Math 21B (Thomas) Website

MATH 21B (SECTIONS C001-C002), 119 Wellman, 12:10-1 MWF

Instructor: Dr. D. A. Kouba

Last Updated: June 3, 2010

Text: Thomas' Calculus: Early Transcendentals (11th edition) by Weir, Hass, Giordano

Office: 3135 MSB

Phone: (530) 752-1083

Regular Office Hours: Variable (announced in class and sent via e-mail) or by appointment

Here is a list of Exam ID Numbers .

MATH21B COURSE GRADES (listed by the last five digits of your student ID number)

TA OFFICE HOURS		Mark Junod	3110 MSB		1-2 p.m.	Monday
		Alexander Sheynis	3151 MSB		1-2 p.m.	Friday

EXAM DATES :

EXAM 1-- WEDNESDAY, April 14, 2010
EXAM 2-- MONDAY, May 3, 2010
EXAM 3-- WEDNESDAY, MAY 26, 2010
FINAL EXAM -- WEDNESDAY, June 9, 2010, 8-10 a.m. (7:45-10:15 a.m.) in 119 Wellman

The course will likely cover the following sections in our textbook : 4.8, 5.1-5.6, 6.1-6.7, 7.1, 7.2, 8.1-8.5, 8.7, 8.8, 10.5 and 10.6

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 3135 MSB.

Here is a copy of the Course Syllabus .

Here is a copy of the Schedule of Lectures .

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

Here are copies of Supplementary Class Handouts .

Here are copies of Discussion Sheets .

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.

Here is an OPTIONAL EXTRA CREDIT Survey .

The following homework assignments are subject to minor changes.

HW #1 ... (Section 4.8) ... p. 338: 2, 5, 8, 11, 15, 20, 21, 23, 26, 34, 36, 39, 46, 50, 51, 60, 62, 66, 69, 78, 79, 80, 83bc, 86bc, 88, 94, 96, 104, 120
HW #2 ... (Sections 5.1 and 5.2) ... p. 360: 1bd, 3bd, 6, 10, 12, 19 ... and ... p. 369: 2-5, 7, 8, 11, 12, 16, 17, 20, 23, 25, 28, 29
HW #3 ... (Section 5.3) ... p. 380: 10, 11, 13, 16, 18-20, 22, 24, 53, 65, 67, 68 (Book Error : Change integral 1 to 0 to integral 0 to 1.), 71 ... and ... Worksheet 1
HW #4 ... (Sections 5.3 and 5.4) ... p. 381: 55, 58, 61 ... and ... p. 392: 1, 5, 8, 9, 11, 14, 15, 20, 24, 27, 29, 30, 34, 41, 44, 46, 57, 74, 76
HW #5 ... (Section 5.5) ... p. 402: 1, 4, 6-8, 10 (Let u=1/x.), 11, 13, 16, 18, 20, 22, 23, 27, 29, 32, 33, 35, 37-39, 42, 43, 46, 47, 53
HW #6 ... (Section 5.6) ... (Use u-substituion when appropriate.) p. 410: 2a, 4b, 7b, 11a, 16, 22, 24, 31, 41, 47, 53-55, 58, 63, 66, 68, 73, 74, 80, 85, 95, 99, 102, 106 (Set up integrals but do not evaluate.), 115

EXAM 1 is Wednesday, April 14, 2010. It will cover handouts, lecture notes, and examples from class, homework assignments 1 through 6, discussion sheets 0, 1, and 2, and material from sections 4.8 and 5.1-5.6 in the book which was presented in lecture notes through Monday, April 12, 2010. MOST of the exam questions will be homework-type, discussion sheet-type, practice exam-type questions.

TYPES OF QUESTIONS FOR EXAM 1 FOR SPRING 2010 (THIS IS SUBJECT TO UNANNOUNCED CHANGES.)

5 -- Indefinite Integrals
1 -- Even/Odd Function
1 -- Properties of Definite Integral
1 -- Limit Definition of the Definite Integral
2 -- Area Using Definite Integrals
1 -- Average Value of a Function
2 -- Derivatives Using FTC1
1 -- Other
1 -- OPTIONAL EXTRA CREDIT

HERE ARE SOME RULES FOR EXAM 1.

