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PRECALCULUS
MAT 187 COURSE
SYLLABUS
SPRING 2014

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| TEXT: |
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PreCalculus Mathematics for Calculus 6th Edition by Stewart, Redlin and Watson
ISBN: 978-0-8400-6807-1
Enhanced WebAssign ISBN: 978-0-538-73810-1 |
| MATERIALS & OTHER RESOURCES: |
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Texas Instruments TI-83, or TI-84
or suitable Graphing Calculator. Tutoring in the Math Center in Q Building or
Learning Support Center (LSC) Building E, Room 180
Monday - Thursday 8:00 AM – 7:00 PM
Friday 8:00 AM – 5:00 PM
Saturday 9:00 AM – 1:00 PM
Drop-in and individual Tutoring
Khan Academy
Just Math Tutorials
Math is Power 4 U |
| CLASS LOCATION: |
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Building Q, Room 209 |
| CLASS DAYS AND TIMES: |
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MW 8:30 AM - 10:45 AM |
| SECTION NUMBER: |
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40266 |
| COURSE DESCRIPTION: |
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A precalculus course combining topics from college algebra and trigonometry. Preparation for analytic geometry and calculus. Prerequisites: Grade of B or better in MAT120, or MAT121, or MAT122, or equivalent, or satisfactory score on district placement exam. |
COURSE COMPETENCIES:
Upon Successful completion of this course, you will have mastered
the following basic competencies:
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Find real and complex zeros of polynomial functions.
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Calculate and interpret average rate of change.
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Determine the inverse of a relation when represented numerically, analytically, or graphically.
- Analyze and interpret the behavior of functions, including domain and range, end behavior,
increasing and decreasing intervals, extrema, asymptotic behavior, and symmetry.
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Determine whether a function is one-to-one when represented numerically, analytically, or graphically.
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Determine whether a relation is a function when represented numerically, analytically, or graphically.
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Graph polynomial, rational, exponential, logarithmic, power, absolute value, piecewise-defined,
and trigonometric functions.
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Perform operations, including compositions, on functions and state the domain of the resulting function.
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Solve polynomial, rational, exponential, logarithmic, and trigonometric equations analytically and graphically.
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Use transformations to graph functions.
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Communicate process and results in written and verbal format.
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Compare alternative solution strategies.
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Justify and interpret solutions to application problems.
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Model and solve real-world problems.
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Read and interpret quantitative information when presented numerically, analytically, or graphically.
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Find and evaluate inverse trigonometric functions.
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Use the definition and properties of trigonometric functions and formulas to solve application problems.
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Verify trigonometric identities.
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PVCC
General Education Learning Outcome: Problem Solving
This course will help you meet PVCC’s General Education
Problem Solving Outcome by enabling you to
define problems, collect and analyze quantitative information,
develop reasonable interpretations and appropriate mathematical
models to solve problems, compare alternative solution strategies,
and communicate process and results. Your ability to use quantitative
methods to analyze information and solve problems will be measured
using PVCC’s cross-discipline rubric which measures the
following dimensions of problem solving:
1. Define the problem.
2. Develop a plan to solve the problem.
3. Collect and analyze appropriate information.
4. Interpret findings to determine plausible solutions.
5. Evaluate the effectiveness of the problem-solving process
and the results obtained.
6. Communicate the results.
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PVCC MATHEMATICS DIVISION EXPECTED
STUDENT BEHAVIOR FOR SUCCESS AND STUDENT CODE OF CONDUCT
- As a college student you need to discipline yourself as to your
study habits and classroom behavior. Get to class at least a couple
of minutes early. You are expected to at least be on time for each
class and remain seated for the entire class. If you must leave
early, it is considered only common courtesy to leave quietly and
to have informed your instructor beforehand. Please leave iPads,
iPods, tablets, laptop computers, cell phones and other electronic devices off. Inattentiveness,
disruptiveness or extensive tardiness or absences may affect a student's
grade.
- If for some reason you decide to drop this course, you are advised
to discuss it first with your instructor. If you are having difficulties,
please see your instructor before giving up or dropping the class. A grade of W will be assigned
if you drop before the withdraw date that is in your student center in my.maricopa.edu. After that date, you will be withdrawn from the class with a grade of W, for excessive absences, or by student request. Excessive absences will be the equivalent of missing 2 weeks of class without the instructor's knowledge. If you are still on the class roster at the end of the semester, you
will be assigned a grade of A, B, C, D or F, based on your class
average.
- Undergraduate study is time consuming. You can anticipate spending
two or more hours of study, reading and research for every hour you
spend in the classroom. To earn three hours of academic credit, classes
must meet for a minimum of forty-five (45) classroom hours. You should expect to spend an additional 6 hours per week outside of class for study, reading and research, for a total of (90) additional hours per semester. Take these
demands seriously as you plan your academic schedule.
