Math 120R homepage

Math 120R - Preparation for Calculus
Section 003
Spring 2009

Instructor: Rosalyn Rael
Office: Math 303
Phone: 621-1163
Email: rrael@math.arizona.edu

Class meeting times: MWF 9-9:50 in Harvill 332B
Tues. 9:30 - 10:45 in Harvill 319

Office hours:

Math Dept. tutoring hours (Math East 145):

Monday 10am-11am

Tuesday 8:30am-9:20am

Or by appointment

Monday-Thursday 1-4pm

Friday 11-2pm

(I will be in the tutoring lab Tues. 3-4 pm)

Course Information:

course policy
homework policy
calendar
homework list (tentative problems-- see below for actual assignments!)

Announcements:

WELCOME to Math120R!
Exam 1 is on Friday, February 6th
Exam 2 is on Tuesday, March 3rd
Exam 3 is on Tuesday March 31
The ALGEBRA EXAM is Monday, April 13.
Exam 4 is on Tuesday, April 28.

NO make-ups will be given without a valid excuse presented PRIOR TO the exam.

FINAL EXAM
Monday, May 11th 8-10am in PAS 201
Class Final Exam study session: Friday May 8, 3-6 pm in the MathEast lobby (1st floor, south end of building)

Doors are locked after 5, so arrive before 5, or go to south bldg. entrance and knock.

MASTR also offers review sessions, but the cost is $20. These are:

May 6th from 5:00-7:00pm and May 7th, 5:00-7:00pm
Contact:

Michelle Woodward
Director
MASTR, Math and Science Tutoring Resource
520-626-2484

See exam info below for more information on what to review
** Good luck everyone!!**
See new solutions posted below (5/07/09)

WebAssign: Some of your homework assignments will be through WebAssign. If you bought a new book, you should have received an access code in an insert in the back of your book, and you will have free access to WebAssign. If not, the cost for signing up is $15.45.

Access WebAssign at www.webassign.net
For first time registration/log-in information click here.
Some tips:

Pay attention to the variable.
After two attempts, stop and redo the problem.
Don't enter an equivalent expression when your attempt is marked wrong.
Leaving out parentheses is not just a careless mistake.
SIMPLIFY, even if not required to do so on WebAssign.
Trial and error is not an efficient way to answer a problem with a small number of attempts allowed.
Keep neat records of your scratchwork!
Not reading the problem carefully has consequences.
If you are doing your online homework properly, they will help prepare you for written homework, quizzes, and exams.

If you have technical difficulties with the Math Palette, try to reinstall Adobe Flash. You can get the current version here:
http://www.adobe.com/go/getflashplayer.

Also, you may try using a different web browser if this occurs. You can download the following free:

Mozilla Firefox: http://www.mozilla.com/en-US/
Microsoft Internet Explorer: www.microsoft.com/windows/downloads/ie/getitnow.mspx
Apple Safari: www.apple.com/safari/download

If you still have problems with WebAssign, contact the Webassign support, sending a detailed message of your problem directly to support@webassign.net.

Finally, if such issues occur that interfere with your finishing the assignment on time, email me and let me know!

Homework:
Current assignments are in yellow boxes. Due dates and problems are tentative until the homework set has been assigned. Homeworks will usually be due the next class after the section(s) on the assignment are finished in class, with the exception of lab day assignments, which will usually be due on the next lab day (Tuesday) after they are assigned.
* Note: Answers to all word problems MUST BE IN FULL SENTENCES, and graphs must be clearly labeled. HW denotes regular homework assignment, RA denotes Review Assignment. IC denotes In-Class work., WA denotes WebAssign (Note that these may not be assigned in order!).