0.) IT IS A VIOLATION OF THE UNIVERSITY HONOR CODE TO, IN ANY WAY, ASSIST ANOTHER PERSON IN THE COMPLETION OF THIS EXAM. IT IS A VIOLATION OF THE UNIVERSITY HONOR CODE TO COPY ANSWERS FROM ANOTHER STUDENT'S EXAM. IT IS A VIOLATION OF THE UNIVERSITY HONOR CODE TO HAVE ANOTHER PERSON TAKE AN EXAM FOR YOU. PLEASE KEEP YOUR OWN WORK COVERED UP AS MUCH AS POSSIBLE DURING THE EXAM SO THAT OTHERS WILL NOT BE TEMPTED OR DISTRACTED. THANK YOU FOR YOUR COOPERATION.
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 SPRING 2010 EXAM 1 IS :

A+ ...... 100 - 110

A ...... 90 - 99

A-/B+ ...... 85 - 89

B ...... 73 - 84

C ...... 55 - 72

D ...... 44 - 54

F ...... 0 - 43

HW #7 ... (Section 6.1) ... (SET UP BUT DO NOT EVALUATE INTEGRALS.) ... p. 434: 1abd, 3, 4, 8b, 14 (Evaluate the volume integral.), 15, 16, 20-22, 25, 30, 32, 35, 40, 41, 43, 46, 47, 50-53, 58 (Evaluate the volume integral.), 63 (SET UP volume V as a function of c and stop.).
HW #8 ... (Section 6.2) ... (SET UP BUT DO NOT EVALUATE INTEGRALS.) ... p. 443: 2-4, 6, 8, 10 (right half of region), 12, 13 (Evaluate this integral.), 15, 18, 22, 23, 25, 26, 28 (Set up the Disc Method and Shell Method for each part.), 29, 32, 34, 39 (Evaluate this integral.)
HW #9 ...(Section 6.3) ... p. 452: 1, 2, 4, 6, 8-12, 17, 29a, 30a, 35
HW #10 ...(Section 6.4) ... p. 463: 1, 6, 9, 12, (For the remaining problems, unless otherwise noted, you need only SET UP integrals.) 13, 15, 18, 21, 24, 27, 28, 32b, 35 (Use formulas from class and evaluate the integrals.), 40 (Evaluate the integrals.)
HW #11 ...(Section 6.5) ... p. 474: 9, 13, 14, 17, 20, 25, 33, 34, 37
HW #12 ...(Section 6.6) ... p. 482: 1, 2, 4, 7, 8, 9, 13 (Include the weight of the bucket when computing work.), 15a, 16a, 19, 22
HW #13 ... (Section 6.7) ... p. 489: 2, 5a, 6, 8a, 9, 11a, 20 (Assume that olive oil has a density of about 0.034 lbs. per cubic inch.), 22

EXAM 2 is Monday, May 3, 2010. It will cover handouts, lecture notes, and examples from class, homework assignments 7 through 13, discussion sheets 3, 4, and 5 , and material from sections 6.1-6.7 in the book which was presented in lecture notes through Friday, April 30, 2010.

TYPES OF QUESTIONS FOR EXAM 2 FOR SPRING 2010 (THIS IS SUBJECT TO UNANNOUNCED CHANGES.)

1 -- Volume by Cross-Sectional Area, A(x) (SET UP ONLY.)
4 -- Volume by Disc Method/Shell Method (SET UP ONLY.)
1 -- Arc Length (Evaluate integral.)
1 -- Area of Surface of Revolution (Evaluate integral.)
1 -- Moment, Mass, Centroid, or Center of Mass (SET UP ONLY.)
1 -- Work (SET UP ONLY.)
1 -- Force of Fluid Pressure (SET UP ONLY.)
1 -- OPTIONAL EXTRA CREDIT

HERE ARE SOME RULES FOR EXAM 2.

0.) IT IS A VIOLATION OF THE UNIVERSITY HONOR CODE TO, IN ANY WAY, ASSIST ANOTHER PERSON IN THE COMPLETION OF THIS EXAM. IT IS A VIOLATION OF THE UNIVERSITY HONOR CODE TO COPY ANSWERS FROM ANOTHER STUDENT'S EXAM. IT IS A VIOLATION OF THE UNIVERSITY HONOR CODE TO HAVE ANOTHER PERSON TAKE AN EXAM FOR YOU. PLEASE KEEP YOUR OWN WORK COVERED UP AS MUCH AS POSSIBLE DURING THE EXAM SO THAT OTHERS WILL NOT BE TEMPTED OR DISTRACTED. THANK YOU FOR YOUR COOPERATION.
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 SPRING 2010 EXAM 2 IS :

