Math 21B Website

MATH 21B (SECTIONS B01-B05), 2 Wellman, 9-9:50 MWF

Instructor: Dr. D. A. Kouba

Last Updated: February 10, 2003

Text: CALCULUS and ANALYTIC GEOMETRY (5th edition) by Stein and Barcellos

Office: 484 Kerr

Phone: (530) 752-1083

Regular Office Hours: 10:30-11:30 T, 2-3 Th or by appointment

...... MATH21B COURSE GRADES will be posted by Thursday, March 28, 2002 (listed by the last four digits of your student ID number number)

KOUBA OFFICE HOURS	WEDNESDAY, March 13, 2002	12-2 p.m.	484 Kerr
	THURSDAY, March 14, 2002	2-4 p.m.	484 Kerr
	FRIDAY, March 15, 2002	10-11 a.m., 2-3 p.m.	484 Kerr
	MONDAY, March 18, 2002	10-11:30 a.m.	484 Kerr

Here are Math 21B TA OFFICE HOURS for Winter Quarter 2002. These are subject to periodic and unannounced changes.

EXAM DATES :

EXAM 1-- WEDNESDAY, JANUARY 23, 2002
EXAM 2-- FRIDAY, FEBRUARY 15, 2002
EXAM 3-- FRIDAY, MARCH 8, 2002
FINAL EXAM -- TUESDAY, MARCH 19, 2002, 1:30-3:30 p.m. . . . . . in 198 Young

The course will likely cover the following sections in our textbook : 5.1-5.5, 5.7,6.7, 7.1-7.7, 8.1-8.6, 8.8, 9.1-9.4

SOLUTIONS TO ALL HOMEWORK ASSIGNMENTS AND HOUR EXAMS CAN BE VIEWED ON THE INTERNET at Math 21B Homework and Exam Solutions . In addition, you may look at a copy of solutions during my office hours (or appointment) in 484 Kerr.

Here are copies of the Course Syllabus and Supplementary Class Handouts .

Here are copies of Discussion Sheets .

Here are copies of Basic Derivative Formulas From Math 21A .

Here are Practice Exam 1 and Solutions .

Here are Practice Exam 2 and Solutions .

Here are Practice Exam 3 and Solutions .

Click here for additional optional PRACTICE PROBLEMS with SOLUTIONS found at

THE CALCULUS PAGE .

Here are some TIPS for doing well on my exams.

The following homework assignments are subject to minor changes.

HW #1 ..... p. 254: 7-10, 27, 31, 34, 39 and p. 264: 9, 20, 33c, 34
HW #2 ..... p. 275: 2, 5, 7, 31, 33. Use the limit definition of definite integral to compute 1.) through 4.) on homework assignment sheet in syllabus.
HW #3 ..... p. 295: 1-10, 13, 18, 19, 22, 34, 35, 38
HW #4 ..... p. 308: 5-16, 18, 22, 24, 28, 30, 38, 39, 41, 44, 47
HW #5 ..... p. 404: 1-26
HW #6 ..... p. 412: 3, 5, 9, 11, 12, 14, 16, 18, 19, 22, 28, 29, 31-34, 36, 41, 42, 49

EXAM 1 is Wednesday, January 23, 2002. It will cover handouts, lecture notes, and examples from class, homework assignments 1 through 6, discussion sheets 1-3, and material from sections 5.1-5.3, 5.5, 5.7, 7.1-7.2 in the book which was presented in lecture notes through Wednesday, January 16, 2002. A practice exam with solutions is posted on this webpage. MOST of the exam questions will be homework-type, discussion sheet-type, practice exam-type questions.

TYPES OF QUESTIONS FOR EXAM 1 (THIS IS SUBJECT TO UNANNOUNCED CHANGES.).

5 -- antiderivatives (indefinite integrals)
1 -- Mean Value Theorem for Integrals
1 -- limit definition of definite integral
1 -- average value of a function
2 -- properties (e.g., even/odd function) of definite integrals
1 -- write limit as a definite integral
2 -- First Fundamental Theorem of Calculus
1 -- OPTIONAL EXTRA CREDIT

HERE ARE SOME RULES FOR EXAM 1.