Assignment	Problems	Date assigned	Date due	Date returned
HW #1	Section 3.1 #2, 4 (reasons for 2 and 4), 11, 12, 16, 20, 24, 25, 27, 30, 32, 33, 34, 38, 42, 44a, 45, 46, 47, 48, 54, 58, 66 Solutions	Fri. 1/16	Wed. 1/21	Fri. 1/23
RA #1	Sections (Appendix B) B.1, B.2, B.3 B.1 # 7, 10, 20, 22, 26, 28, 32, 36, 37, 38, 50 Solutions B.2 # 2, 4, 6, 8, 11, 14, 17, 34, 43, 44, 77, 78, 79, 80 Solutions B.3 # 2, 6, 7, 12, 14, 20, 26, 34, 47, 48, 49, 64, 69-74 Solutions	`Tues. 1/20	Tues. 1/27	Mon. 2/2
WA #4	WebAssign Assignment 4 (covers Sections 3.1 and 3.2)	Wed. 1/21	Fri. 1/23
HW #2	Section 3.2 # 6, 8, 14, 20 (reasons), 24, 26, 30, 34 Solutions Section 3.3 # 1, 2, 16, 22, 29, 34, 38, 39, 40, 43 Solutions (Corrections: #12 Answer: 6; #14 Ans: -7; #28 Ans: 2(x+a)-1, #38 Ans: t²-6t+9)	Wed. 1/21	Wed.. 1/28	Tues. 2/10
WA #5	WebAssign Assignment 5 (covers Sections 3.3 and 3.4)	Mon. 1/26	Fri. 1/30
RA #2	Section 1.7 # 4, 10, 14, 28, 30, 40, 46, 48, 60 Solutions	Mon. 1/26	Fri. 1/30	Fri. 2/13
HW #3	Section 3.4 # 2, 8, 18, 24, 27, 33, 37, 47, 54, 58, 62 Solutions (Correction: #27 Graph should be flipped vertically) Section 3.5 # 7, 20, 27, 28, 30, 32, 34. Solutions (Correction: #2c Ans: (f/h)(1) = 1)	Wed. 1/28	Mon. 2/2 Tues. 2/3	Fri. 2/13
RA #3	Sections (Appendix B) B.4 B.5 B.4 #2, 6, 12, 23, 62, 63, 64, 66, 71, 72 Solutions (Corrections: #12b Ans: (x-8)(x-2), #40 Solve by grouping. Ans: (2x-1)³ #66 can be simplified to -a/b(x)(ax+b)^-1/2 #71 Can be simplified to x(a² + x²)^-3/2(x+a)^-1/2) B.5 # 2, 4, 6, 10, 22, 26, 27, 40, 42, 43, 44, 46, 49, 50 Solutions	Tues. 1/27	Tues. 2/3	Fri. 2/13
HW #4	Section 3.6 # 5, 7, 8, 12, 18, 23, 28, 30, 31, 32, 42, 45, 47 (give reasons) Solutions	Mon. 2/2	Wed. 2/4	Fri. 2/13
WA #6	WebAssign Assignment 6 (covers 3.5 and 3.6)	Wed. 2/4	Mon. 2/9
RA #4	Section 1.6 # 2, 8, 10, 12, 20, 21, 22, 28, 32, 42 Solutions Section 2.1 # 6, 14, 16 (use completing the square to solve 6, 14, and 16), 24, 44, 50, 51 Solutions	Mon. 2/9	Wed. 2/11	Mon. 2/23
WA #7	WebAssign Assignment 7 (covers 1.6 - linear functions)	Tues. 2/10	Fri. 2/13
HW #5	Section 4.1 #2, 8, 9, 12, 14, 16, 18, 19, 22, 26, 36, 44, 52 Solutions Section 4.2 #6, 10, 25, 28, 38, 40, 44c, 45c, 47-50, 55, 60 Solutions	Mon. 2/9	Mon. 2/16 Tues. 2/17	Fri. 2/27
Quiz #3	Exam #1 Redo	Tues. 2/10	Tues. 2/17	Mon. 3/2
RA #5	Section 2.2 #2, 6, 8, 18, 32, 38, 46, 52, 54, 58, 61 Solutions Section 2.3 #6, 10, 18, 24, 26, 34, 42 Solutions Section 2.4 #1, 6, 8, 14, 20, 44 Solutions	Fri. 2/13	Fri. 2/20	Fri. 2/27
WA #1	WebAssign Assignment 1 (Algebra Review)	Fri. 1/23	Tues. 2/24
HW # 6	Section 4.4 #4, 6, 9, 13, 14, 15, 16, 17, 18, 19, 22, 26, 32, 33, 34, 35, 41, 42, 44, 45a, 50, 52 Solutions	Tues. 2/27	Mon. 2/23	Fri. 2/27
HW # 7	Section 4.5 # 1, 2, 3, 6, 10, 14, 16, 17, 26, 31, 32, 45, 47, 48, 50, 56 Solutions	Wed. 2/18	Wed. 2/25	Mon. 3/2
HW #8	Power Functions worksheet #1 a, b, c, d, g, 2 a, b,c, 3, 4 Section 4.6 # 1, 2, 11, 12, 17-22, 36, 44, 48, 62 Solutions	Mon. 2/24	Fri. 2/27	Mon. 3/2
WA #9	WebAssign Assignment 9 - If you have already started the assignmnet, you do not need to do #9-14 on polynomial division* (I have now removed them from the assignment). We haven't gone over this yet, so don't worry about these problems. Not doing them will not count against your grade for the assignment.	Mon. 2/24	Mon. 3/2
WA Exam2 Review	WebAssign Assignment Exam 2 Review OPTIONAL ASSIGNMENT This will replace your lowest homework score so far. **You do not need to do the polynomial division problems here either. (They have now been removed) You do not need to know how to do those for the exam-	Mon. 2/24	Mon. 3/2
WA #9b	WebAssign 9b polynomial division	Wed. 3/4	Fri. 3/6
