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COLLEGE ALGEBRA
MAT 151 COURSE SYLLABUS
SUMMER I 2010

INSTRUCTOR:

Stephen J. Nicoloff
e-mail: [email protected]
web page: http://www2.pvc.maricopa.edu/~nicoloff
Phone: 602-787-6676
Office: Building G, Room 132

TEXT:

College Algebra with Modeling and Visualization 4th Edition
Gary Rockswold
(Course ID: nicoloff97078)

MATERIALS & OTHER RESOURCES:

Texas Instruments TI-83, or TI-84 or suitable Graphing Calculator.

Learning Support Center (LSC) Building E, Room 180
Monday - Thursday 8:00 AM – 7:00 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.

DVDs of each lesson are available for checkout in the library, for on campus viewing in the LSC and for your own copy in the Media Center in the library.

CLASS LOCATION:

Building K, Room 111

CLASS TIMES:

7:00 AM - 9:40 AM

SECTION NUMBER:

19726

COURSE DESCRIPTION:

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:

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.

TENTATIVE SCHEDULE
DATE OF CLASS MEETING	SECTIONS TO BE COVERED	TOPICS TO BE COVERED	ASSIGN # DUE DATE
(M) 6/1	Introduction 1.1 1.2 1.3	Introduction Numbers, Data, and Problem Solving Visualizing and Graphing Data Functions and Their Representations	#1 6/2
(W) 6/2	1.4 1.5 2.1	Types of Functions Functions and Their Rates of Change Linear Functions and Models	#2 6/3
(R) 6/3	2.2 2.3 2.4	Equations of Lines Linear Equations Linear Inequalities	#3 6/7
(M) 6/7	2.5 3.1 REVIEW	Absolute Value Equations and Inequalities Quadratic Functions and Models REVIEW	#4 6/9
(M) 6/8	3.2 TEST I	Quadratic Equations and Problem Solving CHAPTER 1 & SECTIONS (2.1 & 2.2)	#4 6/9
(W) 6/9	3.3 3.4 3.5	Complex Numbers Quadratic Inequalities Transformations of Graphs	#5 6/10
(R) 6/10	4.1 4.2 REVIEW	More Nonlinear Functions and Their Graphs Polynomial Functions and Models REVIEW	#6 6/15
(M) 6/14	LAST DAY TO WITHDRAW WITHOUT INSTRUCTOR’S SIGNATURE
(M) 6/14	4.3 TEST II	Real Zeros of Polynomial Functions SECTIONS (2.3 - 2.5) & CHAPTER 3	#6 6/15
(M) 6/15	4.4 4.5 4.6	Real Zeros of Polynomial Functions The Fundamental Theorem of Algebra Rational Functions and Models	#7 6/16
(W) 6/16	4.7 4.8 5.1	More Equations and Inequalities Radical Equations and Power Functions Combining Functions	#8 6/17
(R) 6/17	5.2 REVIEW	Inverse Functions and Their Representations REVIEW	#9 6/22
(M) 6/21	5.3 TEST III	Exponential Functions and Models CHAPTER 4	#9 6/22
(M) 6/22	5.4 5.5 5.6	Logarithmic Functions and Models Properties of Logarithms Exponential and Logarithmic Equations	#10 6/23
(W) 6/23	LAST DAY TO WITHDRAW WITH INSTRUCTOR’S SIGNATURE
(W) 6/23	5.7 6.1 REVIEW	Constructing Nonlinear Models Functions and Equations in Two Variables REVIEW	#11 6/28
(R) 6/24	6.2 TEST IV	Systems of Equations and Inequalities in Two Variables CHAPTER 5	#11 6/28
(M) 6/28	6.3 6.4	Systems of Linear Equations in Three Variables Solutions to Linear Systems using Matrices	#12 6/29
(M) 6/29	6.5 6.6 6.7	Properties and Applications of Matrices Inverses of Matrices Determinants	#13 6/30
(W) 6/30	REVIEW	REVIEW
(R) 7/1	TEST V	CHAPTER 6

TENTATIVE SCHEDULE

DATE OF CLASS MEETING

SECTIONS TO BE COVERED

TOPICS TO BE COVERED

ASSIGN # DUE DATE

(M) 6/1

Introduction
1.1
1.2
1.3

Introduction
Numbers, Data, and Problem Solving
Visualizing and Graphing Data
Functions and Their Representations

#1 6/2

(W) 6/2

1.4
1.5
2.1

Types of Functions
Functions and Their Rates of Change
Linear Functions and Models

#2 6/3

(R) 6/3

2.2
2.3
2.4

Equations of Lines
Linear Equations
Linear Inequalities

#3 6/7

(M) 6/7

2.5
3.1
REVIEW

Absolute Value Equations and Inequalities
Quadratic Functions and Models
REVIEW

#4 6/9

(M) 6/8

3.2
TEST I

Quadratic Equations and Problem Solving
CHAPTER 1 & SECTIONS (2.1 & 2.2)

#4 6/9

(W) 6/9

3.3
3.4
3.5

Complex Numbers
Quadratic Inequalities
Transformations of Graphs

#5 6/10

(R) 6/10

4.1
4.2
REVIEW

More Nonlinear Functions and Their Graphs
Polynomial Functions and Models
REVIEW

#6 6/15

(M) 6/14

LAST DAY TO WITHDRAW WITHOUT INSTRUCTOR’S SIGNATURE

(M) 6/14

4.3
TEST II

Real Zeros of Polynomial Functions
SECTIONS (2.3 - 2.5) & CHAPTER 3

#6 6/15

(M) 6/15

4.4
4.5
4.6

Real Zeros of Polynomial Functions
The Fundamental Theorem of Algebra
Rational Functions and Models

#7 6/16

(W) 6/16

4.7
4.8
5.1

More Equations and Inequalities
Radical Equations and Power Functions
Combining Functions

#8 6/17

(R) 6/17

5.2
REVIEW

Inverse Functions and Their Representations
REVIEW

#9 6/22

(M) 6/21

5.3
TEST III

Exponential Functions and Models
CHAPTER 4

#9 6/22

(M) 6/22

5.4
5.5
5.6

Logarithmic Functions and Models
Properties of Logarithms
Exponential and Logarithmic Equations

#10 6/23

(W) 6/23

LAST DAY TO WITHDRAW WITH INSTRUCTOR’S SIGNATURE

(W) 6/23

5.7
6.1
REVIEW

Constructing Nonlinear Models
Functions and Equations in Two Variables
REVIEW

#11 6/28

(R) 6/24

6.2
TEST IV

Systems of Equations and Inequalities in Two Variables
CHAPTER 5

#11 6/28

(M) 6/28

6.3
6.4

Systems of Linear Equations in Three Variables
Solutions to Linear Systems using Matrices

#12 6/29

(M) 6/29

6.5

6.6
6.7

Properties and Applications of Matrices
Inverses of Matrices
Determinants

#13 6/30

(W) 6/30

REVIEW

(R) 7/1

TEST V

CHAPTER 6

STUDENT INFORMATION/SYLLABUS ACKNOWLEDGEMENT FORM
Course Prefix & Number______________	Semester__________________________
Lecture Section Number______________	Phone # (_____)-___________________
e-mail address_________________________________
I have received a copy of the syllabus, and I understand the following:

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.

__________________________________________________________________ Student Printed Name
__________________________________________________________________ Student Signature	____________________________ Date

COLLEGE ALGEBRA MAT 151 COURSE SYLLABUS SUMMER I 2010

COLLEGE ALGEBRA
MAT 151 COURSE SYLLABUS
SUMMER I 2010