Math 126 B and C: Spring 2013

Lecturer:

Dr. Andrew D. Loveless
aloveles@math.washington.edu
Office: Padelford C-339
Office hours: Click Here

TAs:

Leonard Wong (BA, BB)
wongting@uw.edu

Hailun Zheng (BC, BD)
hailunz@math.washington.edu

Clayton Barnes (CA, CB)
clayton.barnes@math.washington.edu

Exam dates:

Midterm 1: Thursday, April 25
Midterm 2: Tuesday, May 21

Midterms are given in your normal quiz section. Please read the syllabus for Midterm rules. Make-up midterm exams will not be given for any reason.

Final Exam Details

Final exam: Saturday, June 8
Time: 1:30-4:20
Location: Kane 130

Old Exams and Course Material:

Math 126 materials website (Contains Old Exams and Course Material)

Old Exam 1 Archive

Old Exam 2 Archive

Final Exam Archive

Additional Recent Exam Archive I created a couple years ago

Exam Correspondence Sheet for material from middle part of course

A note to Math 126 Students (Please Read)

Welcome!

Announcements:

• Announced 5/30/2013: Here is a long list of material that should help you with the homework and reviewing for the final.
  • Final Exam Checklist of Topics.
  • 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.
  • Taylor Series Quick Summary Sheet.
  • Taylor Polynomial/Final Review Worksheet which contains a list of practice problems and here are the solutions to problems 1-13 and solutions to problems 14-23.
  • 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.
  • 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 5/24/2013: Here are some postings on Taylor Polynomials and Taylor Series:
  • Here is a detailed Overview of Taylor Notes 1, 2, and 3.
  • Here is a detailed Overview of Taylor Notes 4 and 5.
  • 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.
• Announced 5/22/2013: Here are solutions to the second midterm:
  • Solutions for Math 126 B Midterm 2.
  • Solutions for Math 126 C Midterm 2.
• Announced 5/20/2013: Here is the Quick Review for Exam 2 that I gave to today at the begining of lecture.
• Announced 5/13/2013: 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.
  • Here is a compilation of old exam problems and solutions.
  • Here is the Old Exam 2 Archive. Also here is an additional archive of old exams. Also, here is a sheet that helps organizing your studying by topic.
• Announced 5/10/2013: Please check out the following postings:
  • Here are some overheads from lecture that review integration
  • Here is the most updated list of integrals we know in one step. These integrals, and only these integrals, are the ones you can quote and use in one step on the tests, all other integrals require that you show work.
  • A full review of integration techniques from Math 125.
  • A flowchart summarizing integration techniques from Math 125.
  • Here are 24 very basic integrals that should all be quick and easy for you (they only require simplification or substitution along with the basic integrals). And here are the solutions (although you shouldn't need them because you should know how to check your work).
  • Here are 7 basic practice problems and 5 challenge problems concerning only integration by parts along with full worked out solutions to the first seven and solutions to the 5 challenge problems. PLEASE, PLEASE, PLEASE attempt these integrals for practice! Even if you feel comfortable with by parts, you still need to practice so that these calculations become routine.
  • Here are 12 integrals to practice that use the other methods of integration (solutions are included). I notice that I have an error in my solution to 12 (The A and C are wrong), but rather than fix the error, I'll leave it and see if you can figure out where the error is and do the problem correctly.
  • Here is a compilation of old exam problems and solutions. (Problems 14 and 15 are from 15.5 which won't be covered on our second exam).
  • 15.1 and 15.2 Review.
  • 15.3 and 15.4 Review.
• Announced 5/8/2013: More review and course materials:
  • Here is an overview of max/min facts from calculus 1 and calculus 3.
  • 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.
  • 14.7 Lecture Overheads.
  • 15.1 Lecture Overheads.
  • More 15.1 Lecture Overheads.
• Announced 5/1/2013: Here are some overheads and review sheets:
  • Partial Derivatives Examples and a Review of Derivative Rules (including implicit differentiation).
  • 14.3 Review
  • 13.3, 13.4, and 14.1 Review.
  • 14.1 Lecture Overheads.
  • 14.3 Lecture Overheads.
  • 14.4 Lecture Overheads.
• Announced 4/29/2013: Here are solutions to midterm 1 (grades will be up by Friday).
  • Solutions for Math 126 B Midterm 1.
  • Solutions for Math 126 C Midterm 1.
  • Also check out the overheads from today's lecture here.
• Announced 4/26/2013: Here is a 13.3, 13.4 and 14.1 Review
• Announced 4/22/2013: Please check out the following:
  • Here are the lecture notes from Monday on polar and 13.2/13.3.
  • Here are some Review Overheads which will be used during review next week (the exam covers 12.1-12.6, 10.1-10.3, 13.1-13.2 and 13.3(curvature only) so ignore any reference to other material from 13.3 or 13.4 in the notes).
  • Here is a copy of some basic review lecture notes for exam 1 (the exam covers 12.1-12.6, 10.1-10.3, 13.1-13.2 and 13.3(curvature only) so ignore any reference to other material from 13.3 or 13.4 in the notes).
  • Here is the Departmental Old Exam 1 Archive. And here is an Exam Archive that I put together a few years ago.
• Announced 4/17/2013: Please check out the following postings:
  • Please check out my notes on the homework for 10.1/13.1 and 10.2/13.2.
  • Here is a Fact Sheet about Calculus on 3D Parametric Curves (some of this is ahead of us in the material, but I wanted to give you one summary sheet or all our facts about curves).
  • 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 4/15/2013: Please check out the following postings:
  • Lecture overheads used for 13.1
  • Some lecture notes summarizing 12.6
  • Basic Quadric Surfaces.
  • 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.
• Announced 4/8/2013: Here are some materials for lecture and 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.
  • Overview of basic facts from 12.5, 12.6, 10.1 and 13.1 review.
  • 12.5 (Lines and Planes) material:
    • Summary Overheads for Finding Lines and Planes
    • Practice Problems and solutions for finding lines and planes.
  • 12.6 (Basic 3D surfaces) material:
    • Some lecture notes summarizing 12.6.
    • Basic Quadric Surfaces.
    • Some 12.6 Lecture Overheads.
    • A very brief visual and summary of conic sections followed by the graphs of hyperbolas: 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 4/3/2013: 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 3/22/2013: 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, 7th Edition, by Stewart). You may prefer to buy this as an eBook bundled with your homework access code. You will complete homework through an online website called webassign. If you have NOT used webassign with this book, then you must purchase an access code. The least expensive way to do this is to get the departmental negotiated rate through this website: http://www.cengagebrain.com/micro/uwmathcalc. For $70, you will get the access code (which is good for Math 124, 125, 126, and 324) and the eBook. If you have already used webassign with this book (perhaps you took Math 125 at UW) and purchased a lifetime of edition code, then you can just log in and you should see the class and the assignments. During the first two weeks, you can log into webassign as a guest. You are welcome to do this if you are still evaluating the class. But if you intend to take the course you should purchase the access code as soon as possible.
  • Your first homework assignment will be visible the first day of class. Most assignments will be due on the Wednesday of the week after they appear (typically about 10 days after they first become visible). The most accurate due dates can be seen on webassign.
  • In Math 125, each assignment is broken into parts (Labeled by the section they correspond to in the book). This is for your convenience in breaking up your work, but all parts for a given week will be due at the same time.
  • Log in to webassign to see this and all subsequent homework assignments. (How To Use Webassign)
  • Once you type in an answer for a particular problem (or part of a problem) on webassign, a submit button appears. You submit one problem (or part of a problem if you like) at a time and your points for that problem are stored as part of your total score. You are allowed 5 attempts at each answer in Webassign (except for T/F and multiple choice questions, for which you are typically allowed one try).
  • More general information about the course can be found here.

Essential Resources:

Homework (WebAssign)

Taylor Notes

Math 126 B Course Syllabus

Math 126 C Course Syllabus

Course Calendar

Grades

Grading Scale


Write Up 1 Solutions (Honors Only)

Worksheets

Worksheet 1
Solutions

Worksheet 2a
Solutions

Worksheet 2b
Solutions
(My solutions to Worksheet 2b have an error in 1(c), it should be FALSE. consider the xy-plane, xz-plane, and yz-plane as a counterexample).

Worksheet 3
Solutions

Worksheet 4

Supplemental Review Material

12.1-12.4 Review

Calculus I Review

Calculus II Review (Part 1)
Calculus II Review (Part 2)

12.5, 12.6, 10.1, 13.1 Review

Flowchart for Finding Lines and Planes

Line/Plane Practice Problems

12.6 Summary and Tables

10.2, 10.3, 13.2 Review

Polar Coordinates Basics

Fact Sheet about Calculus on 3D Parametric Curves

13.3, 13.4 and 14.1 Review

14.3 Review

14.4 and 14.7 Review

15.1 and 15.2 Review

15.3 and 15.4 Review

Dr. Loveless Math 124 Review and Reference Material Archive

Dr. Loveless Math 125 Review and Reference Material Archive

Other UW resources:

Math Study Center

Center for Learning
and Undergraduate
Enrichment (CLUE)

Student Counseling Center

Information for Students
of International TAs