Fayetteville State University

College of Art and Sciences

Department of Mathematics & Computer Science

MATH 129-02Precalculus Mathematics I

Spring 2009

  1. LOCATOR INFORMATION:

Instructor: Dr. Wu Jing MyMathLab Course ID: jing29274

Course # and Name: MATH 129 Precalculus Mathematics I Office Location: Lyons Science 128

Semester Credit Hours: 3 Classroom: Taylor 101

Day and Time Class Meets: MWF11:00-11:50 Office Phone: 910-672-2205

Email address: Homepage:

Office hours: MWF 10:00-11:00 & 2:00-3:00 or by appointment

FSU Policy on Electronic Mail:
FayettevilleStateUniversity provides to each student, free of charge, an electronic mail account () that is easily accessible via the Internet. The university has established FSU email as the primary mode of correspondence between university officials and enrolled students. Inquiries and requests from students pertaining to academic records, grades, bills, financial aid, and other matters of a confidential nature must be submitted via FSU email. Inquiries or requests from personal email accounts are not assured a response. The university maintains open-use computer laboratories throughout the campus that can be used to access electronic mail. Rules and regulations governing the use of FSU email may be found at
  1. COURSE DESCRIPTION

Mathematics 129, Precalculus Mathematics I, is the first of a two-semester sequence that provides a background for students who are preparing to take calculus. Topics include sets, the real number system, exponents, radicals, polynomials, equations, inequalities, functions, relations, graphing conic sections, rational, exponential and logarithmic functions. Prerequisites: High School Algebra I, II and Plane Geometry or equivalent, and satisfactory profile examination score. A graphing calculator is required.

  1. DISABLED STUDENT SERVICES

In accordance with Section 504 of the 1973 Rehabilitation Act and the Americans with Disabilities Act (ACA) of 1990, if you have a disability or think you have a disability to please contact the Center for Personal Development in the Spaulding Building, Room 155 (1st Floor); 910-672-1203.

  1. TEXTBOOK

Sullivan,Sullivan Algebra and Trigonometry Enhanced with Graphing Utilities, Custom Edition for

Fayetteville State University, Pearson Custom Publishing.

Please note: The access code for MyMathLab is REQUIRED.

  1. BEHAVIORAL OBJECTIVES (AND COMPETENCIES)

The proposed objectives and competencies are realized as students:

Use the properties of real numbers and basic rules of algebra.

Solve equations and inequalities encountered in elementary calculus.

Determine which relations are functions, and use function concepts in mathematical applications.

Graph polynomial, rational, irrational, exponential and logarithmic functions.

Employ the concepts of algebra as a problem-solving tool.

  1. COURSE COMPETENCIES

DPI

1.0Ability to recognize and solve problems.

1.1Use mathematics and technological tools to solve “real world” problemsthat arise in social

sciences, biological sciences, physical sciences, and other mathematical sciences.

2.1Understand the concepts of variable, expression, equation, inequality, andthe properties of integers, rational numbers, and real numbers.

a. Represent situations and number patterns with tables, graphs, verbal rules, and equations;

explore connections between these representations

b. Analyze tables and graphs to identify properties and relationships.

c. Solve linear and non-linear equations and inequalities and systemsusing concrete, formal and

informal methods.

d. Have knowledge of diverse examples of functions arising from avariety of problem situations

and investigate the properties of thesefunctions through appropriate technologies,

including graphingutilities and graphing calculators.

e. Know the conic sections including their geometric properties and theirrelationship to the

general second-degree equation in two variables.

4.9Understand the concepts of polynomial and rational expressions, roots,and apply algebraic

algorithms.

  1. Demonstrate a thorough knowledge of the properties of polynomial withrational or real

coefficients including the relationships between roots and factors, the roles of complex roots,

and tests for rational roots.

b. Apply the Fundamental Theorem of Algebra.

11.1Develop and analyze algorithms for computational efficiency.

11.2Develop skills in using interactive and recursive techniques in solving problems.

11.5Use computers and graphing calculators to explore mathematical concepts.

NCATE

10.MATHEMATICS PREPARATION

a.Programs prepare prospective teachers who--

i.Use a problem-solving approach to investigate and understand mathematical content.

ii.Formulate and solve problems from both mathematical and everydaysituations.

b.Programs prepare prospective teachers who can communicate mathematical ideas.

i.In writing, using everyday mathematical language, including symbols.

ii.Orally, using both everyday and mathematical language.

c.Programs prepare prospective teachers who can make and evaluate mathematical conjectures

and arguments and validate their own mathematical thinking.

d.Programs prepare prospective teachers who—

i.Show an understanding of the interrelationships within mathematics.

ii.Connect mathematics to other disciplines and real-world situations.

e.Programs prepare prospective teachers who—

i.Understand and apply concepts of number, number theory and number Systems.

ii.Understand and apply numerical, computational and estimation techniques and extend them to

algebraic expressions.

f.Programs prepare prospective teachers who—

i.Use calculators in computational and problem-solving situations.

ii.Use computer software to explore and solve mathematical problems.

11.TEACHER PREPARATION

2.1Programs prepare prospective teachers who can identify and model strategies used for problem-

solving in grades 7-12.

  1. Programs prepare prospective teachers who use graphing calculators, computers and other

technologies as tools for teaching mathematics.

  1. EVALUATION CRITERIA

Attendance: Attendance is COMPULSORYand will be taken daily.

