mat220 | undergraduate

College Algebra

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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.



This undergraduate-level course is 9 weeks This course is available to take individually or To enroll, speak with an Enrollment Representative.

Course details:

Credits: 3
Duration: 9 weeks

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    Polynomial and Rational Functions, Part 1

    • Solve polynomial and rational inequalities.
    • Solve problems involving combined variation.
    • Solve problems involving rational functions.
    • Solve polynomial equations.
    • Solve problems involving a quadratic function’s maximum or minimum value.
    • Graph polynomial and rational functions.

    Polynomial and Rational Functions, Part 2

    • Solve problems involving a quadratic function’s maximum or minimum value.
    • Graph polynomial and rational functions.
    • Solve polynomial and rational inequalities.
    • Solve polynomial equations.
    • Solve problems involving combined variation.
    • Solve problems involving rational functions.

    Exponential and Logarithmic Functions, Part 1

    • Solve real-world applications using exponential and logarithmic functions.
    • Solve exponential and logarithmic functions.
    • Identify graphs of exponential and logarithmic functions.
    • Convert between exponential and logarithmic forms.
    • Apply properties of logarithms.

    The Distance Formula, Circles, and Conic Sections, Part 1

    • Find the midpoint of a line segment.
    • Write equations of conic sections in standard form.
    • Solve applied conic section problems.
    • Write the standard form of a circle’s equation.
    • Convert the general form of a circle’s equation to the standard form.
    • Identify graphs of conic sections.
    • Find the distance between two points.

    The Distance Formula, Circles, and Conic Sections, Part 2

    • Solve applied conic section problems.
    • Find the distance between two points.
    • Find the midpoint of a line segment.
    • Write the standard form of a circle’s equation.
    • Convert the general form of a circle’s equation to the standard form.
    • Identify graphs of conic sections.
    • Write equations of conic sections in standard form.

    Systems of Nonlinear Equations and Matrices, Part 1

    • Perform operations on matrices.
    • Distinguish between linear and nonlinear systems of equations.
    • Solve systems of nonlinear equations.
    • Use matrices and Gaussian elimination to solve systems.
    • Solve rational equations and application problems.

    Sequences and Probability

    • Find terms of a sequence from the general term.
    • Solve factorial notation problems.
    • Find the sum of the first n terms of a sequence.
    • Solve application problems involving a series.
    • Solve fundamental principle of counting problems.
    • Solve combination and permutation problems.
    • Solve probability problems.
    • Solve recursion formula problems.

    Systems of Nonlinear Equations and Matrices, Part 2

    • Solve systems of nonlinear equations.
    • Distinguish between linear and nonlinear systems of equations.
    • Use matrices and Gaussian elimination to solve systems.
    • Solve rational equations and application problems.
    • Perform operations on matrices.

    Exponential and Logarithmic Functions, Part 2

    • Solve exponential and 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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