* MATH 12(SECTION 002), 194 Young, 9:00-9:50 MWF *

* Instructor: Dr. D. A. Kouba *

Text: PRECALCULUS (fifth edition) by David Cohen

Office: 484 Kerr (There is candy in the office !)

Phone: (530) 752-1083

Regular Office Hours: 10-11 T Th in 484 Kerr or by appointment

TA Office Hours: Brian Shay, 1-2 M, 4-5 T in 478 Kerr

EXTRA OFFICE HOUR | MONDAY, June 11, 2001 | 10:30-11:30 a.m. | 484 Kerr | |||

EXTRA OFFICE HOUR | TUESDAY, June 12, 2001 | 10:30-11:30 a.m. | 484 Kerr |

EXAM DATES :

- EXAM 1-- MONDAY, April 16, 2001

- EXAM 2-- WEDNESDAY, May 9, 2001

- EXAM 3-- WEDNESDAY, May 30, 2001

- FINAL EXAM -- THURSDAY, June 14, 2001, 4-6 p.m. (START AT 3;45 !!), in 194 Young

The course will likely cover the following sections in our textbook : 2.1, 2.3-2.6, 3.1-3.5, 4.2, 4.4-4.7, 5.1-5.5, 6.1, 6.3, 6.4, 7.1-7.4, 8.1, 8.2, 8.4

SOLUTIONS TO ALL HOMEWORK ASSIGNMENTS CAN BE PURCHASED AT CLASSICAL NOTES IN THE MEMORIAL UNION. They can also be viewed on the internet at Math 12 Homework and Exam Solutions In addition, you may look at a copy of solutions during my office hours (or appointment) in 484 Kerr.

The following homework assignments are subject to minor changes.

- HW #1 p. 42: 3, 4, 5, 8, 11b, 12a, 13a (find area of triangle also), 13b, 17, 20, 24, 33, 35bc, 38, 44-46, 50-53, 63(read only), 64a

TURN IN : p. 42: 4, 11b, 12a, 20, 38, 51, 53

- HW #2 p. 64: 2, 4, 6, 7, 9, 11ac, 14ab, 15, 18, 20, 21bc, (label x- and y-intercepts on 23, 24, 25, 26, 28) 23bd, 24cd, 25, 26, 28, 29b, 31abc, 34, 35, 41, 43, 44, 45, 49 (FACT: A^3-B^3 = (A-B)(A^2+AB+B^2)), 50, 60 ..... and ..... p. 75: 9(show symmetry about the y-axis), 10(show symmetry about the origin), 21(show symmetry about the x-axis), 24(show NOT symmetric about the origin)

TURN IN : p. 64:7, 11c, 14b, 23d, 24d, 26, 34, 44, 60a ... and ... p. 75: 10, 24

- HW #3 p. 82: 2, 5, 8, 10, 12, 13, 16, 19, 23, 26, 30, 31, 45b, 47 ..... and ..... p. 91: 1, 2, 5, (use a sign chart on the next 10 problems) 9, 16, 18, 23, 31, 40, 47, 50, 57, 64, 72, 76

TURN IN : p. 82: 8, 10, 26b, 30, 31 ... and ... p. 91: 9, 16, 18, 40, 50, 64

- HW #4 p. 108: 3, 6, 11 (use A^3-B^3=(A-B)(A^2+AB+B^2)), 25, 27a, 31, 33, 35h, 44, 47, 49, 54, 61ad, 103 (optional) ..... and ..... p. 120: 6 (exact values only), 10, 11, 12, 16, 18, 21, 31, 33, 38, 39, 45, 46, 55, 63abc

TURN IN : p. 108: 6bc, 11, 31, 44, 47, 61d ... and ... p. 120: 6, 10, 12, 18, 31, 38, 46, 63a

