This course presents traditional concepts in college algebra. Topics include linear, polynomial, rational, radical, exponential and logarithmic functions, systems of equations, sequences, series, and probability.
Find a general term given the terms of a sequence.
Find terms of a sequence from the general term.
Solve factorial notation problems.
Solve recursion formula problems.
Find the sum of the first n terms of a sequence.
Counting Methods and Probability
Use the multiplication principle to solve counting problems.
Solve permutation problems.
Solve combination problems.
Solve probability problems.
Graphing, the Distance Formula, and Circles
Identify functions behavior as increasing, decreasing, or constant.
Solve problems involving a function’s zeros, maximum, or minimum values.
Graph polynomial functions.
Graph rational functions.
Perform transformations on a given graph.
Find the distance between two points.
Find the midpoint of a segment.
Write the standard form of a circle’s equation.
Perform operations on functions.
Systems of Equations and Matrices
Solve systems of linear equations.
Distinguish between linear and nonlinear systems of equations.
Solve systems of nonlinear equations.
Perform operations on matrices.
Solve systems of linear inequalities with graphing.
Use matrices and Gaussian elimination to solve systems.
Exponential and Logarithmic Functions
Identify types of symmetry and asymptotes, given a function and a graphing calculator.
Solve exponential functions.
Solve logarithmic functions.
Identify graphs of exponential and logarithmic functions.
Convert between exponential and logarithmic forms.
Apply properties of logarithms.
Solve real-world applications using exponential and logarithmic functions.
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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.