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COLLEGE ALGEBRA FLEX EXPRESS
MAT 151 COURSE SYLLABUS
FALL 2011

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| TEXT and REQUIRED MATERIALS: |
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College Algebra with Modeling
and Visualization 4th Edition Gary Rockswold
My Labs Plus |
| OTHER RESOURCES: |
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Learning Support Center (LSC) Building
E, Room 180
Q Building Math Center
Hours: M-R 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
MAT 108. This course provides structured tutorial assistance and
math study skills to help students achieve success in a mathematics
course in which they are concurrently enrolled. Mathematics study
skills are emphasized. This course may be repeated for a maximum
of 10 credits.
Co-requisites: Concurrent enrollment in MAT151.
On-line chat, on the web at:http://pvc.blackboard.maricopa.edu/
TBD
Scheduled weekly office hour. |
| CLASS LOCATION: |
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Building Q, Room 305 |
| SECTION NUMBER: |
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11614 |
| COURSE DESCRIPTION: |
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Analysis and interpretation of the
behavior and nature of functions including polynomial, rational,
exponential, logarithmic, power, absolute value, and piecewise-defined
functions; systems of equations, modeling and solving real world
problems. Additional topics may include matrices, combinatorics,
sequences and series, and conics. Prerequisites: Grade of "C"
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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- Analyze and interpret the behavior of functions, including
end behavior, increasing and decreasing, extrema, asymptotic
behavior, and symmetry.
- Solve polynomial, rational, exponential, and logarithmic
equations analytically and graphically.
- Find real and complex zeros of polynomial functions analytically
and graphically.
- Graph polynomial, rational, exponential, logarithmic, power,
absolute value, and piecewise-defined functions.
- Determine domain and range of polynomial, rational, exponential,
logarithmic, power, absolute value, and piecewise-defined
functions.
- Use transformations to graph functions.
- Perform operations, including compositions, on functions
and state the domain of the resulting function.
- Determine whether a relation is a function when represented
numerically, analytically, or graphically.
- Determine whether a function is one-to-one when represented
numerically, analytically, or graphically.
- Determine the inverse of a relation when represented numerically,
analytically, or graphically.
- Classify functions by name when represented numerically,
analytically, or graphically.
- Determine regression models from data using appropriate
technology and interpret results.
- Read and interpret quantitative information when presented
numerically, analytically, or graphically.
- Justify and interpret solutions to application problems.
- Compare alternative solution strategies.
- Calculate and interpret average rate of change.
- Model and solve real world problems.
- Solve systems of three linear equations in three variables.
- Solve systems of linear inequalities.
- Communicate process and results in written and verbal formats.
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PVCC General Education Learning Outcome: Problem Solving
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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/COMPUTER SCIENCE
DIVISION EXPECTED
STUDENT BEHAVIOR FOR SUCCESS
- 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 beepers,
iPods, 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.You will be dropped for non-attendance or excessive absences. Excessive absences will be considered, missing the equivalent of 2 weeks without instructor knowledge or prior approval. A grade of W will be assigned
if you drop before the withdraw date that is in your student center in my.maricopa.edu. If you are dropped after that date (your instructor has the right to refuse to drop you after this date)
your drop grade will reflect your status at that time, you will get
a W if you are passing and a Y if you are failing.
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. 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 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 Article III, Section B, paragraph 15, page 171 in the
PVCC Student Handbook regarding the college’s policy on the
misuse of computer technology.
- Make note of the college’s policy on Academic Misconduct Section
2.3.11 found on pages 149 through 150.
- Students with disabilities who believe that they need accommodations
in this class are encouraged to contact the Disability Resource Center
in the Gina Kranitz Student Center, Room119 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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| COURSE WORK: |
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You are expected to spend 4 hours
per week on the computer doing your lessons. All parts of the
Homework and Study Plan must be done by the required
due date. (See the tentative schedule section) One (1) point
may be deducted from your homework grade for each hour less than
the recommended 4 hours per week. |
| CLASS ATTENDANCE: |
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This class is a 4 credit hour course.