- HW #5 p. 137: 2, (start with graph of y=x^2 for next three problems) 4, 5, 8,
(start with graph of y=x^(1/2) for next three problems) 13, 14, 15, 25, 34, 35, 43c, 60 ..... and ..... p. 148: 11ac, 12ac, 14, 15ad, 19, 27, 30, 34, 46, 48, 49, 50a, 56b

TURN IN : p. 137: 4, 8, 14, 15, 34, 43c, 60bfh ... and ... p. 148: 12a, 14bce, 15a, 19bce, 46, 48

- HW #6 p. 162: 1b, 7, 9, 11, 13, 19, 22bc, 27, 34, 36, 37, 39, 43, 51, 52

TURN IN : p. 162: 9, 13, 19, 22bc, 34, 37, 39, 43, 52

TYPES OF QUESTIONS FOR EXAM 1 ON April 16, 2001.

- 1 -- distance between points
- 1 -- derive equation of line
- 2 -- solving inequalities with absolute value
- 2 -- domain and range
- 1 -- one-to-one/inverse function
- 1 -- functional composition
- 1 -- average rate of change
- 1 -- graphing
- 2 -- OTHERS (any type of problem)
- 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.
- 2.) YOU MAY NOT USE A CALCULATOR ON THIS EXAM.
- 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.

Most of the exam questions will be like those in lectures and homework. There will be one OPTIONAL EXTRA CREDIT problem on the exam.

SOLUTIONS TO EXAM 1 CAN BE PURCHASED AT CLASSICAL NOTES IN THE MU or viewed online on the homework solutions page.

THE GRADING SCALE FOR EXAM 1 FOR SPRING 2001 IS :

A+ ...... 100 - 108

A ...... 84 - 99

B ...... 70 - 83

C ...... 56 - 69

D ...... 41 - 55

F ...... 0 - 40

- HW #7 p. 195: 1, 6, 7, 9, 12, 14, 25, 28, 32, 39ac, 42c, 51-55

TURN IN : p. 195: 1, 6, 9, 14, 25, 28, 32, 39a, 42c, 51, 53, 54

- HW #8 p. 221: 1, 2, 4, 6, 7ab, 14, 15, 18, 20, 21, 22a, 23, 24, 28, 30, 38, 39, 41a, 43a

TURN IN : p. 221 : 1, 2, 4, 6, 14, 18, 20-24, 28, 38, 41, 43a

- HW #9 p. 233: 1, 3, 6, 7, 10, 11, 12, 14, 16, 20, 27, 29, 32, 33, 40, 42a, 45a

TURN IN : p. 233: 1, 3, 6, 7, 10, 12, 16, 29, 33, 42a, 45a

- HW #10 p. 248: 9, 11, 12, 14, 17, 20, (Ignore the excluded region on the following 7 problems)24, 25, 26, 30, 32, 34, 38, 48 (f(x)=x, g(x)=x^2), 50 (F(x)=x^4, G(x)=x^5, H(x)=x^6), 51, 56d (Solve y=x for x.)

TURN IN : p. 248: 9, 12, 14, 17, 24, 26, 30, 32, 34, 38, 48, 50, 51

- HW #11 p. 258: 2, 3, 4, 7, 12, 14, 17, 24, 29a, 34, 37ab, 41acd, 42, 43(Just find slant asymptote.)

TURN IN : p. 258: 2, 4, 12, 17, 24, 29a, 34, 37b, 41acd, 42

- HW #12 p. 277: 3-10, 12, 15, 16, 18, 20, 21, 22, 26, 30, 32, 34, 35, 36, 39, 40, 42 ... and ... p. 284: 2, 4, 5, 6, 9, 10, 15-22

TURN IN : p. 277: 3-10, 12, 16, 20, 22, 30, 32, 36, 39, 42, ... and ... p. 284: 2, 4, 9, 17, 20, 21

- HW #13 p. 294: 7-9, 11, 13-16, 17abe, 18, 20, 22ab, 24, 27, 28, 30, 32, 34, 35, 49, 53, 54, 70, 72