WA #10	WebAssign 10 Rational functions	Fri. 3/6	Mon. 3/9
HW #9	Section 4.7 # 6, 24, 36, 38, 40, 44, 49a-d Solutions	Fri. 3/6	Tues. 3/10	Fri. 3/27
HW #10	Section 5.1 # 4,6,8, 12, 16, 20, 22, 28, 32, 36, 40, 45, 48, 59 Solutions Section 5.2 # 6,8 12, 14, 16, 20, 22, 24 32a, 36, 40, 41, 42, 55, 57 Solutions	Mon. 3/9	Wed. 3/11	Fri. 3/27
WA #11	WebAssign 10 Exponential and log functions	Tues. 3/10	Fri. 3/13
HW #11	Section 5.3 # 2, 4, 7, 11c,d, 22, 31, 43, 50, 51, 54, 57, 60, 69* (69 will be one of the problems graded) Solutions Section 5.4 # 2, 4, 6, 8, 10, 30, 38, 43, 52, 59, 63 (give reasons), 75 Solutions	Wed. 3/11	Tues. 3/24	Fri. 3/27
Quiz # 5	Exam #2 Redo. Redo all missed problems on a separate sheet, and staple it to your exam to turn in. SHOW ALL WORK, even on correct/incorrect and multiple choice!	Tues. 3/10	Tues. 3/24	Fri. 4/17
WA #12	WebAssign 12 Logs This is extended until Thursday and you have a few extra tries-	Mon. 3/23	Wed. 3/25 Thurs. 3/26
WA #2 &3	WebAssign #2 and #3 - Algebra review (Don't wait until the last minute to start these!)	Tues. 3/24	Fri. 4/3
HW # 12	Section 5.5 #1, 2, 3, 5, 8, 9, 10, 12, 15, 16, 18, 26, 34, 37, 42, 52, 62, 68, 80, 81, 96 Solutions Section 5.6 #2, 3, 4, 6, 8, 12, 17, 28 Solutions	Tues. 3/24	Fri. 3/27	Mon. 3/30
HW#13	Section 5.7 # 2, 3, 4, 7, 8, 13, 16, 18, 32 (For all book problems use continuous growth or decay models. Assume that growth/decay rates given are continuous growth/decay rates) Solutions Exponential Applications worksheet # 3, 4, 6, 7, 8 Solutions	Wed. 3/25	Mon. 3/30	Tues. 2/21
HW #14	Section 6.1 # 4, 16, 17, 22, 24, 28, 36, 43, 49, 51, 55 Solutions Section 6.2 # 2, 3, 6, 10, 14, 15, 24, 26, 28, 32, 34, 41, 60, 68, 69, 72, 90 Solutions	Wed. 4/1	Mon. 4/6	Tues. 2/21
HW #15	Section 6.3 #2, 5, 8, 16, 18, 24, 28, 29 Solutions Section 6.4 #2, 8, 15b, 17b, 20, 32, 34, 39, 42, 46, 52, 60, 80, 85,88 Solutions	Mon. 4/6	Fri. 4/10	Tues. 2/21
Quiz #6	Exam #3 Redo. Redo all missed problems on a separate sheet, and staple it to your exam to turn in. SHOW ALL WORK, even on correct/incorrect and multiple choice! If no work is shown for a problem, then no points will be given for that problem.	Tues. 4/7	Tues. 4/14
WA #13 &14	Webassign #13 and 14 -- Trig: Chapters 6 and 7	Mon. 4/6	Fri. 4/24
HW #16	Section 6.5 #2, 5, 8, 11, 13, 28, 30, 35, 40, 49, 54a Solutions	Fri. 4/17	Wed. 3/15	Tues. 4/21
HW #17	Section 7.1 # 2, 4, 10, 12, 15, 16, 23, 26, 31, 32, 34, 38, 42, 57 Solutions Section 7.2 # 2, 4, 6, 9, 10, 12, 16, 18, 20, 33, 38, 40, 50, 52, 56, 60 Solutions	Tues. 4/14	Fri. 4/17	Tues. 4/21
HW #18	Section 7.3 # 2, 8, 10, 26, 30, 34, 40, 41, 42, 43, 44, 45, 46, 48, 50 Solutions Section 7.5 #1, 6, 14, 15, 36, 39, 41, 43, Solutions	Mon.4/20	Wed. 4/22
Trig Lab	Carefully read the Lab Policy before doing the write-up for the Trig Lab on daylight hours. I will grade by the guildelines given in the lab policy. This lab is worth 50 pts., and everyone should turn in their own write-up. *NO LATE LAB WRITE-UPS WILL BE ACCEPTED*	Tues. 4/14	Fri. 5/1
HW #19	Section 8.2 # (part a and b only of 1, 4, 9, 12, 17, 18), 26, 29, 34ab, 38, 41 Section 8.5 # 2, 6, 14, 20, 21, 24, 30, 32, 38, 39, 40, 50, 58, 62, 70, 84, 87	Fri. 4/24	Tues. 4/28
HW #20	Section 8.4 # 4, 6, 12, 14, 17, 19, 20, 21, 26, 32, 36, 38, 40, 42, 43, 44, 45, 46, 47, 48, 50, 51 ------Last Homework! :) ---------------------------------------------------------------------------	Wed. 4/29	Mon. 5/4
	Homework grade replacement option: Do all problems from: Final exam review.pdf. Solutions to multiple choice are available, so you must show work to get credit for each of these problems	Fri. 5/1	Wed. 5/6

