## Instructor: Dr. D. A. Kouba

Last Updated: December 23, 2004

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

Office: 484 Kerr

Phone: (530) 752-1083

Regular Office Hours: 10-11 T Th or by appointment

 KOUBA OFFICE HOURS MONDAY, December 13, 2004 9:30-10:30 a.m. 484 Kerr KOUBA OFFICE HOURS TUESDAY, December 14, 2004 10-11 a.m. 484 Kerr KOUBA OFFICE HOURS WEDNESDAY, December 15, 2004 10:30-11:30 a.m. 484 Kerr

Here are Math 21A TA OFFICE HOURS for Fall Quarter 2004. THESE WILL BE POSTED AS SOON AS POSSIBLE.

EXAM DATES :

• EXAM 1-- WEDNESDAY, OCTOBER 20, 2004

• EXAM 2-- WEDNESDAY, NOVEMBER 10, 2004

• EXAM 3-- WEDNESDAY, DECEMBER 1, 2004

• FINAL EXAM -- THURSDAY, DECEMBER 16, 2004, 1:30 p.m. - 2:30 p.m. . . . . . in (to be announced)

The course will likely cover the following sections in our textbook : 2.1-2.5, 2.7, 2.8, 2.10, 3.1-3.6, 4.1-4.9, 6.1-6.6, 6.8

Here is a Course Syllabus .

Here is a Schedule of lectures.

Here are Math 21A Homework Solutions and Exam Solutions .

Here are copies of Discussion Sheets .

Here are copies of Worksheets .

Here are Supplementary Class Handouts .

Here are copies of Basic Math Formulas .

Here are Practice Exam 1 and Solutions .

Here are Practice Exam 2 and Solutions .

Here are Practice Exam 3 and Solutions .

Here are Practice Final Exam and Solutions .

### Here are some TIPS for doing well on my exams.

The following homework assignments are subject to minor changes.

• HW #1 ..... p. 20: 3-5, 9, 11, 12, 14, 20, 22, 25, 27, 28, 30, 33, 38, 39, 44, 45, 47-50, 52, 56, 58, 60 (optional) and p. 26: 6, 17, 25, 28-31, 33, 35

• HW #2 ..... p. 34: 4, 5, 8, 10, 13-17, 20, 22, 23, 27, 28, 31, 35

• HW #3 ..... p. 44: 6, 9, 11-14, 18, 20, 22-24, 26, 29-32, 38, 42, 45-47 and p. 74: 5-10, 18, 21abcd, 22abcd, 26, 28fg

• HW #4 ..... p. 83: 1-6, 12-14, 38, 48, 49 and Worksheet 1

• HW #5 ..... p. 85: 18, 19, 23, 26, 28, 33, 34

• HW #6 ..... Worksheet 2
EXAM 1 is Wednesday, October 20, 2004. IT WILL BEGIN AT 9:00 SHARP ! It will cover handouts, lecture notes, and examples from class, homework assignments 1 through 6, discussion sheets 1, 2, and 3 (excluding problems 2, 7, and 8), and material from sections 2.1-2.4, 2.7, 2.8, and 2.10 in the book which was presented in lecture notes through Friday, October 15, 2004. A practice exam with solutions will be made available. MOST of the exam questions will be homework-type, discussion sheet-type, practice exam-type questions.

TYPES OF QUESTIONS FOR EXAM 1 FALL 2004 (TENTATIVE LIST)

• 6 -- limits
• 1 or 2 -- domain/range
• 1 or 2 -- continuity
• 1 -- Intermediate Value Theorem
• 1 -- epsilon/delta proof
• 1 -- other
• 1 -- OPTIONAL EXTRA CREDIT

HERE ARE SOME RULES FOR EXAM 1 FALL 2003.

• 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 may NOT use L'Hopital's Rule, whatever that is.
• 4.) You may NOT use the shortcut (from the book) on finding limits to infinity.
• 5.) Using only a calculator to determine limits will receive little credit.
• 6.) 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 LINKED TO THIS WEBPAGE.

