Course Syllabus for Precalculus Algebra
CONTACT HOURS: 3 CREDIT HOURS: 3
CCL 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 predictions. This course
has been
approved to satisfy the Comprehensive Articulation Agreement general education
core
requirement in natural science and mathematics.
PREREQUISITE(S): MAT 080 or MAT 090
COREQUISITE(S): MAT 171A Precalculus Algebra Lab
TEXTBOOK:
Sullivan & Sullivan, Algebra and Trigonometry Enhanced with Graphing
Utilities, 5^{th} Edition, ISBN 9780136004929
DELIVERY METHOD: Traditional with Web Support
GRADING POLICY:
Homework (20%) Chapter Tests (60%)
Final Examination (20%)
CONTENT OUTLINE:
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
1.5 Radical Equations; Equations in Quadratic Form; Absolute Value Equations;
Factorable Equations
1.6 Problem Solving: Interest; Mixture; Uniform Motion; Constant Rate Jobs
1.7 Solving Inequalities
2.1 Intercepts ; Symmetry; Graphing Key Equations
2.2 Lines
2.3 Circles
2.4 Variation
3.1 Functions
3.2 The Graph of a Function
3.3 Properties of Functions
3.4 Library of Functions; PiecewiseDefined Functions
3.5 Graphing Techniques: Transformations
3.6 Mathematical Models : Building Functions
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
5.1 Polynomial Functions and Models
5.2 Properties of Rational Functions
5.3 The Graph of a Rational Function
5.4 Polynomial and Rational Inequalities
5.5 The Real Zeros of a Polynomial Function
5.6 Complex Zeros; the Fundamental Theorem of Algebra
11.7 Plane Curves and Parametric Equations
12.1 Systems of Linear Equations: Substitution and Elimination
12.2 Systems of Linear Equations: Matrices
12.3 Systems of Linear Equations: Determinants
12.7 Systems of Inequalities
COMMENTS: Any policy concerning the possible acceptance of a late
assignment or
the possibility of a special arrangement that might be made with the student who
missed a
scheduled examination due to circumstances beyond his/her control is left to the
discretion of
the instructor.
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