TURN IN : p. 294: 7, 9, 11, 14, 16, 18, 20, 24, 28, 30, 32, 34, 49, 53, 70

- HW #14 p. 294: 57 ... and ... p. 307: 1, 8, 9, 13, 15, 16a, 21a, 22b, 27a, 28d, 29c, 31a, 32a, 34a, 43, 46, 48, 62, 66, 78

TURN IN : p. 294: 57 ... and ... p. 307: 1, 9, 13, 16a, 22b, 27a, 28d, 29c, 34a, 43, 48, 78

- HW #15 p. 318: 1, 6, 10, 13b, 17, 19, 23, 25c, 26a, 27, 28, 29, 31, 36, 38, 41, 47, 49, 52, 55, 56, 57, 62, 63, 64, 67, 70, 84, 85, 88

TURN IN : p. 318: 1, 6, 10, 19, 23, 25c, 28, 29, 36, 41, 49, 52, 56, 63, 64, 67, 70 - HW #16 p. 364: 2, 3, 6, 7, 11, 12, 13, 18, 25, 28, 30, 34, 47, 48, 49 ... and ... p. 379: 1, 2, 4, 5, 7, 8, 11, 15, 22, 25, 26, 28, 30, 31, 33

TURN IN : p. 364: 2, 6, 1,, 13, 25, 34, 47, 49 ... and ... p. 379 : 2, 4, 5, 7, 8, 11, 22, 25, 26, 30, 33

TYPES OF QUESTIONS FOR EXAM 2.

- 10 -- short true/false questions
- 1 -- graphing parabola with domain, range, intercepts, and vertex
- 1 -- graphing exponential function with domain, range, intercepts, and asymptotes
- 1 -- graphing rational function with domain, range, intercepts, and asymptotes
- 1 -- finding tilted asymptote using polynomial division
- 1 -- finding domain of logarithmic function
- 3 -- solving equations and inequalities for x
- 1 -- maximum/minimum word problem
- 1 -- other
- 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.
- 2.) YOU CAN USE A CALCULATOR ON THIS EXAM.
- 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 2 CAN BE PURCHASED AT CLASSICAL NOTES IN THE MU.

THE GRADING SCALE FOR EXAM 2 FOR SPRING 2001 IS :

A ...... 85-100

B ...... 70-84

C ...... 54-69

D ...... 41-53

F ...... 0-40

- HW #16 p. 364: 2, 3, 6, 7, 11, 12, 13, 18, 25, 28, 30, 34, 47, 48, 49 ... and ... p. 379: 1, 2, 4, 5, 7, 8, 11, 15, 22, 25, 26, 28, 30, 31, 33

TURN IN : p. 364: 2, 6, 1,, 13, 25, 34, 47, 49 ... and ... p. 379 : 2, 4, 5, 7, 8, 11, 22, 25, 26, 30, 33

- HW #17 p. 391: 1, 4, 6, 9, 10, 15, 18, 19, 21, 24, 51(exact values only), 52(exact values only), 53, 54, 56, 57, 58b, 60, 63, 69b

TURN IN : p. 391: 1, 4, 9, 18, 19, 21, 51, 52, 53, 56, 57, 58b, 60a, 63

- HW #18 p. 415: 1-3, 5-14, 16, 19, 20, 34, 36, 41, 42 ... and ... p. 422: 2, 4, 5, 7, 8-10, 12, 14ab, 15ab, 19, 37

TURN IN : p. 415: 2, 3, 5, 6, 8-13, 16, 19, 34, 41, 42 ... and ... p. 422: 2, 4, 5ab, 7, 10, 12, 14ab, 15ab, 19, 37

- HW #19 p. 435: 1ac, 4ac, 6ac, 7ac, 9a, 10c, 11a, 14a, 15a, 16a, 24, 26, 27, 29, 31, 36, 38ac, 48, 49

