Precalculus
This course provides a working knowledge of Precalculus and its applications. It begins with a review of algebraic operations. Emphasis is on solving and graphing equations that involve linear, polynomial, exponential, and logarithmic functions. Students learn to graph trigonometric and inverse trigonometric functions and learn to use the family of trigonometric identities. Other topics include conic sections, arithmetic and geometric sequences, and systems of equations.
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Course Objectives
After completing this course, you will be able to:
 Perform operations on real numbers and polynomials.
 Simplify algebraic, rational, and radical expressions.
 Solve linear and quadratic equations and inequalities.
 Solve word problems involving linear and quadratic equations and inequalities.
 Solve polynomial, rational, and radical equations and applications.
 Solve and graph linear, quadratic, absolute value, and piecewisedefined functions.
 Perform operations with functions as well as find composition and inverse functions.
 Graph quadratic, the square root, cubic, and cube root functions.
 Graph and find zeroes of polynomial functions.
 Graph quadratic functions by completing the square, using the vertex formula, and using transformations.
 Solve and graph exponential and logarithmic equations.
 Express angle measure in degrees or radians.
 Evaluate and simplify trigonometric expressions.
 Know the six trigonometric functions and how to evaluate those trigonometric functions using positions on the unit circle with respect to the right triangle.
 Graph trigonometric and inverse trigonometric functions.
 Use trigonometric functions to solve a right triangle and apply the Law of Sines and the Law of Cosines to solve triangles that are acute or obtuse.
 Solve systems of linear equations and inequalities.
 Model and solve applications using linear systems.
 Evaluate and find partial sums of a series.
 Evaluate and find sums of an arithmetic sequence and a geometric sequence.
 Solve application problems involving arithmetic and geometric sequences and series.
 Define, identify, and graph conic sections including circle, ellipse, parabola, and hyperbola.
Topic  Lesson Topic  Subtopics  Objectives 
1  Geometry and Measurement 


2  Basic Algebraic Operations 


3  Linear Equations and Inequalities in One Variable 


4  Polynomial and Other Equations 


5  Functions and Graphs 


6  Operations on Functions and Analyzing Graphs 


7  Graphing Polynomial and Rational Functions 


8  Exponential and Logarithmic Equations 


9  Exponential and Logarithmic Equations 


10  An Introduction to Trigonometric Functions 


11  Trigonometric Identities 


12  Applications of Trigonometry 


13  Systems of Equations and Inequalities 


14  Conic Sections 


15  Sequences and Series 


16  Course Review 


StraighterLine suggests, though does not require, that students take College Algebra or its equivalent before enrolling in Precalculus.
Required Textbook: This course has assigned reading.
Title: Precalculus eTextbook
ISBN: 9780077799885
Our Price: $92.51
The Barnett, Ziegler, and Byleen, "College Algebra" series is designed to be user friendly and to maximize student comprehension. The goal of this series is to emphasize computational skills, ideas, and problem solving rather than mathematical theory. "Precalculus" introduces a unit circle approach to trigonometry and can be used in one or two semester college algebra with trig or precalculus courses. The large number of pedagogical devices employed in this text will guide a student through the course. Integrated throughout the text, students and instructors will find ExploreDiscuss boxes which encourage students to think critically about mathematical concepts. In each section, the worked examples are followed by matched problems that reinforce the concept being taught. In addition, the text contains an abundance of exercises and applications that will convince students that math is useful. A Smart CD is packaged with the seventh edition of the book. This CD reinforces important concepts, and provides students with extra practice problems.
Barnett, Raymond A., Michael R. Ziegler, and Karl E. Byleen. Precalculus, 6th edition, McGrawHill, 2008. ISBN: 9780073312637
StraighterLine provides a percentage score and letter grade for each course. A passing percentage is 70% or higher.
If you have chosen a Partner College to award credit for this course, your final grade will be based upon that college's grading scale. Only passing scores will be considered by Partner Colleges for an award of credit.
There are a total of 1000 points in the course.
Final Proctored Exam
The final exam is developed to assess the knowledge you learned taking this course. All students are required to take an online proctored final exam in order complete the course and be eligible for transfer credit.
This course provides a working knowledge of Precalculus and its applications. It begins with a review of algebraic operations. Emphasis is on solving and graphing equations that involve linear, polynomial, exponential, and logarithmic functions. Students learn to graph trigonometric and inverse trigonometric functions and learn to use the family of trigonometric identities. Other topics include conic sections, arithmetic and geometric sequences, and systems of equations.