A+ ...... 100 - 110

A ...... 88 - 99

A-/B+ ...... 82 - 87

B ...... 70 - 81

C ...... 50 - 69

D ...... 40 - 49

F ...... 0 - 39

HW #14 ... (Section 7.1) ... p. 506: 2, 3, 5-9, 12, 13, 15, 20, 22, 24, 25, 26, 28, 32, 33, 36, 39, 42, 49, 51, 53, 55, 70b
HW #15 ... (Section 7.2) ... p. 515: 4, 5, 8, 11, 15, 18, 21 (See Newton's Law of Cooling formula on page 514. Assume that the cooling constant k is the same for both parts a and b.), 23, 25
HW #16 ... (Section 8.1) ... p. 542: 2, 5, 8, 12, 14, 17, 22, 25, 28, 30-33, 37, 40, 42, 43, 47, 48, 55, 58, 59, 63, 68, 69, 77, 81, 92
HW #17 ... (Section 8.2) ... p. 552: 1, 4, 5, 8, 9, 11, 23, 26, 27, 29, 30, 33, 36a, 40, 41, 42
HW #18 ... (Section 8.3) ... p. 563: 9, 12, 13, 16, 19, 20, 21, 23, 26, 30, 33, 35, 38, 45
HW #19 ... (Section 8.4) ... p. 569: 3, 4, 5, 7, 9, 10, 12, 14, 16, 18, 19, 23, 26, 29, 30, 34, 37, 43
HW #20 ... (Section 8.5) ... p. 575: 1, 4, 5, 8, 11, 13, 15, 16, 18, 24, 29, 42
HW #21 ... (Section 8.7) ... p. 597: 4 (parts a and b only), 7 (parts a and b only), 12 (In part c find exact value of integral only.), 19, 21, 24, 27, 30, 32, 50

EXAM 3 is Wednesday, May 26, 2010. It will cover handouts, lecture notes, and examples from class, homework assignments 15 through 21, discussion sheets 6, 7, 8, and 9, and material from sections 7.1, 7.2, 8.1-8.5, and 8.7 in the book which was presented in lecture notes through Monday, May 24, 2010.

TYPES OF QUESTIONS FOR EXAM 3 FOR SPRING 2010 (THIS IS SUBJECT TO UNANNOUNCED CHANGES.)

1 -- Exponential Growth/Decay
1 -- Trapezoidal or Simpson's Rule
7 -- Various Integrals
1 -- OPTIONAL EXTRA CREDIT

HERE ARE SOME RULES FOR EXAM 3.

0.) IT IS A VIOLATION OF THE UNIVERSITY HONOR CODE TO, IN ANY WAY, ASSIST ANOTHER PERSON IN THE COMPLETION OF THIS EXAM. IT IS A VIOLATION OF THE UNIVERSITY HONOR CODE TO COPY ANSWERS FROM ANOTHER STUDENT'S EXAM. IT IS A VIOLATION OF THE UNIVERSITY HONOR CODE TO HAVE ANOTHER PERSON TAKE AN EXAM FOR YOU. PLEASE KEEP YOUR OWN WORK COVERED UP AS MUCH AS POSSIBLE DURING THE EXAM SO THAT OTHERS WILL NOT BE TEMPTED OR DISTRACTED. THANK YOU FOR YOUR COOPERATION.
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.) Do not use any shortcuts from the book when using the method of integration by parts.
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 3 ARE POSTED ON THIS WEBPAGE.

THE GRADING SCALE FOR SPRING 2010 EXAM 3 IS :

A+ ...... 100 - 110

A ...... 90-99

A-/B+ ...... 85 - 89

B ...... 70 - 84

C ...... 54 - 69

D ...... 42 - 53

F ...... 0 - 41

HW #22 ... (Section 8.8) ... p. 615: 1, 4, 6, 9, 14, 15, 20, 21, 25, 30, 34, 37, 41, 42, 51, 53, 59, 67, 69, 70
HW #23 ... (Sections 10.5 and 10.6) ... p. 702: 1, 6df, 7, 10, 13, 23, 28, 32, 34, 43, 52, 53, 57, 62 ... and ... p. 708: 1, 6, 7, 10, 18, 19, 21b, 22a, 24a, 26, 31, 33, 34, 45 (!)
HW #24 ... (Section 10.7) ... p. 714: 3, 8, 15, 17a

The FINAL EXAM is Wednesday, June 9, 2010,

8-10 a.m. (7:45-10:15 a.m.)

in 119 Wellman

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 23 (omit 24), material from sections 4.8, 5.1-5.6, 6.1-6.7, 7.1, 7.2, 8.1-8.5, 8.7, 8.8, 10.5, 10.6 (omit 10.7) and discusssion sheets 0-10.

TYPES OF QUESTIONS FOR THE FINAL EXAM FOR SPRING 2010 (THIS IS SUBJECT TO UNANNOUNCED CHANGES.). This exam will NOT HAVE PROBLEMS on Work, Surface Area of Solid of Revolution, Limit Definition of Definite Integral, and Comparison Tests for Improper Integrals.
HERE ARE SOME RULES FOR THE FINAL EXAM.

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MATH 21B (SECTIONS C001-C002), 119 Wellman, 12:10-1 MWF

Instructor: Dr. D. A. Kouba

THE CALCULUS PAGE .

Here are some TIPS for doing well on my exams.

Here is an OPTIONAL EXTRA CREDIT Survey .

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 .