As such, attendance in this class will be determined by being
online to do course work a minimum of 4 hours per week. You will
also be required to make contact with your instructor at least
once a week as part of you attendance. This requirement may be
in 3 different ways:
- An email with a comment on your progress,
- An office visit, or
- Participating in the weekly on-line chat.
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| ASSIGNMENTS: |
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Assignments will be worth 150 pts. toward the
final grade. They consist of online homework worth 100 points
and additional assignments worth 50 points.
Do the online homework problems only after you have done the Section
Video on the computer! Late homework will not
be accepted. The due dates are on the page with the schedule. Extenuating
circumstances will be allowed only with prior approval from
the instructor. |
| TESTING: |
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There will be four tests, worth 150 pts. each
and a final exam worth 200 pts. All of the lessons for each topic
covered on the tests must be done completely before the test is
taken.
Tests
must be taken on Tuesday of the week given!! Special consideration may
be made if Tuesday is not possible. But no test may be taken after
Thursday of that week. |
| GRADING: |
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| Homework |
150 |
A=90-100% |
855-950 pts |
| Tests |
600 |
B=80-89% |
760-854 pts |
| Final Exam |
200 |
C=70-79% |
665-759 pts |
| Total |
950 |
D=60-69% |
570-664 pts |
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| TENTATIVE COURSE
SCHEDULE |
| WEEK OF |
SECTIONS TO BE COVERED |
TOPICS TO BE COVERED |
ASSIGN # DUE DATE |
| 8/22 |
1st Class Meeting Introduction
1.1
1.2
1.3 |
Introduction
Numbers, Data, and Problem Solving
Visualization and Graphing Data
Functions and Their Representations |
#1 8/29 |
| 8/29 |
1.4
1.5
2.1
2.2 |
Types
of Functions
Functions and Their Rates of Change
Linear Functions and Models
Equations of Lines |
#2 9/5 |
| 9/5 |
2.3
2.4
2.5 |
Linear Equations
Linear Inequalities
Absolute Value Equations and Inequalities |
#3 9/12 |
| 9/12 |
2nd Class Meeting
3.1
3.2
3.3
3.4 |
Quadratic Functions and Models
Quadratic Equations and Problem Solving
Complex Numbers
Quadratic Inequalities |
#4 9/19 |
| 9/13 |
TEST I |
CHAPTERS (1 & 2) |
| 9/19 |
3.5
4.1
4.2 |
Transformations
of Graphs
More Nonlinear Functions and Their Graphs
Polynomial Functions and Models |
#5 9/26 |
| 9/26 |
4.3
4.4
4.5
4.6 |
Division of Polynomials
Real Zeros of Polynomial
Functions
The Fundamental Theorem of Algebra
Rational Functions and Models |
#6 10/3 |
| 10/3 |
4.7
4.8
5.1 |
More Equations
and Inequalities
Radical Equations and Power Functions
Combining Functions |
#7 10/10 |
| 10/10 |
3rd Class
Meeting
5.2
5.3
5.4
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Inverse Functions and Their Representations
Exponential Functions and Models
Logarithmic Functions and Models |
#8 10/17 |
| 10/11 |
TEST II |
CHAPTERS (3 & 4) |
| 10/17 |
5.5
5.6
5.7 |
Properties of Logarithms
Exponential and Logarithmic Equations
Constructing Nonlinear Models |
#9 10/24 |
| 10/24 |
4th Class
Meeting
6.1
6.2
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Functions and
Equations in Two Variables
Systems of Equations and Inequalities
in Two Variables |
#10 10/31 |
| 10/25 |
TEST III |
CHAPTER 5 |
| 10/31 |
6.3
6.4
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Systems of Linear
Equations in Three Variables
Solutions to Linear
Systems Using Matrices |
#11 11/7 |
| 11/7 |
7.2
7.3 |
Ellipses
Hyperbolas |
#12 11/14 |
| 11/14 |
8.1
8.2 |
Sequences
Series |
#13 11/21 |
| 11/21 |
5th Class
Meeting
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REVIEW |
| 11/22 |
TEST IV |
CHAPTERS (6, 7 & 8) |
| 11/28 |
Review |
REVIEW |
| 12/5 |
FINAL EXAM |
FINAL EXAM |
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