Homework: There will be weekly online homework. All homework will be done through MyMathLab. No late homework will be accepted. The lowest two homework grades will be dropped.

Test: There will be five chapter tests. The lowest test grade will be dropped. There will be NO make-up exams. If you miss one test, that will be the one dropped. If you miss more than one, any beyond the first will be counted as zero. Make-up exams will be given ONLY in the case of documented absences due to family emergencies, illness or official university functions.

Final: Final exam is comprehensive.

A90 - 100% / Test (4 out of 5) 40%
B80 - 89% / Homework 30% Mymathlab
C70 - 79% / Instructor Option 10%
D 60 - 69% / Final Exam 20%
F below 60%

VII.COURSE REQUIREMENTS:

1.Students are responsible for availing themselves for all class meetings, tutorial sessions, computer lab sessions, and individual help from the instructor.

2.Students are responsible for maintaining a notebook of problems selected by the instructor. Students are encouraged to include as many additional problems as possible.

3.There will be a test on each chapter, and there will be a comprehensive final examination. All tests will be announced prior to their administration.

4.Students are expected to enter the classroom on time and remain until the class ends. Late arrivals and/or early departures will be noted in the record book. The class attendance policy given in the 2000-2002 FSU Catalogue will be strictly adhered to.

5.Students must refrain from smoking, eating and drinking in the classroom. The rights of others must be respected at all times.

6.Students are encouraged to ask questions of the instructor in class and to respond to those posed by the instructor. They should not discourage others from asking or answering questions. Other students often have the same questions on their minds, but are hesitant to ask.

7.Students are expected to complete all class assignments, to spend adequate time on their class work, and to read each topic prior to class discussion to ensure that the course outcomes are met.

8.Talking in class between students is strictly unacceptable. Discussions should be directed to the instructor.

9.Extra recitation periods and/or computer lab attendance are mandatory for students whose grades fall below "C". They must meet with the instructor to arrange for extra activities.

10.Dishonesty on graded assignments will not be tolerated. Students must neither give nor receive help on any work to be graded. The University policy on cheating will be applied to any violations. The minimum penalty will be a grade of zero on the assignment.

11.Please do not bring your children to class.

VIII.TEACHING STRATEGIES

Math 129 is a lecture-based course. Each lecture will contain a summary of the most important concepts from each chapter. The graphing calculator will be utilized to bring clarity and understanding to each concept or theory discussed. Questions will be posed to the class daily to measure their comprehension of particular concepts.

IX.COURSE OUTLINE WITH ASSIGNMENT SCHEDULE:

LECTURE / SECTIONS
1 / 1.1 Rectangular Coordinates; Graphing Utilities; Introduction to Graphing Equations
2 / 1.2 Solving Equations Using Graphing Utility; Linear and Rational Equations
3 / 1.3 Quadratic Equations
4 / 1.4 Complex Numbers; Quadratic Equations in the Complex Number System
5 / 1.5 Radical Equations; Equations Quadratic in form; Absolute Value Equations; Factorable Equations
6 / 1.6 Problem Solving; Interest, Mixture, Uniform Motion, Constant Rate Jobs
7 / 1.7 Solving Inequalities
8 / 1.8 Lines
9 / 1.9 Circles
TEST # 1
10 / 2.1 Symmetry; Graphing Key Equations
11 / 2.2 Functions
12 / 2.3 The Graphs of Functions
13 / 2.4 Properties Of Functions
14 / 2.5 Linear Functions and Models
15 / 2.6 Library of Functions; Piecewise-defined Functions
16 / 2.7 Graphing Techniques; Transformations
TEST # 2
16 / 3.1 Quadratic Functions and Models
17 / 3.2 Polynomial Functions and Models
18 / 3.3 Properties of Rational Functions
19 / 3.4 The Graph of a Rational Function; Inverse and Joint Variation
20 / 3.5 Polynomials and Rational Inequalities
21 / 3.6 The Real Zeros of a Polynomial Function
22 / 3.7 Complex Zeros; Fundamental Theorem of Algebra
TEST # 3
23 / 4.1 Composition Functions
24 / 4.2 One-to-one Functions; Inverse Functions
25 / 4.3 Exponential Functions
26 / 4.4 Logarithmic Functions
27 / 4.5 Properties of Logarithms
28 / 4.6 Logarithms and Exponential Equations
29 / 4.7 Compound Interest
TEST # 4
26 / 5.1 System of Linear Equations; Substitution and Elimination
30 / 5.5 Partial Fraction Decomposition
31 / 5.6 Systems of Linear Equations and Inequalities
TEST # 5
FINAL EXAM / Monday, May 4th, 10:00-11:50am

X. REFERENCES:

Burzynski, Willis & Lodi, PRECALCULUS WITH TRIGONOMETRY: USING THEGRAPHING CALCULATOR, PWS Publishing Co., Boston, MA, 1995.

Christy, Dennis T., FUNDAMENTALS OF ALGEBRA AND TRIGONOMETRY, William C. Brown

Publishing Co., Dubuque, IA, 1993.

Demana , Franklin & Waits, Bert K., COLLEGE ALGEBRA AND TRIGONOMETRY,Addison-

Wesley Publishing Co., Reading, MA, 1991.

Kaufmann, Jerome E., PRECALCULUS, 3rd Edition, PWS-Kent Publishing Co., Boston, MA, 1995.

1