1.) No notes, books, or classmates may be used as resources for this exam. YOU MAY USE A CALCULATOR ON THIS EXAM.
2.) You will be graded on proper use of limit notation.
3.) You will be graded on proper use of derivative and integral notation.
4.) Put units on answers where units are appropriate.
5.) Read directions to each problem carefully. Show all work for full credit. In most cases, a correct answer with no supporting work will NOT receive full credit. What you write down and how you write it are the most important means of your getting a good score on this exam. Neatness and organization are also important.

SOLUTIONS TO EXAM 1 ARE POSTED ON THIS WEBPAGE.

THE GRADING SCALE FOR 2002 EXAM 1 IS :

A+ ...... 101 - 108

A ...... 90 - 100

B ...... 80 - 89

C ...... 69 - 79

D ...... 59 - 68

F ...... 0 - 58

HW #7 ..... p. 419: 1, 3, 4, 5, 8, 10, 12, 13, 16, 18, 19, 33, 35, 46
HW #8 ..... p. 427: 1, 3, 6, 8, 10, 11, 14, 18, 20, 21, 22, 24, 33, 37
HW #9 ..... p. 438: 2, 3, 4, 8, 9, 16, 18, 22, 26, 30, 31, 49, 50
HW #10 ..... p. 446: 1, 3, 5, 6, 10-14, 20, 21, 24, 27, 33, 35
HW #11 ..... p. 448: 40-44, 49
HW #12 ..... p. 421: 42, 44 ... and ... p. 405: 28, 29, 35a ... and ... (work out all of the following) p. 454: 3, 5, 10, 13, 16, 18, 20, 21, 23, 29, 32, 33, 39, 40, 42, 45, 49, 58, 68
HW #13 ..... p. 284: 3, 6, 10, 16 ... and ... I.) and II.) on homework assignment sheet in syllabus.
HW #14 ..... p. 375: 1-8, 13, 16, 18, 20, 23, 24, 33
HW #15 ..... (Set up, do not evaluate integrals.) p. 478: 3, 4, 7, 8, 10, 13, 17-19, 22b, 29, 32

EXAM 2 is Friday, February 15, 2002. It will cover handouts, lecture notes, and examples from class, homework assignments 6 through 15, discussion sheets 4 - 7, and material from sections 7.2-7.7, 5.4, 6.7, 8.2 and 8.3 in the book which was presented in lecture notes through Monday, February 11, 2002. A practice exam with solutions is posted on this webpage. You need to memorize formulas for the Midpoint Rule, Trapezoidal Rule, and Simpson's Rule. YOU NEED NOT MEMORIZE the error formulas for each of these three methods. Be able to apply all of the following techniques of integration :

u-substitution
u-substitution and a "back" substitute
integration by parts :
1. more than once
2. twice then algebraically solve
rational functions leading to logs and arctangents
partial fractions
powers of trig functions
power u-substitution
trig substitution, for which you need :
1. 1 - sin^2 W = cos^2 W
2. 1 + tan^2 W = sec^2 W
3. sec^2 W - 1 = tan^2 W

TYPES OF QUESTIONS FOR EXAM 2 (THIS IS SUBJECT TO UNANNOUNCED CHANGES.).

7 -- integration techniques
2 -- estimating the value of a definite integral
1 -- exponential growth
1 -- set up a definite integral using local approximation (No kinetic energy on Exam 2, but could be on Final Exam)
1 -- integral table
1 -- OPTIONAL EXTRA CREDIT

HERE ARE SOME RULES FOR EXAM 2.

1.) No notes, books, or classmates may be used as resources for this exam. YOU MAY USE A CALCULATOR ON THIS EXAM.
2.) You will be graded on proper use of derivative and integral notation.
3.) Put units on answers where units are appropriate.
4.) Read directions to each problem carefully. Show all work for full credit. In most cases, a correct answer with no supporting work will NOT receive full credit. What you write down and how you write it are the most important means of your getting a good score on this exam. Neatness and organization are also important.

SOLUTIONS TO EXAM ARE POSTED ON THIS WEBPAGE.