THE GRADING SCALE FOR FALL 2004 EXAM 1 IS :

A+ ...... 100 - 110

A ...... 90-99

B ...... 78-89

C ...... 65 - 77

D ...... 54-64

F ...... 0 - 53

• HW #7 ..... p. 96: 11, 12, 16, 27 (optional) ... and ... p. 111: 17, 24, 28, 42 ... and ... p. 121: (Use limit definition of derivative on next 4 problems) 4, 7, 12, 16, (Use Theorem 2 shortcut on these problems.) 17 - 29 odd, 34 - 37

• HW #8 ..... p. 129: 15 - 18, 21, 25b, 26, 28, 33, 34

• HW #9 ..... p. 141: 6, 8, 14, 20, 30, 34, 38, 40, 41, 43, 45, 55 - 58

• HW #10 ..... p. 148: 2 - 18 even, 22, 23, 28, 29, 33, 36, 37, 43

• HW #11 ..... p. 153: 3, 5, 8, 12, 13, 17, 18, 21, 24, 27, 30, 32, 34, 44, 49, 51b, 52 ... and ... p. 52: 2, 3, 6b, 16, 19, 20, 27, 28, 38

• HW #12 ..... p. 172: 5, 6, 8, 10, 12, 17, 20, 22, 24, 26, 37, 38, 43, 46

• HW #13 ..... p. 190: 5, 7, 9, 10, 12, 15, 16, 18, 23, 26, 29, 30 ... and ... Worksheet 3

For homework assignments 14 and 15 use the instructions for detailed graphing handed out in class.

• HW #14 ..... p. 184: 28, 31, 43, 44, 47 ... and ... p. 203: 7, 11, 14

• HW #15 ..... p. 184: 12, 13, 16, 37, 38, 40, 42, 52 ... and ... p. 203: 22, 24, 32, 34, 38, 39, 41 (optional)
EXAM 2 is Wednesday, November 10, 2004. It will cover handouts, lecture notes, and examples from class, homework assignments 7 through 15, discussion sheets 3 - 5, and problems 1 and 2 from discussion sheet 6, and material from sections 2.10, 3.1-3.6, 2.5, 4.1-4.3, and 4.5 in the book which was presented in lecture notes through Monday, November 8, 2004. A practice exam with solutions will be made available. MOST of the exam questions will be homework-type, discussion sheet-type, practice exam-type questions.

TYPES OF QUESTIONS FOR EXAM 2 FALL 2004 (TENTATIVE LIST)

• 3 -- chain rule
• 1 -- limit definition of derivative
• 1 -- gravity problem
• 1 -- complete detailed graphing
• 4 -- specific parts of detailed graphing
• 1 -- MVT
• 2 -- other
• 1 -- OPTIONAL EXTRA CREDIT

HERE ARE SOME RULES FOR EXAM 2 FALL 2004.

• 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 and derivative notation.
• 3.) You may NOT use L'Hopital's Rule, whatever that is.
• 4.) You may NOT use the shortcut (from the book) on finding limits to infinity.
• 5.) Using only a calculator to determine limits will receive little credit.
• 6.) Put units on answers where units are appropriate.
• 7.) 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.
• 8.) Do not use formulas from physics. Derive all necessary formulas. \Lvskp

SOLUTIONS TO EXAM 2 ARE POSTED ON THIS WEBPAGE.

THE GRADING SCALE FOR FALL 2004 EXAM 2 IS :

A ...... 84 - 100

A-/B+ ...... 81 - 83

B ...... 70 - 80

C ...... 55 - 69

D ...... 43 - 54

F ...... 0 - 42

• HW #16 ..... p. 216: 4, 8, 9, 10, 15, 16, 19, 21, 22, 27

• HW #17 ..... p. 216: 18, 20a, 30 (Assume s = 2 miles), Do dogs know calculus ? , 41c, 47 and p. 242: 11 (Assume L = 1), 46 (Assume a=1), 47, 68

• HW #18 ..... p. 225: 5, 6, 8, 20, 22, 25, 26

• HW #19 ..... p. 196: 3, 4, 6, 7, 9, 10, 15, 19, 21 and p. 243: 33, 54 and p. 154: 53

