Instructor: Ron Koppenheffer
Office: Ferguson 110
Office Hours: Tu-Wed-Th 1:00-3:00 or by appointment
Credit Hours: 3.0 Contact Hours: 3.0
Class Location: ELM 344
Class Meeting Times: 8:00am –8:50am MWF
Prerequisite(s): MAT 080 or MAT 090
Corequisite: MAT 171 A01
Required Text: Sullivan & Sullivan, Algebra and Trigonometry Enhanced
with Graphing Utilities , fifth Edition
ISBN: 978-0-13-600492-9
Calculator: A scientific calculator is required for this course. I
suggest a
TI-83 or equivalent .
Course Description: This is the first of two courses designed to
emphasize topics which are fundamental to the study of calculus. Emphasis
is placed on equations and inequalities , functions (linear, polynomial,
rational), systems of equations and inequalities, and parametric equations.
Upon completion, students should be able to solve practical problems and
use appropriate models for analysis and prediction . This course has been
approved to satisfy the Comprehensive Articulation Agreement general
education core requirement in natural science/mathematics.
Course Goal: Upon completion, students should be able to solve practical
problems and use appropriate models for analysis and prediction.
Course Specific Competencies: Upon successful completion of the
course, the student will be able to:
• Visualize the dual roles of geometry and algebra.
• Define, graph, perform operations on, and apply functions.
• Solve equations and inequalities containing a single variable.
• Evaluate polynomial functions and rational functions.
• Solve polynomial and rational equations.
• Solve equations and inequalities containing two or more variables .
Reinforcement Experiences for General Education Cross-
Curriculum Competencies:
•Communicate effectively in speaking, writing, reading, and listening.
•Locate, evaluate, and use information to analyze problems and make
logical decisions .
• Apply math skills and/or natural science knowledge appropriately to
organize, analyze and make information useful.
• Develop the ability to succeed as a self-directed learner.
Topical Outline:
I. Graphs, Equations, and Inequalities (Chapter 1)
1.1 Rectangular Coordinates; Graphing Utilities; Introduction to Graphing
Equations
1.2 Solving Equations Using a Graphing Utility; Linear and Rational Equations
1.3 Quadratic Equations
1.4 Complex Numbers; Quadratic Equations in the Complex Number System
*** Test 1/ Sections 1.1 –1.4***
1.5 Radical Equations ; Equations Quadratic in Form; Absolute Value Equations;
Factorable Equations
1.6 Problem Solving: Interest, Mixture, Uniform Motion, Constant Rate Jobs
1.7 Solving Inequalities
*** Test 2/ Sections 1.5 –1.7***
II. Graphs (Chapter 2)
2.1 Intercepts; Symmetry; Graphing Key Equations
2.2 Lines
2.3 Circles
2.4 Variation
***Test 3/ Sections 2.1 –2.4***
III. Functions and Their Graphs (Chapter 3)
3.1 Functions
3.2 The Graph of a Function
3.3 Properties of Functions
3.4 Library of Functions; Piecewise-defined Functions
3.5 Graphing Techniques: Transformations
3.6 Mathematical Models: Building Functions
***Test 4/ Sections 3.1 –3.6***
IV. Linear and Quadratic Functions (Chapter 4)
4.1 Linear Functions, Their Properties and Linear Models
4.2 Building Linear Models from Data
4.3 Quadratic Functions and Their Properties
4.4 Building Quadratic Functions from Verbal Descriptions and from Data
4.5 Inequalities Involving Quadratic Functions
***Test 5/Sections 4.1 –4.5***
V. Polynomial and Rational Functions (Chapter 5)
5.1 Polynomial Functions and Models
5.2 Properties of Rational Functions
5.3 The Graph of a Rational Function
***Test 6/Sections 5.1- 5.3***
5.4 Polynomial and Rational Inequalities
5.5 The Real Zeros of a Polynomial Function
5.6 Complex Zeros; Fundamental Theorem of Algebra
***Test 7/Sections 5.4- 5.6***
VI. Analytic Geometry (Chapter 11.7) and Systems of Equations and
Inequalities
(Chapter 12)
11.7 Plane Curves and Parametric Equations
12.1 Systems of Linear Equations: Substitution and Elimination
12.2 Systems of Linear Equations: Matrices
12.4 Systems of Linear Equations: Determinants
12.7 Systems of Inequalities
***Test 8/Sections 11.7, 12.1- 12.4 & 12.7***
***Final Exam***