THE GRADING SCALE FOR 2002 EXAM 2 IS :

A+ ...... 100 - 109

A ...... 83 - 99

B ...... 70 - 82

C ...... 53 - 69

D ...... 42 - 52

F ...... 0 - 41

HW #16 ..... (Evaluate integrals.) p. 466: 7, 10-13, 17, 20, 21, 26, 27, 29, 30 ... and ... p. 472: 10 (Set up, do not evaluate two integrals for volume.)
HW #17 ..... (Set up, do not evaluate integrals.) p. 485: 3, 5, 7, 8, 15-17, 24
HW #18 ..... (Evaluate integrals.) p. 485: 9-14, 21-23
HW #19 ..... (Set up, do not evaluate integrals using SHELL METHOD. Use DISC METHOD on 12, 13b) p. 491: 3, 5-8, 11-13, 18, 20, 21, 24
HW #20 ..... p. 498: 2-6, 8, 9, 11-13
HW #21 ..... p. 512: 1, 3, 4, 12-14, 19, 22, 24, 31, 34ab
HW #22 ..... p. 524: 1acd, 2acd, 4abcf, 5, 7-10, 12, 13, 17-19, 21, 23, 25, 26, 30, 32, 34, 35, 37
HW #23 ..... p. 529: 1, 3, 4, 6, 9, 12-15, 20

EXAM 3 is Friday, March 8, 2002. It will cover handouts, lecture notes, and examples from class, homework assignments 16 through 23, discussion sheets 8, 9, and 10 (except for problems 2 and 7), and material from sections 8.1, 8.4-8.6, 8.8, 9.1, and 9.2 in the book which was presented in lecture notes through Monday, March 4, 2002. A practice exam with solutions is posted on this webpage. Problems using Pappus' Theorem, the Comparison Test, and the Absolute Convergence Test will NOT BE ON THIS exam, but may be on the final exam.

TYPES OF QUESTIONS FOR EXAM 3 (THIS IS SUBJECT TO UNANNOUNCED CHANGES.).

2 -- improper integrals
1 -- area
2 -- volume
1 -- centroid
1 -- polar coordinates
1 -- kinetic energy
1 -- other
1 -- OPTIONAL EXTRA CREDIT

HERE ARE SOME RULES FOR EXAM 3.

1.) No notes, books, or classmates may be used as resources for this exam. YOU MAY USE A CALCULATOR ON THIS EXAM.
2.) You will be graded on proper use of derivative and integral notation.
3.) Put units on answers where units are appropriate.
4.) Read directions to each problem carefully. Show all work for full credit. In most cases, a correct answer with no supporting work will NOT receive full credit. What you write down and how you write it are the most important means of your getting a good score on this exam. Neatness and organization are also important.

SOLUTIONS TO EXAM 3 ARE POSTED ON THIS WEBPAGE.

THE GRADING SCALE FOR 2002 EXAM 3 IS :

A+ ...... 100 - 111

A ...... 85-99

B ...... 70 - 84

C ...... 55 - 69

D ...... 44 - 54

F ...... 0 - 43

HW # 24 ..... p. 535: 1-4, 10-12, 15, 17, 20, 21, 23-25, 29, 30, 31 (SET UP ONLY on 31).
HW # 25 ..... p. 543: 1, 2, 5-12, 15, 16, 18, 21 ... and ... p. 567: 18.

The FINAL EXAM is Tuesday, March 19, 2002,

1:30 - 3:30 p.m.

in 198 Young

BRING A PICTURE ID TO THE EXAM
AND BE PREPARED TO SHOW IT TO KOUBA OR THE TEACHING ASSISTANT !!

The final exam will cover handouts, lecture notes, and examples from class, homework assignments 1 through 25, and material from sections 5.1-5.7, 6.7, 7.1-7.7, 8.1-8.6, 8.8, 9.1-9.4, and discusssion sheets 1-10.

TYPES OF QUESTIONS FOR THE FINAL EXAM (THIS IS SUBJECT TO UNANNOUNCED CHANGES.).
HERE ARE SOME RULES FOR THE FINAL EXAM.

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MATH 21B (SECTIONS B01-B05), 2 Wellman, 9-9:50 MWF

Instructor: Dr. D. A. Kouba

THE CALCULUS PAGE .

Here are some TIPS for doing well on my exams.

Your comments, questions, or suggestions can be sent via e-mail to Kouba by clicking on the following address : kouba@math.ucdavis.edu .

Your comments, questions, or suggestions can be sent via e-mail to Kouba by clicking on the following address :
kouba@math.ucdavis.edu .