MATH 150 Fall 2009

AzusaPacificUniversity

College of Liberal Arts and Sciences

Department of Mathematics and Physics

Math 150 – Precalculus

Fall 2009

MWF 8:20 – 9:15 am

Segerstrom 170

InstructorBryant Mathews, Ph.D.

Assistant Professor

E-mail

Phone(626) 815-6000 x6536

Fax(626) 387-5907

Emergency(626) 815-6470 (department office)

OfficeSegerstrom 107

Office Hours

Drop-in:MW 1:30-2:30 pm, F 10:30-11:30 am

Appointment:MW 4:15-5:15 pm (sign up on Google spreadsheet,

linked from the course website)

TextbookPrecalculus, Third Edition

Beecher, Penna, Bittinger

Addision/Wesley 2008

ISBN 0-321-46006-5

Credit3 units

Course Websitehome.apu.edu/~bmathews

Announcements and assignments will be posted on

the course website. You are responsible for checking

it regularly.

DescriptionThis course prepares students for the calculus

(APU Catalog)sequence. Topics covered include number systems,

analytic geometry, elementary function theory

(including logarithmic and trigonometric functions),

and basic proof techniques.

Prerequisite: proficiency in high school algebra

or MATH 110, appropriate score on APU mathematics placement test, or SAT 600/ACT 26 math score

Student The following tablelists the student learning outcomes

Learning along with the manners in which they will be assessed.

Outcomes

Student Learning Outcome / Assessment
Explore and analyze the relationship between Christian faith and mathematics /
  • Mathematics and faith paper

Demonstrate the ability to read and comprehend a mathematical text /
  • Comprehension problems

Present solutions through writing on a board and verbal explanation /
  • Participation in group presentations

Apply basic principles and techniques in new ways to solve more complex problems in mathematics and its applications /
  • Homework
  • Examinations

Attain proficiency in the mathematics prerequisite to the study of calculus /
  • Homework
  • Examinations

Student Learning Outcome / Assessment
Draw and interpret the graphs of functions, equations, and inequalities /
  • Comprehension problems
  • Homework
  • Examinations

Master the definitions, properties, and applications of polynomial, exponential, logarithmic, and trigonometric functions /
  • Comprehension problems
  • Homework
  • Examinations

Prove and apply trigonometric identities /
  • Comprehension problems
  • Homework
  • Examinations

Apply the computational techniques associated with sequences, series, permutations, and combinations /
  • Comprehension problems
  • Homework
  • Examinations

Prove statements using mathematical induction /
  • Comprehension problems
  • Homework
  • Examinations

Math CenterThe Math Center, in Segerstrom 170, is staffed by experienced math students on Monday-Thursday from 2:00-8:00 pm. The Math Center is also a good place for you to work together with other students on your homework.

CollaborationI encourage you to work together on your homework and to

Policyshare ideas, but the actual written work that you turn in should be your own. A good rule of thumb is that, while you are writing up a homework problem, you should not be looking at anyone else’s writing. Your solution should represent your own understanding. Any copying of homework will be reported to the Vice Provost.

GradingComprehension Problems (completion)15%

Homework(correctness)13%

Midterm 117%

Midterm 217%

Final34%

Faith Integration4%

Total100%

The lowest 17% will be dropped from the exam grades (either a midterm or half of the final).

All scores will be posted on eCompanion, which you can access at online.apu.edu .

Grading Final letter grades will be computed using the following scale.

ScaleThe instructor may choose to add a fixed number of points to all

students' scores on particular assignments or exams in order to maintain an appropriate average score.

A93-100

A-90-93

B+87-90

B83-87

B-80-83

C+77-80

C73-77

C-70-73

D+67-70

D63-67

D-60-63

F0-60

Class FormatThis course will be part lecture, part problem-solving discussion. My goal is to use classroom time as efficiently as possible to maximize your learning. We will treat each section from the text in four stages:

1)Pre-reading

You will be responsible for reading each section before we cover it in class. It’s okay if you don’t understand everything, but you should write down any questions you have so that you can ask them during class.

