Welcome to Math 126 B, Winter 2004

(last updated 3/9/2004) New!

Bring a picture ID to the final exam. One sheet of 8.5" by 11" sheet of handwritten notes, 2 sided, is allowed for the final exam.
Some HW 9 answers are posted below.
Midterm 2 solutions (updated on 3/4) are posted below.
Final exam is on Saturday, March 13, 1:30-4:20, in KNE 210. If you have a time conflict with it, you need to petition Math Student Services (Padelford C-36) before Friday, February 20. See Ground rules for calculus common finals
Extra review session on Mondays, 3:30-5 in MLR 302B
Office hour changed to Wed, 2:30-3:30.

What and Why?

Math 126 is the third installment of the first-year calculus triology at UW. In 125, we saw differential equations, which arise from modeling physical phenomenon such as weather, population growth, fluid flow, flight, etc. We solved some very special cases of differential equations. In 126, we study representation of functions (of one variable) as series (basically a polynomial but with infinite number of terms), which is useful for representing and calculating the solutions of differential equations. Also, in 124, 125, the functions have only one independent variable. In 126, we will study functions that have two or more independent variables. For example, quantities in the physical world are often functions of 3-D coordinates in space and time. Such a function has four independent variables.

Where and When?

On Mondays, Wednesdays, Fridays, we will meet in lectures (about 160 students) to learn general concepts. On Tuesdays and Thursdays, you will meet with your TA in smaller quiz sections (about 40 students) to practice problem solving. The place and time for the lectures and quiz sections are shown below (good luck on finding the rooms!)
I will arrange for extra review sessions on Mondays (starting Jan 12) at 3:30-5:00 in MLR 302B to review materials and answer your questions.

Lecture Section	M, W, F	Quiz Section	T	Th
B	1:30-2:20 SAV 239
		BA	1:30-2:20 AND 010	1:30-2:20 AND 010
		BB	2:30-3:20 AND 010	2:30-3:20 AND 010
		BC	1:30-2:20 MOR 230	1:30-2:20 MOR 230
		BD	2:30-3:20 MOR 230	2:30-3:20 MOR 230

Who?

Instructor: That's me, Paul Tseng (Office: Padelford C-344; Email: tseng@math.washington.edu). I have been on the UW faculty since 1990--seems like a long time ago. You can click on my name to learn more about me.

Teaching Assistants: They are graduate students dedicated to your success and happiness--well, almost...

Venkat Krishnan

Micah Warren

Course Information

Information about grading is given in the Course syllabus (126 B syllabus (pdf) ) , which is also handed out on the first day of class. Replies to FAQ will be posted here.

Textbook: Calculus: Early Transcendentals , 5th edition (or Multivariable Calculus: Early Transcendentals , 5th edition) by James Stewart (available from the University Book Store).
What to do if you have 4th edition? The only real difference between the 4th edition and the new 5th edition is in the homework exercises. The titles of all sections of the 4th and 5th editions are the same (except that Secs 10.2, 10.3 in 4th ed are combined to form Sec 10.2 in 5th ed ). Page numbering has slightly changed. To accomidate students who may already have the 4th edition, we have a one-year agreement with the publisher to make available, on-line, all homework problems from the 5th edition. The homework can be accessed from this webpage: HW problems from 5th edition

Math Study Center in CMU B-014 (M-Th 9:30am-9:30pm, Fri 9:30am-1:30 pm, Sun 2:00pm-6:00pm) is a friendly place for studying math, getting assistance on problems, and exchanging ideas with other students. It's not a tutoring center in the traditional sense. It has on staff a number of tutors (both graduate student TA's and advanced undergraduates) who will sit down with students to help them get unstuck or to answer questions. It does NOT provide long blocks of uninterrupted one-on-one tutoring. Textbooks, calculators and other study materials are available to be checked out for in-room use. The Math Study Center provides services for students in Math 111/2, 120, 124/5/6 and 144/5/6 only.

Prerequisites for Math 126
- Math 124-125 or their equivalent. Knowledge of derivatives/integrals is essential. Experience with sketching curves and surfaces in 3-dimensional space is helpful.