Exam Information:
    Exam 1 - Friday, February 6. Sections 3.1-3.6, Algebra: B.1-B.5, 1.7 A list of review topics can be found here.
       Review Problems (NOT to turn in!!): Chapter 3 Review problems: (p. 209-211) #1,2,7,8,10,11,12 (sketch and evaluate G(25), G(-1)), 18-24 (sketch graphs), 28,29,35-37, 41, 45, 46, 66, 67, 82, 83, 92, 93, 94.
          Section 3.4 #58, 58, Section 3.5 #2., Section 3.6 #47.
Review worksheet, quizzes, and Webassign assignments too because you can expect to see problems at the level of these problems.
             Review assignment review problems: Be comfortable with the problems listed. (Presumbly if you can handle these, you can solve the simpler ones). 1.7 # 44-46, B.1 #29-32, B.2 #41-43, Be aware of #77-80, B.3 #55-64, be aware of #69-74, B.4 #57, B.5 #31, 32, 37.

Exam 2 - Tuesday October 14, Sections 4.1, 4.2, 4.4-4.6, power functions. Algebra (all review material so far). List of review topics is here.
    There is an Exam 2 Review assignment on webassign, but don't think of this as a practice test! It will help you review most of the material, but be sure and look back over your notes and homeworks as well, because it doesn't include absolutely everything that you need to know.
    Review Problems from text (NOT to turn in!!): Chapter 4 Review problems: (p. 320-322). #2-15, 19-22 (be able to complete the square!), 24, 31, 34 (add the question: Find the average rate of change of the revenue on the interval [1,50]), 35, 39-50. Word problems: HW 4.4 and 4.5 - be able to set up equations, find max/min for quadratics, and find the practical domains. Look over worksheets as well. Review assignments: All material so far.

Exam 3 - Tuesday, March 31. Sections 4.7, 5.1-5.7. List of review topics is here.
    Review Problems (NOT to turn in!!):

Section 4.7 Review questions p.320-322 #9,11, 39-50.