2)Comprehension Problems

After reading a section and before coming to class, you will complete several simple problems to check your comprehension. We will devote the first part of class to going over these problems. You must bring your textbook to class. Several teams will be called up to the board to write down and present their solutions. The remaining teams will check the work of the teams at the board.

We will discuss the problems and take note of common mistakes. After the discussion, you will hand in these comprehension problems. You may not write on this paper after we begin class. (Feel free to take notes on another paper.) You will receive a grade (0, 1, or 2) for the assignment based only on whether you have attempted the problems, not on correctness.

3)Lecture / Problem Solving

The remainder of the class period will consist of targeted lecture and further team problem solving, intended to fill in gaps in understanding, attack more challenging problems, and explore applications.

4)Homework

After we finish with a topic in class, you will complete several more challenging problems which will help you to solidify your grasp of the material and to apply it in new ways. These problems will be handed in during the next class period and graded for correctness (0, 1, or 2 for each problem).

TeamsEach student will be assigned to a team. The teams will change after each midterm. Teams will sit together in class and will present solutions at the board together.

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MATH 150 Fall 2009

CalculatorsYou will need a scientific calculator to complete some of the homework problems. A graphing calculator would be especially useful in deepening your graphical insight in this course. If you do not want to purchase a calculator, you may use the free website gcalc.net, or any other software. You will not need a calculator during class, and calculators are not allowed on exams.

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MATH 150 Fall 2009

Homework

Policies

  • Your work must be stapled. Please write your name and the course number (Math 150) at the top of the first page.
  • Your comprehension problems and homework will be turned in separately and so should be stapled separately.

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MATH 150 Fall 2009

  • Each set of comprehension problems will be weighted equally, as will each homework assignment. Your lowest two scores on homework assignments will be dropped.
  • Late comprehension problems or homework will not be accepted.
  • To receive credit, you must show your work, in the proper order. Put a box or a circle around final answers.
  • You should write clearly, using complete sentences for any explanations.
  • Please do not make a second column of problems on the right half of the page.

ExamsThe 2 midterm exams and 1 final exam will all be in-class written exams. You will not be permitted to use a calculator, your book, notes, or any other aid. All you need to bring is a pencil.

The final exam must be taken in order to pass the class.

There will be no make-up exams.

FaithFollowing a classroom discussion, one 2-4 page paper (double

Integrationspaced) will beassignedin which you will respond to one of several writing prompts on the relationship between mathematics and Christian faith. This paper will be graded on a scale from 0 to 10.

Attendance and Class attendance and participation will figure into resolving

Participationborderline grades.

APUMissionAzusaPacificUniversity is an evangelical Christian

Statementcommunity of disciples and scholars who seek to

advance the work of God in the world through academic excellence in liberal arts and professional programs of higher education that encourage students to develop a Christian perspective of truth and life.

Department The Department of Mathematics and Physics at Azusa

MissionPacificUniversity: 1) offers undergraduate degree programs

Statementin mathematics and physics, a single-subject waiver for a

teaching credential in mathematics, and a pre-degree engineering program; 2) provides general education mathematics and science courses consistent with the outcomes of a liberal arts education; and 3) prepares students for graduate study or success in their chosen careers.

DisabilityStudents in this course who have a disability that might

Statementprevent them fromfully demonstrating their abilities should meet with an advisor in the Learning Enrichment Center (x3849) as soon as possible to initiate disability verification and discuss accommodations that may be necessary to ensure full participation in the successful completion of course requirements.

Academic “The mission of Azusa Pacific University includes cultivating in

Integrityeach student not only the academic skills that are required for a

Policyuniversity degree, but also the characteristics of academic integrity that are integral to a sound Christian education. It is therefore part of the mission of the university to nurture in each student a sense of moral responsibility consistent with the biblical teachings of honesty and accountability. Furthermore, a breach of academic integrity is viewed not merely as a private matter between the student and an instructor but rather as an act which is fundamentally inconsistent with the purpose and mission of the entire university. A complete copy of the Academic Integrity Policy is available in the Office of Student Life, the Office of the Vice Provost for Undergraduate Programs, and online.”

Expectations for this course regarding academic integrity, and consequences for violations, are consistent with those outlined in the academic integrity policy.

