College Algebra – mth220 (3 credits)
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.
Systems of Equations and Matrices
- Use matrices and Gaussian elimination to solve systems.
- 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.
Sequences and Series
- Solve application problems involving a series.
- Find a general term given the terms of a sequence.
- Find the sum of the first n terms of a sequence.
- Find terms of a sequence from the general term.
- Solve factorial notation problems.
- Solve recursion formula problems.
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
- Graph rational functions.
- Identify functions behavior as increasing, decreasing, or constant.
- Solve problems involving a function’s zeros, maximum, or minimum values.
- Graph polynomial 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.
Exponential and Logarithmic Functions
- Apply properties of logarithms.
- 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.
- Solve real-world applications using exponential and logarithmic functions.
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