- Have your homework completed before class starts. Please feel free
to contact me whenever you run into difficulty, and make use of the
LSC.
- Have questions ready from the previous night's homework and be seated
when class begins.
- Continuously self-test.
- Make it a goal to attend all classes and stay the entire class period. There is a high correlation between regular class attendance, punctuality,
and good grades. Even though you are absent for any reason, you are
still responsible for all homework and material covered in class.
Get notes from another student for classes missed.
- Ask questions – participate, don't wait for someone else to
ask questions.
- Be prepared as if you expect a quiz every day.
- It is the student's responsibility to understand and follow all
of the policies found in the Paradise Valley Community College Catalog and Student Handbook.
- The student is responsible for all information contained in the
syllabus.
- Students are PROHIBITED from digitally recording classes without Dr. Nicoloff�s permission.
- Your [email protected] e-mail account is the official form of communication between PVCC and you. You are responsible for reading college messages and responding accordingly.
- Make note of Section 2.5.1, Section A, paragraph 4, pages 145 and 146 in the
PVCC Student Handbook regarding the college’s policy on the
misuse of computer technology.
- Make note of the district and college policy on the student code of conduct located here: Maricopa County Community College District Student Code of Conduct.
- Students with disabilities who believe that they need accommodations
in this class are encouraged to contact Disability Resources and Services
in the Gina Kranitz Student Center, Room 1207 or call 602–787–7171
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ALL PROVISIONS IN THIS SYLLABUS ARE
SUBJECT TO REVISION BY THE INSTRUCTOR. SUCH REVISIONS, IF ANY, WILL BE ANNOUNCED
IN CLASS AND POSTED ON THE INSTRUCTOR'S WEBSITE AT THE FOLLOWING ADDRESS:
https://www2.paradisevalley.edu/~nicoloff/changes.html |
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| CLASS ATTENDANCE: |
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Attendance
and punctuality is required!! Read the school catalog to become
familiar with policies on withdrawals and incompletes. There will be no
make-up tests or quizzes, students must be present on test and quiz days. |
| ASSIGNMENTS: |
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Assignments are required and will be due at the
beginning of class. They will be worth 100 pts. toward the final
grade. The assignments will consist of the problems on Enhanced WebAssign. Late homework will not be accepted. Late homework is defined
to be any homework that is completed after the beginning of class
on the day it is due. |
| TESTING: |
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There will be up to 10 unannounced quizzes worth
100 pts. (10 pts. each) There will be 5 - 100 pt. tests during
the semester to cover all chapters studied, and a final exam,
worth 150 pts. |
| GRADING: |
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| Quizzes |
100 |
A=90-100% |
765-850 pts |
| Homework |
100 |
B=80-89% | 680-764 pts |
| Tests |
500 |
C=70-79% |
595-679 pts |
| Final Exam |
150 |
D=60-69% |
510-584 pts |
| Total |
850 |
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| TENTATIVE SCHEDULE |
| DATE OF CLASS MEETING |
SECTIONS TO BE COVERED |
TOPICS TO BE COVERED |
ASSIGN # DUE DATE |
| (M) 1/13 |
Introduction
1.7
1.8
1.9
1.10
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Introduction
Inequalities
Coordinate Geometry
Graphing Calculators;Solving Equations and Inequalities Graphically
Lines
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#1 1/15 |
| (W) 1/15 |
2.1
2.2
2.3 |
What is a function?
