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.
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.
Use matrices and Gaussian elimination to solve systems.
Perform operations on matrices.
Solve systems of linear inequalities with graphing.
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.
Sequences and Series
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.
Solve application problems involving a series.
Find a general term given the 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.
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