UniversityAll university policies affecting student work, appeals, and

Policygrievances, as outlined in the Undergraduate Catalog, will apply.

Fall 2009 Calendar

Monday

/ Tuesday /

Wednesday

/ Thursday / Friday
SEPTEMBER7 / 8 / 9
Classes begin / 10 / 11
14 / 15 / 16 / 17 / 18
Add/Drop deadline
21 / 22 / 23 / 24 / 25
28 / 29 / 30 / OCTOBER 1 / 2
5 / 6 / 7 / 8 / 9
Review
12
Midterm 1 / 13 / 14
Study Day / 15 / 16
19 / 20 / 21 / 22 / 23
26 / 27 / 28 / 29 / 30
NOVEMBER 2 / 3 / 4 / 5 / 6
9 / 10 / 11
Review / 12 / 13
Midterm 2
Withdraw deadline
16 / 17 / 18 / 19 / 20
23 / 24 / 25 / 26 27
Thanksgiving Vacation
30 / DECEMBER 1 / 2 / 3 / 4
7
Paper Due / 8 / 9 / 10 / 11
Review
14
Final Exam
7:30-9:30 am / 15 / 16 / 17 / 18

The following schedules are subject to change. Please see website for updated information.

Week / Day / Date / Sec / Topic
1 / W / Sep 9 / 1.1 / Introduction to graphing
1.2 / Functions and graphs
F / Sep 11 / 1.6 / The algebra of functions
1.7 / Symmetry and transformations
2 / M / Sep 14 / 2.2 / The complex numbers
2.3 / Quadratic equations, functions, and models
W / Sep 16 / 2.4 / Analyzing graphs of quadratic functions
F / Sep 18 / 3.1 / Polynomial functions and models
3.2 / Graphing polynomial functions
3 / M / Sep 21 / 3.5 / Rational functions
W / Sep 23 / 3.6 / Polynomial and rational inequalities
F / Sep 25 / 4.1 / Inverse functions
4 / M / Sep 28 / 4.2 / Exponential functions and graphs
W / Sep 30 / 4.3 / Logarithmic functions and graphs
F / Oct 2 / 4.4 / Properties of logarithmic functions
5 / M / Oct 5 / 4.5 / Solving exponential and logarithmic equations
W / Oct 7 / 4.6 / Growth and decay
F / Oct 9 / Review
6 / M / Oct 12 / Midterm 1 / covering chapters 1-4
F / Oct 16 / 5.1 / Trigonometric functions of acute angles
7 / M / Oct 19 / 5.2 / Applications of right triangles
W / Oct 21 / 5.3 / Trigonometric functions of any angle
F / Oct 23 / 5.4 / Radians, arc length, and angular speed
8 / M / Oct 26 / 5.5 / Circular functions: graphs and properties
W / Oct 28 / 5.6 / Graphs of transformed sine and cosine functions
F / Oct 30 / 6.1 / Identities: Pythagorean, sum, and difference
9 / M / Nov 2 / 6.2 / Identities: cofunction, double-angle, and half-angle
W / Nov 4 / 6.3 / Proving trigonometric identities
F / Nov 6 / 6.4 / Inverses of the trigonometric functions
10 / M / Nov 9 / 6.5 / Solving trigonometric equations
W / Nov 11 / Review
F / Nov 13 / Midterm 2 / covering chapters 5-6
11 / M / Nov 16 / Mathematics and faith
W / Nov 18 / 7.1 / The law of sines
F / Nov 20 / 7.2 / The law of cosines
12 / M / Nov 23 / 7.3 / Complex numbers: trigonometric form
W / Nov 25 / 10.1 / Sequences and series
10.2 / Arithmetic sequences and series
13 / M / Nov 30 / 10.3 / Geometric sequences and series
W / Dec 2 / 10.4 / Mathematical induction
F / Dec 4 / 10.5 / Combinatorics: permutations
14 / M / Dec 7 / 10.6 / Combinatorics: combinations
Paper Due / Mathematics and faith
W / Dec 9 / 10.7 / The binomial theorem
F / Dec 11 / Review
M / Dec 14 / Final / half chapters 7-10, half chapters 1-6

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