# Finite Mathematics MATH 1630

## I. Course Description

A traditional college algebra or first course in
precalculus. Topics include functions/inverses and their

graphs, inequalities, linear equations and functions, quadratic equations and
functions, radical

expressions and equations, polynomial functions, rational expressions and
functions including

complex and partial fractions, exponential and logarithmic functions, complex
numbers, matrices,

determinants, systems of equations, sequences and series, and applications.

**Credit Hours**: 3 credits 3 class hours **
Prerequisite: DSPM 850**

## II. Course Outcomes and Topics

Upon completion of this course, the student will:

· Use mathematical analysis and problem solving skills in real-world
applications using data,

modeling, and/or information with expressions, equations, formulas, and
functions.

· Create, analyze, describe, and differentiate the graphic representations of
various polynomial

functions, including the characteristics of slope (rate of change), graphic
behavior, intercepts,

transformation, and symmetry.

· Solve polynomial, rational, absolute value, radical, exponential, and
logarithmic equations

graphically and algebraically as appropriate, and apply them to real world
situations.

· Solve systems of linear equations by a variety of methods, including matrix
methods.

**Topics**

Linear Equations

Applications and Modeling with Linear Equations

Complex Numbers

Quadratic Equations

Applications and Modeling with Quadratic Equations

Other Types of Equations

Inequalities

Absolute Value Equations and Inequalities

Graphs of Equations

Functions

Linear Functions

Equations of Lines; Curve Fitting

Graphs of Basic Functions

Graphing Techniques

Quadratic Functions and Models

Synthetic Division

Zeros of Polynomial Functions

Polynomial Functions: Graphs, Applications, and Models

Function Operations and Composition

Inverse Functions

Exponential Functions

Logarithmic Functions

Evaluating Logarithms and the Change-of-Base Theorem

Exponential and Logarithmic Equations

Applications and Models of Exponential Growth and Decay

Systems of Linear Equations

Determinant Solution of Linear Systems

Nonlinear Systems of Equations

Properties of Matrices

Matrix Inverses

Partial Fractions

Systems of Inequalities and Linear Programming (optional)

Sequences and Series

Arithmetic Sequences and Series (optional)

Geometric Sequences and Series (optional)

Mathematical Induction

## III. Required Materials

**Students must check with the instructor before
purchasing any materials.
Required: Precalculus: Graphs and Models package **(text, MyMathLab Access

Kit, Graphing calculator manual), 4th edition, by Bittenger, Beecher, Ellenbogen, Penna;

Publisher: Pearson, ISBN 0321530136

**Required Calculator/software: **A graphing calculator
is strongly recommended or required. The

TI-84+ calculator will be the demonstration tool in the classroom. MyMathLab
and/or other software

may be used. (The instructor will clarify.)

**-if purchased separately-**

**Required** textbook only, Precalculus: Graphs and
Models, 4th edition, by Bittenger,

Beecher, Ellenbogen, Penna; Publisher: Pearson;** ISBN 0321525345**

MyMathLab Student Access Kit alone, **ISBN 032119991X**

Graphing Calculator Manual alone, ISBN 0321531981

**OPTIONAL:** Student Solution Manual, ISBN 0321531973

## IV. Course Policies

Attendance: The college catalog states that, "A student
who misses class for two consecutive

weeks without contacting the instructor or who violates the instructor’s stated
attendance policy

will be administratively with-drawn from the course and given a grade of WF.”
This course shall

follow the college catalog. Please be advised that instructors also may have a
more specific class

policy.

Method of Evaluation: Grading: 90-100 A, 80-89 B, 70-79 C, 60-69 D, below 60 F

The instructor will clarify specific examination, homework, and other methods of evaluation.

## V. ADA Statement

Nashville State Technical Community College complies with
the Americans with Disabilities Act. If

you wish to request any special accommodations for any courses in which you are
enrolled, contact

the Disability Coordinator at 353-3721 in the Student Services building, D-26.
Such services must

have proof of documentation that is not over three years old.

## VI. Classroom Behavior

**Nashville State Community College has a zero tolerance
policy for disruptive conduct in the
classroom. Students whose behavior disrupts the classroom will be subject to
disciplinary
sanctions.**

The instructor has primary responsibility for control over
classroom behavior and maintenance of

academic integrity. He/she can order **temporary** removal or exclusion from
the classroom of any

student engaged in disruptive conduct or in conduct which violates the general
rules and regulations

of the College.

Disruptive behavior in the classroom may be defined as,
but is not limited to, behavior that obstructs

or disrupts the learning environment (e.g., offensive language, harassment of
students and

professors, repeated outbursts from a student which disrupt the flow of
instruction or prevent

concentration on the subject taught, failure to cooperate in maintaining
classroom decorum, etc.), the

continued use of any electronic or other noise or light emitting device which
disturbs others (e.g.,

disturbing noises from beepers, cell phones, palm pilots, lap-top computers,
games, etc.).

**Please be aware that children are not allowed in class
or unattended on campus.**

**Academic Dishonesty **(Honor Code)

Any form of academic dishonesty, cheating, plagiarizing,
or other academic misconduct is prohibited.

“Plagiarism may result from: (1) failing to cite quotations and borrowed ideas,
(2) failing to enclose

borrowed language in quotation marks, and (3) failing to put summaries and
paraphrases in your own

words” (A Writer’s Reference 331). Academic dishonesty may be defined as, but is
not limited to,

intentionally trying to deceive by claiming credit for the work of another
person, using information from

a web page or source without citing the reference, fraudulently using someone
else’s work on an

exam, paper, or assignment, recycling your own work from another course,
purchasing papers or

materials from another source and presenting them as your own, attempting to
obtain

exams/materials/assignments in advance of the date of administration by the
instructor,

impersonating someone else in a testing situation, providing confidential test
information to someone

else, submitting the same assignment in two different classes without requesting
both instructor’s

permission, allowing someone else to copy or use your work, using someone else’s
work to complete

your own, altering documents, transcripts or grades, and forging a faculty/staff
member’s signature.

**In addition to other possible disciplinary sanctions
that may be imposed through regular
college procedures as a result of academic dishonesty the instructor has the
authority to
assign an “F” or a “Zero” for the exercise, paper, or examination or to assign
an “F” for the
course.**

NOTE: This syllabus is meant simply as a guide and
overview of the course, the topics, the

objectives, the general assessments, and some standard college policies. Some
items are subject to

change or revision at the instructor’s discretion. Each instructor will further
clarify their criteria for

grading, classroom procedures, attendance, exams and dates, etc.