• HW #20 ..... p. 209: 4, 8, 11, 15, 17, 19, 20

• HW #21 ..... p. 232: 2, 3, 7, 12, 13, 18, 25, 28, 41, 42, 43, 48 (optional) and p. 244: 34bc, 42

• HW #22 ..... p. 326: 1, 5, 14, 16, 18, 29, 30 and p. 334: 3-8, 10-12

• HW #23 ..... p. 343: 2, 3, 5, 6, 8, 10, 16, 22, 24, 25, 28, 30, 36 and Worksheet 4
EXAM 3 is Wednesday, December 1, 2004. It will cover handouts, lecture notes, and examples from class, homework assignments 16 through 23, discussion sheets 6,7, and part of 8 (problems 1-6), and material from sections 4.4, 4.6-4.9, and 6.1-6.3 in the book which was presented in lecture notes through Monday, November 29, 2004. A practice exam with solutions will be made available. MOST of the exam questions will be homework-type, discussion sheet-type, practice exam-type questions.

TYPES OF QUESTIONS FOR EXAM 3 FALL 2004 (TENTATIVE LIST)

• 2 -- maximum/minimum (Know your circles, triangles, rectangles, boxes, cylinders, etc.)
• 2 -- related rates
• 1 -- compound interest (continuous or discrete)
• 1 -- implicit differentiation
• 1 -- Newton's method (No IMVT)
• 1 -- differential
• 1 -- differentiate using logarithms
• 1 -- OPTIONAL EXTRA CREDIT

HERE ARE SOME RULES FOR EXAM 3 FALL 2004.

• 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 differential notation.
• 3.) Put units on answers where units are appropriate.
• 4.) On optimization (maximum/minimum) problems use a sign chart to verify the minimum or maximum and list optimal values for ALL variables used in the problem.
• 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 FALL 2004 EXAM 3 IS :

A+ ...... 100 - 112

A ...... 90 - 99

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

B ...... 74 -84

C ...... 55 - 73

D ...... 45 - 54

F ...... 0 - 44

• HW # 24 ..... p. 355: 2, 4, 5, 7, 9, 15, 17, 22, 26, 30, 40, 42a

• HW # 25 ..... p. 349: 1, 5, 9, 11, 13, 14, 18, 21

• HW # 26 ..... p. 365: 4, 13-18, 22, 26, 27, 36, 38, 40, 42, 47, 50, 54, 55, 57, 65

• HW # 27 ..... p. 384: 4, 11-17, 19-26, 29, 38, 45, 46, 53, 56, 58

FINAL EXAM -- THURSDAY, DECEMBER 16, 2004,

1:30 p.m. - 3:30 p.m. (1:15 p.m. - 3:45 p.m., if you want extra time)

in 2205 Haring.

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

The final exam will cover handouts, lecture notes, and examples from class, homework assignments 1 through 27, and material from sections 2.1-2.5, 2.7, 2.8, 2.10, 3.1-3.6, 4.1-4.9, 6.1-6.6, 6.8, and discusssion sheets 1-9.

TYPES OF QUESTIONS FOR THE FINAL EXAM FALL 2004 (TENTATIVE LIST)

• 13 Multiple Choice Problems (Topics may include limits, continuity, domain, range, graphing derivatives, implicit differentiation, precise epsilon/delta limit definition, asymptotes (vertical, horizontal, tilted), chain rule, Mean Value Theorem, Intermediate Value Theorem, differentials, etc.)
• 2 -- Maximum Minimum Problems
• 2 -- Related Rates Problems
• 1 -- Limit Definition of Derivative
• 1 -- Detailed Graphing
• 1 -- Inverse Function/One-To-One Function
• 3 -- L'Hopital's Rule
• 1 -- Other
• 2 -- OPTIONAL EXTRA CREDIT

HERE ARE SOME RULES FOR THE FINAL EXAM.

• 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 differential and derivative notation.
• 4.) Put units on answers where units are appropriate.
• 5.) On optimization (maximum/minimum) problems use a sign chart to verify the minimum or maximum and list optimal values for ALL variables used in the problem.
• 6.) 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.

####################################################################

####################################################################