Rational functions review worksheet

Chapter 5 Review questions p. 420-421 #2, 7, 10, 11, 12, 14, 15, 17, 18, 20, 21-32, 51-65, 67, 68, 85-89, 91-96, 103a.

Exponential functions worksheet: #1-13, 15-25a,b

Exponential applications worksheet: ALL example problems, except 5, which we didn’t do

WebAssign – Look over these and practice problems from these as well as regular homework/quizzes

ALGEBRA EXAM Monday, April 13th. No calculators allowed. Click on the links below to access practice worksheets. Work on these for exam practice. We will not get to review every single type of problems in class, but it doesn't mean those we didn't get to won't be on the exam. You should be able to do all these types of problems.

Algebra Practice Worksheet 1 (MS Word) Solutions

Exam 4 - Tuesday, April 28. Sections 6.1-6.5, 7.1-7.3, 7.5, 8.2, 8.5
Review Problems (NOT to turn in!!):

Chapter 6:

Review problems at end of chapter: #1,2, 15-18, 65-67, 83-86.

Problems from individual sections:Section 6.1 #26, Section 6.3 #1, 3 Section 6.4 #16b, 17b, Section 6.5 #27 a&b, 35, 38.

Chapter 7:

Review problems at end of chapter: # 5-15, 36, 42, 44, 47, 49, 55

Chapter 8:

Review problems at end of chapter: #6, 64-67, 72-74.

ALSO:

Formulas/identities to know

arc length formula (section 6.1)
sector area formula (section 6.1)
Identities: pp. 580 - 581: From the Principal Trig Identities:

#1 Consequences of the definitions
#2 The Pythagorean identities
#6 The double angle formulas

Be able to write functions given graphs or data like we did on homework and in lab
Be able to draw functions, given y= Asin(Bx+C) or y=Acos(Bx+C)

Be able to recognize periodic functions
Review webassign assignments #13 and #14

FINAL EXAM
         Monday, May 11th 8-10am in PAS 201
          Class Final Exam study session: Friday May 8, 3-6 pm in the MathEast lobby (1st floor, south end of building)
                Doors are locked after 5, so arrive before 5, or go to south bldg. entrance and knock.

Exam logistics:

Arrive by 7:50 so that you may be seated before the exam.
NO CELL PHONES, IPODS, OR EQUIVALENT DEVICES: Don't even bring them to the exam with you.
Baseball caps must be turned backward
Remember to bring the following items:

ID
a couple of pencils (+ erasers)
calculator (TI-82 up to TI-86 are ok. TI-89 and TI-92 are *not allowed*)

Exam studying

Study guides: The guides available on the precalc homepage are meant to provide some practice problems, but do not include everything.

In the link: "MATH 120R Review" on the precalc homepage, you will find a list of documents.

In the document "120 Final Review" you are NOT resonsible for numbers 28-33, 43, 44, and 52-56. These will NOT be on the final.
"Final-review problems" provides a mix of extra problems.
"120 Word Problems" gives practice word problems (sections 4.4-4.5)

"Final exam review" is a compiled set of suggested practice problems for the final. Complete this for a homework replacement grade (see homework list above).

**Solutions - multiple choice**
**Solutions - short answer** (posted 5/7/09)

CORRECTION: #38 answer should be -2(x-1)^2+18

"Preparing for the final" is a broad list of information and topics about the final.

.Also practice problems from Worksheets 1-14 on the pracalc homepage. (Click on "worksheets/handouts")
Look over exams 1-4
Know how to interpret the following points or features on graphs *in practical terms.* (practice with this by doing worksheets listed above).

linear functions - slopes and intercepts
quadratics - intercepts, vertex, logical domain and range
polynomials - max and mins, intercepts
rational functions - asymptotes, intercepts
exponential functions - bases and intercepts
sinusoidal functions - amplitude, period, phase shift, midline

Trig identities pp. 580 - 581: From the Principal Trig Identities:

#1 Consequences of the definitions
#2 The Pythagorean identities
#6 The double angle formula for sine only

Grades: You can access all your grades through the d2l website at http://d2l.arizona.edu. Click on "UA NetId Login" to get into the site to see your grades. On d2l, you may also view the distribution of grades for the class for any particular assignment.