Graphs of functions
Getting Information from the Graph of a Function |
#2 1/22 |
(M) 1/20
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NO CLASS |
MARTIN LUTHER KING OBSERVANCE |
| (W) 1/22 |
2.4
2.5
2.6 |
Average Rate of Change of a function
Transformation of functions
Combining Functions |
#3 1/27 |
| (M) 1/27 |
2.7
3.1
3.2 |
One-to-One Functions and Their Inverses
Quadratic Functions and Models
Polynomials Functions and Their Graphs |
#4 1/29 |
| (W) 1/29 |
3.3
3.4
3.5 |
Dividing Polynomials
Real Zeros of Polynomials
Complex Numbers |
#5 2/3 |
| (M) 2/3 |
3.6
3.7
REVIEW |
Complex Zeros and the Fundamental Theorem of Algebra
Rational Functions
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#6 2/10 |
| (W) 2/5 |
TEST I |
TEST I CHAPTER 2 & SECTIONS (3.1 - 3.3)
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| (M) 2/10 |
4.1
4.2
4.3 |
Exponential Functions
The Natural Exponential Function
Logarithmic Functions
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#7 2/12 |
| (W) 2/12 |
4.4
4.5
4.6 |
Laws of Logarithms
Exponential and Logarithmic Equations
Modeling with Exponential and Logarithmic Equations |
#8 2/19 |
| (M) 2/17 |
NO CLASS |
PRESIDENT'S DAY OBSERVANCE |
(W) 2/19
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5.1
5.2
5.3 |
The Unit Circle
Trigonometric Functions of Real Numbers
Trigonometric Graphs |
#9 2/24 |
| (M) 2/24 |
5.4
5.5
REVIEW
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More Trigonometric Graphs
Inverse Trigonometric Functions and Their Graphs
REVIEW
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#10 3/3 |
| (W) 2/26 |
TEST II |
TEST II SECTIONS (3.4 - 3.6) & CHAPTER 4
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| (M) 3/3 |
6.1
6.2
6.3
6.4 |
Angle Measure
Trigonometry of Right Triangles
Trigonometric Functions of Angles
Inverse Trigonometric Functions and Right Angles
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#11 3/5 |
| (W) 3/5 |
6.5
6.6
7.1 |
The Law of Sines
The Law of Cosines
Trigonometric Identities |
#12 3/17 |
| (M) 3/10 |
NO CLASS |
SPRING BREAK |
| (W) 3/12 |
NO CLASS |
SPRING BREAK |
| (M) 3/17 |
7.2
7.3
7.4 |
Addition and Subtraction Formulas
Double-Angle, Half-Angle, and Sum-Product Formulas
Basic Trigonometric Equations |
#13 3/19 |
| (W) 3/19 |
7.5
REVIEW |
More Trigonometric Equations
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#14 3/26 |
| (M) 3/24 |
TEST III |
TEST III CHAPTERS (5 & 6) |
| (W) 3/26 |
8.1
8.2
10.1 |
Polar Coordinates
Graphs of Polar Equations
Systems of Linear Equations in Two Variables
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#15 3/31 |
| (M) 3/31 |
10.2
10.3
10.4 |
Systems of Linear Equations in Several Variables
Matrices and Systems of Linear Equations
The Algebra of Matrices |
#16 4/2 |
(W) 4/2 |
10.5
10.6
10.7
10.8
10.9 |
Inverse of Matrices and Matrix Equations
Determinants and Cramer's Rule
Partial Fractions(Optional)
Systems of Nonlinear Equations
Systems of Inequalities
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#17 4/7 |
| (M) 4/7 |
11.1
11.2
11.3
11.4 |
Parabolas
Ellipses
Hyperbolas
Shifted Conics
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#18 4/16
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| (W) 4/9 |
REVIEW
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REVIEW |
(M) 4/14
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TEST IV
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TEST IV CHAPTERS (7,8, &10)
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| (W) 4/16 |
12.1
12.2
12.3
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Sequences and Summation Notation
Arithmetic Sequences
Geometric Sequences
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#19 4/21 |
| (M) 4/21 |
12.4
12.5
12.6 |
Mathematics of Finance
Mathematical Induction
The Binomial Theorem |
#20 4/23 |
| (W) 4/23 |
REVIEW |
REVIEW |
(M) 4/28 |
TEST V |
TEST V CHAPTERS (11 & 12) |
| (W) 4/30 |
REVIEW |
REVIEW |
(W) 5/7 |
COMPREHENSIVE
FINAL EXAM |
8:30 AM - 10:20 AM |
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STUDENT
INFORMATION/SYLLABUS ACKNOWLEDGEMENT FORM |
Course Prefix & Number______________ |
Semester__________________________ |
Lecture Section
Number______________ |
Phone # (_____)-___________________ |
e-mail address_________________________________ |
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I have received a copy of the syllabus, and I understand the following: |
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| A) The instructor contact information and the most appropriate way to use this information. |
| B) I am responsible for all course material and preparation for class. |
| C) All of the policies and procedures for this course, especially the Grading, Attendance and Withdrawal Policies. |
| D) I am responsible for knowing all of the information that pertains to my legal rights that are contained in the current Paradise Valley Community College (PVCC) Student Handbook and
College Catalog. |
| E) In order to receive any special accommodations for this class I must register myself with the PVCC Disability Resource Center. |
| F) The class syllabus is subject to change, and it is my responsibility to know the changes. |
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__________________________________________________________________
Student Printed Name |
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__________________________________________________________________
Student Signature |
____________________________
Date
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Last updated Monday, April 21, 2014 3:25 PM
Paradise Valley Community
College
URL-http://www2.pvc.maricopa.edu/~nicoloff/187MWsyl20142.html
© 2014 Maricopa County
Community College District. All Rights Reserved.
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