Class & Quiz/Exam Schedule

Week	Section	Topics	Comment
1	Overview, 11.1	Sequences
	11.2	Series
	11.3	Integral Test and Estimates of Sums
2	11.4	Comparison tests	Quiz 1 on Th, 1/15 covers 11.1--11.3
	11.5	Alternating Series
	11.6	Absolute Convergence and Ratio/Root Tests
3	11.7	Strategy for Testing Series	Quiz 2 on Th, 1/22 covers 11.4--11.6
3	11.8	Power Series	Quiz 2 on Th, 1/22 covers 11.4--11.6
4	11.9	Functions as Power Series
	11.10	Taylor Series, Review weeks 1-4
	12.1	3-D Coordinate System
5	12.2	Vectors	Midterm 1 on Wed, 2/4 covers 11.1--11.10
		Midterm 1
	12.3	Dot Product
6	12.4	Cross Product	Quiz 3 on Th, 2/12 covers 12.1--12.3
	12.5	Equations of Lines and Planes
	10.1	Curves defined by Parametric Equations
7	10.2	Tangents and Areas	Quiz 4 on Th, 2/19 covers 12.4,12.3,10.1
7	10.2 (10.3 in 4th ed)	Arclength and Surface Area, Review weeks 5-7	Quiz 4 on Th, 2/19 covers 12.4,12.3,10.1
8	13.1	Vector Functions and Space Curves	Midterm 2 on Fri, 2/27 covers 12.1--10.2
	13.2, 13.3	Derivatives and Integrals, Arc Length and Curvature
		Midterm 2
9	13.3	Curvature, Normal Vector, Normal/Osculating Planes
	13.4	Motion in Space: Velocity and Acceleration (omit Kepler's laws)
	14.1	Functions of Several Variables
10	14.3	Partial Derivatives (omit partial diff. eq.)	Quiz 5 on Th, 3/4 covers 13.1--13.3 (no normal, binormal, osculating plane)
	14.4	Tangent Planes and Linear Approximations
	Review
		Final Exam	Saturday 3/13, 1:30-4:20 KNE 210

Thu, Jan 15 Quiz 1.
Thu, Jan 22 Quiz 2.
Wed, Feb 4 1st Midterm.
Thu, Feb 12 Quiz 3.
Thu, Feb 19 Quiz 4.
Fri, Feb 27 2nd Midterm.
Thu, Mar 4 Quiz 5.
Sat, Mar 13 Final Exam 1:30-4:20.

Notes and Comments
- Calculator will not be allowed during exams and quizzes, unless otherwise specified. You may bring to the final exam one 8.5" by 11" sheet of handwritten notes (written on both sides, if you wish). Also, bring your student I.D. A sheet of notes will not be permitted during the weekly quizzes and the midterm exams, unless otherwise specified. See Ground rules for taking common calculus final for more information.

Old Midterms and Final Exams
For more old exams and quizzes, see 126 materials website . [This site is still under construction.]
Midterm Solution

Homeworks
The homework schedule is shown below. [The problems are from the 5th edition of Stewart: HW problems from 5th edition.] Next to each homework is posted some comments about the homework. Due to the large size of the class, only a subset of assigned homework problems will be collected (during quiz section or lecture) and graded. Still, it's vital that you can solve all assigned homework problems since the exam and quiz questions will be patterned after the homework problems. Late homeworks will not be accepted. Answers to selected problems are posted. However, no worked solution is posted due to concerns about them getting circulated to other classes. Either the TAs or I will be happy to discuss with you the detailed solution to specific problems.

Math 126 B Hmwk Schedule

HW #1 (Comments,
answers) Due Tuesday, 1/13

Sec 11.1, #17,19,21,25,26,32,34,49,52(b),58 (not to turn in: 22,24,62)

Sec 11.2, #9,11,13,17,19,27,49,52(a)(b),61,62

Sec 11.3, #2,3,5,7,15,21,37

HW #2 (Comments,
answers )
Due Tuesday, 1/20

Sec 11.4, #6,11,12,15,19,25,31,38,43 (not to turn in: 8,17)

Sec 11.5, #2,3,10,14,16,17,18,24,25,32 (not to turn in: 8,9)

Sec 11.6, #6,7,14,18,19,20,22,24,27,31 (not to turn in: 9,11,13)

HW #3 (Comments,
answers) Due Tuesday, 1/27

Sec 11.7, #8,15,21,22,23,27,30,36 (not to turn in: 17,25,37)

Sec 11.8, #12,13,16,18,19,21,29,30 (not to turn in: 26,27)

HW #4, answers
Due Friday, 1/30, 8PM

Sec 11.9, #6,9,12,13,14,24,25,32 (not to turn in: 8,15,35)

Sec 11.10, #13,14,16,26,29,42,55,56 (not to turn in: 11,39,47)

HW #5 (Comments,
answers) Due Tuesday, 2/10

Sec 12.1, #7,8,10,11,13,18,40 (not to turn in: 3)

Sec 12.2, #18,19,23,25,29,32,33 (not to turn in: 5)

Sec 12.3, #15,18,36,40,47,48,51,52 (not to turn in: 37)

HW #6 (Comments,
answers)
Due Tuesday, 2/17

Sec 12.4, #6,10,12,24,26,31,37,39 (not to turn in: 9,15,38)

Sec 12.5, #1,4,8,21,30,33,36,39,48,56,68 (not to turn in: 16,19,27,44,61)

Sec 10.1, #10,12,15,28,31,33,36,44(a)(c)

