ideas in class. I think it is good for everyone to read so that you have even more physical examples to help you better understand the vector operations we've defined.
- A very brief visual and summary of conic sections followed by the graphs of hyperbolas (word document): It would be good to look at this before section 12.6.
- An old worksheet that discusses ellipses and hyperbolas and an old worksheet about hyperbolas and 3D graphs. Try working through these if you are unfamiliar (or rusty) with the equations for hyperbolas and ellipses (or if want to know more about them). These were written by Prof. Don Marshall.
Announced 3/28/2011: Here are several review postings that I hope you find useful:
- Overview of basic facts from 12.1, 12.2, 12.3, and 12.4
- A review of basic calculus 1 facts.
- A review of Calculus 2: Foundations of Integration and Volumes and Calculus 2: Integration Techniques.
Announced 3/22/2011: Welcome to Math 126. This webpage contains the course syllabus, the homework schedule, a course calendar and links to Math 126 material. Throughout the quarter I will also be posting review sheets and announcements. Please check back regularly. For now, you should get the required texts which include:
- Multivariable Calculus, by James Stewart (this is a custom text for UW -- you may also use Calculus: Early Transcendentals, 6th Edition, by Stewart)
- Taylor Notes (available to print off from my website, or directly at http://www.math.washington.edu/~m126/TaylorNotes.pdf.)
- Your first homework assignment is due at 11:00 p.m. on Tuesday, April 5th. The assignment should be visible to you on the first day of class. Log in to Webassign to see this and all subsequent homework assignments.
  You'll need an access code for Webassign in order to get the homework. You can purchase a code in three ways:
  - bundled with the textbook at the University Bookstore.
  - bundled with an electronic copy of the textbook here; or
  - all by itself here. (This is useful if you've bought a used copy of the text.)
  - For most question in webassign, you are allowed 5 attempts at each answer in Webassign (except for T/F and multiple choice questions, for which you are allowed one try).
  - Please log-in to webassign as soon as possible in the first week of class, so that you can add yourself to the class roster.

Math 126 A, B and C: Spring 2011

Lecturer:

TAs:

Exam dates:

Final Exam Details

Welcome!

Announcements:

Essential Resources:

Worksheets

Supplemental Review Material

Old Exams and Course Material:

Miscellaneous/Challenge Material:

Other UW resources: