Pre-calculus –

mth225

(4 credits)

This course prepares students for success in calculus. A brief review of college algebra topics is presented including linear, polynomial, radical, rational and absolute value, functions, and equations. Students also examine systems of equations, exponential, logarithmic, and trigonometric functions as well as analytic geometry. In addition, students are introduced to sequences and series.

This undergraduate-level course is 7 weeks. To enroll, speak with an Enrollment Advisor.

Topics and Objectives

Introduction to Functions
- Examine the notion of function and its notation.
- Analyze graphs of functions including inverse functions.
- Graph functions including inverse functions.
- Use different methods to find the roots of polynomials.
- Apply the fundamental theorem of algebra.
- Apply the use of functions to real-world situations.
Rational, Logarithmic, and Exponential Functions
- Determine the domain of a rational function.
- Identify the vertical, horizontal, and slant asymptotes of a rational function.
- Solve exponential and logarithmic functions.
- Analyze the relationship between exponential and logarithmic functions.
- Analyze graphs of exponential and logarithmic functions.
- Apply exponential and logarithmic functions to real-world problems.
Conic Sections, Sequences, and Series
- Differentiate among the equations for conic sections.
- Examine how transformations affect conic sections.
- Use sequence and summation notation.
- Solve arithmetic series.
- Solve geometric sequences and series.
Systems of Equations
- Solve systems of linear equations in two variables.
- Solve systems of linear equations in three variables.
- Calculate solutions using Gaussian elimination.
- Calculate solutions using inverse matrices.
- Calculate solutions using Cramer’s rule.
Trigonometric Functions and Identities
- Convert angle measures between degrees and radians.
- Construct the unit circle.
- Use the unit circle to find the values of trigonometric functions.
- Apply trigonometric functions to solve right triangles.
- Describe the graphs of trigonometric functions.
- Analyze values of inverse trigonometric functions.
- Manipulate trigonometric identities.
Trigonometric Equations, Law of Sines, Law of Cosines, and Polar Coordinates
- Solve trigonometric equations.
- Solve oblique triangles using the Laws of Sines and Cosines.
- Convert coordinates between polar and rectangular.
- Convert equations between polar and rectangular.
Precalculus Content Review
- Review all topics and objectives from Weeks One through Six.

The University of Phoenix reserves the right to modify courses.
While widely available, not all programs are available in all locations or in both online and on-campus formats. Please check with a University Enrollment Advisor.
Transferability of credit is at the discretion of the receiving institution. It is the student’s responsibility to confirm whether or not credits earned at University of Phoenix will be accepted by another institution of the student’s choice.

Pre-calculus –

mth225

Introduction to Functions

Rational, Logarithmic, and Exponential Functions

Conic Sections, Sequences, and Series

Systems of Equations

Trigonometric Functions and Identities

Trigonometric Equations, Law of Sines, Law of Cosines, and Polar Coordinates

Precalculus Content Review

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