HW #7 (Comments,
answers) Due Tuesday, 2/24

Sec 10.2, #5,8,13,18,29,30,33,36(a)(b), 41,44,51,54,60,65,69

HW # 8 (answers) Due Tuesday, 3/2

Sec 13.1, #19,23,24,25,34 (not to turn in: 26)

Sec 13.2, #10,18,19,23,24

Sec 13.3, #2,4,11,14

HW #9 (Comments,
answers) Due Tuesday, 3/9

Sec 13.2, #35,36

Sec 13.3, #19,24,40,41,55 (not to turn in: 28)

Sec 13.4, #6,13,16,19,20,23,25,34 (not to turn in: 14, 39)

Sec 14.1, #30,36,37,38,43,45,53,58,60 (not to turn in: 31, 59)

Sec 14.3, #3,8,14,17,26,27,36,37,38,77 (not to turn in: 5,76)

Sec 14.4, (not to turn in: #1,5,17,19)

Study Suggestions
The course goes at a brisk pace, but you can stay on top of it by reviewing the course material frequently and start working on homeworks early. Try studying in groups at the Math Study Center. Don't be discouraged if you get stuck, especially on the multi-step problems and story problems. Work on other problems and come back to it later. For you social types, please refrain from disturbing your classmates during lectures or quizz sections by talking loudly or arriving late or leaving early.

Math 126 B Hmwk Schedule
HW #1 (Comments, answers)	Due Tuesday, 1/13
Sec 11.1, #17,19,21,25,26,32,34,49,52(b),58 (not to turn in: 22,24,62)
Sec 11.2, #9,11,13,17,19,27,49,52(a)(b),61,62
Sec 11.3, #2,3,5,7,15,21,37
HW #2 (Comments, answers )	Due Tuesday, 1/20
Sec 11.4, #6,11,12,15,19,25,31,38,43 (not to turn in: 8,17)
Sec 11.5, #2,3,10,14,16,17,18,24,25,32 (not to turn in: 8,9)
Sec 11.6, #6,7,14,18,19,20,22,24,27,31 (not to turn in: 9,11,13)
HW #3 (Comments, answers)	Due Tuesday, 1/27
Sec 11.7, #8,15,21,22,23,27,30,36 (not to turn in: 17,25,37)
Sec 11.8, #12,13,16,18,19,21,29,30 (not to turn in: 26,27)
HW #4, answers	Due Friday, 1/30, 8PM
Sec 11.9, #6,9,12,13,14,24,25,32 (not to turn in: 8,15,35)
Sec 11.10, #13,14,16,26,29,42,55,56 (not to turn in: 11,39,47)
HW #5 (Comments, answers)	Due Tuesday, 2/10
Sec 12.1, #7,8,10,11,13,18,40 (not to turn in: 3)
Sec 12.2, #18,19,23,25,29,32,33 (not to turn in: 5)
Sec 12.3, #15,18,36,40,47,48,51,52 (not to turn in: 37)
HW #6 (Comments, answers)	Due Tuesday, 2/17
Sec 12.4, #6,10,12,24,26,31,37,39 (not to turn in: 9,15,38)
Sec 12.5, #1,4,8,21,30,33,36,39,48,56,68 (not to turn in: 16,19,27,44,61)
Sec 10.1, #10,12,15,28,31,33,36,44(a)(c)
HW #7 (Comments, answers)	Due Tuesday, 2/24
Sec 10.2, #5,8,13,18,29,30,33,36(a)(b), 41,44,51,54,60,65,69
HW # 8 (answers)	Due Tuesday, 3/2
Sec 13.1, #19,23,24,25,34 (not to turn in: 26)
Sec 13.2, #10,18,19,23,24
Sec 13.3, #2,4,11,14

HW #9 (Comments, answers)	Due Tuesday, 3/9
Sec 13.2, #35,36
Sec 13.3, #19,24,40,41,55 (not to turn in: 28)
Sec 13.4, #6,13,16,19,20,23,25,34 (not to turn in: 14, 39)
Sec 14.1, #30,36,37,38,43,45,53,58,60 (not to turn in: 31, 59)
Sec 14.3, #3,8,14,17,26,27,36,37,38,77 (not to turn in: 5,76)
Sec 14.4, (not to turn in: #1,5,17,19)

Math Quotes

If it's incomprehensible, it's mathematics. -- Bennett Cern

I protest against the use of infinite magnitude ..., which is never permissible in mathematics. -- Carl Friedrich Gauss

And for mathematical science, he that doubts their certainty hath need of a dose of hellebore. -- Joseph Glanvill

an excessive study of mathematics absolutely incapacitates the mind... -- Sir William Hamilton

Round numbers are always false. -- Samuel Johnson

If I had inherited a fortune I should probably not have cast my lot with mathematics. -- Joseph-Louis Lagrange

In my free time I do differential and integral calculus. -- Karl Marx

How is error possible in mathematics? -- Henri Poincare

Do I contradict myself? Very well then I contradict myself. -- Walt Whitman

UW Math Department

American Mathematical Association