Math 12 Website

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

Instructor: Dr. D. A. Kouba

Last Updated: June 16, 2001

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

EXAM 1 is Monday, April 16, 2001. It will cover examples from class, homework assignments 1-6, and material from sections 2.1, 2.3-2.6, 3.1-3.5 in the book which was presented in lecture notes through Wednesday, April 11, 2001.

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

EXAM 2 is Wednesday, May 9, 2001. It will cover lecture notes and examples from class, homework assignments 7 through 15, and material from sections 4.2, 4.4-4.7, and 5.1-5.5 in the book which was presented in lecture notes through Friday, May 4, 2001.

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

EXAM 3 is Wednesday, May 30, 2001. It will cover handouts, lecture notes, and examples from class, homework assignments 16 through 22, and material from sections 6.1, 6.3, 6.4, 7.1-7.4, 8.1, and 8.2. You will need to memorize all the definitions of the six trigonometry functions, the exact trig values for 0, 30, 45, 60, and 90 degrees, and

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

You need NOT memorize any other trigonometry identities, although it helps you work faster on homework and exams if you do !

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 above

The 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.
HERE ARE SOME RULES FOR THE FINAL EXAM.

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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

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

Instructor: Dr. D. A. Kouba

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 .