TURN IN : p. 435: 1ac, 4ac, 6ac, 10c, 11a, 15a, 16a, 24, 26, 29, 31, 38ac, 48

- HW #20 p. 449: 2-6, 10, 11, 17, 19, 20, 27, 30, 31, 33, 35, 38abc, 40abc, 43abc, 47abc, 50

TURN IN : p. 449: 2, 5, 6, 10, 11, 19, 27, 30, 33, 38abc, 47abc, 50

- HW #21 p. 489: 2, 4, 7, 8, 12, 14, 17-20, 22, 24, 25, 29, 30, 36, 37, 43, 44, 48, 50, 62

TURN IN : p. 489: 2, 7, 12, 17, 18, 20b, 22, 25, 30, 36, 43, 44, 48, 50, 62

- HW #22 p. 498: 2, 3, 5, 8, 13ab, 14c, 17a, 18b, 19c, 20a, 23, 25, 29, 31, 35, 36, 38, 52, 55a

TURN IN : p. 498: 3, 5, 8, 13a, 14c, 17a, 18b, 19c, 20a, 25, 29, 35, 38, 52, 55a

- sin^2t + cos^2t=1
- 1+ tan^2t = sec^2t
- 1+cot^2t = csc^2t

TYPES OF QUESTIONS FOR EXAM 3.

- 1 -- use sum/difference identities to find trig values
- 1 -- use double- and half-angle identities to find trig values
- 1 -- use reference angles to find trig values
- 1 -- prove trig equation is identity
- 1 -- use calculator to solve sin x = k or cos x = k for x
- 1 -- angular velocity/linear velocity
- 1 -- radian/degree conversions
- 1 -- find area of triangle
- 1 -- find area and perimeter of circular sector
- 1 -- clock problem like problem 42 on page 416
- 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.
- 2.) YOU WILL NEED A CALCULATOR ON THIS EXAM.
- 3.) Put units on answers where units are appropriate. You WILL BE DOCKED POINTS if you do not place appropriate units on such answers.
- 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 CAN BE PURCHASED AT CLASSICAL NOTES IN THE MU.

THE GRADING SCALE FOR EXAM 3 FOR SPRING 2001 IS :

A ...... 84-100

B ...... 70-83

C ...... 60-69

D ...... 50-59

F ...... 0-49

- HW #23 p. 515: 1-4, (On next 8 problems find solutions in interval [0, 2 pi].) 6, 9-11, 13-16, 23, 26, 27, 33, 38, 40, 48, 50

TURN IN : all of aboveThe FINAL EXAM is Thursday, June 14, 2001,

4-6 p.m. (START AT 3:45 !!)

in 194 Young .

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 23, and material from sections 2.1, 2.3-2.6, 3.1-3.5, 4.2, 4.4-4.7, 5.1-5.5, 6.1, 6.3, 6.4, 7.1-7.4, 8.1, 8.2, and 8.4. Use your three hour exams and 23 homework assignments as a guide to your preparing for the final exam.

TYPES OF QUESTIONS FOR THE FINAL EXAM.

- 2 -- like problems in section 8.4
- 1 -- prove a trig equation is an identity
- 1 or 2 -- detailed graphing for parabola or rational function
- 1 -- solving quadratic inequality or inequality with absolute value
- 1 -- derive equation of line
- 1 -- functional composition/inverse function
- 1 -- average rate of change
- 1 -- maximum/minimum word problem
- 1 or 2 -- use double- and half-angle identities to find trig values
- 1 -- angular velocity/linear velocity
- 1 -- derive equation of circle
- 1 or 2 -- solving logarithmic or exponential equations/inequalities
- 1 -- 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.
- 2.) YOU WILL NEED A CALCULATOR ON THIS EXAM.
- 3.) Put units on answers where units are appropriate. You WILL BE DOCKED POINTS if you do not place appropriate units on such answers.

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