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College Algebra for Liberal Arts

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Uploaded: 10/12/2017 04:44:05 PM PDT
College level course in algebra for majors in the Liberal Arts: polynomial, rational, radical, exponential, absolute value, and logarithmic functions; systems of equations; theory of polynomial equations; analytic geometry
Intermediate Algebra
 Functions including linear, polynomial, absolute value, rational, radical, exponential, logarithmic: definitions, evaluation, domain and range;
 Algebra of functions;
 Graphs of functions including asymptotic behavior, intercepts, vertices;
 Equations including rational, linear, absolute value, polynomial, radical, exponential, logarithmic;
 Linear and nonlinear inequalities;
 Systems of equations;
 Complex numbers; and
 Substantial introduction to at least two of the following:
 Inverses of functions
 Transformations of quadratic, absolute value, radical, rational, logarithmic, exponential functions
 Linear programming
 Characterization of the zeros of polynomials
 Matrices and determinants.
 Properties of conic sections
 Combinatorics and probability theory
 Sequences and series
Upon successful completion of the course, students will be able to:
 Analyze and investigate properties of functions;
 Synthesize results from the graphs and/or equations of functions;
 Solve and apply equations including rational, linear, absolute value, polynomial, exponential, and logarithmic equations;
 Solve linear and nonlinear systems of equations and inequalities;
 Apply functions and other algebraic techniques to model real world applications; and
 For additional topics:
 Recognize the relationship between functions and their inverses graphically and algebraically
 Apply transformations to the graphs of functions
 Use linear programming to solve problems.
 Apply techniques for finding zeros of polynomials and roots of equations
 Solve and apply linear systems using matrices and determinants
 Analyze conics algebraically and graphically
 Use combinatorial rules to calculate probabilities.
 Use sequences and series to solve application problems.
Tests, examinations, homework or projects where students demonstrate their mastery of the learning objectives and their ability to devise, organize and present complete solutions to problems.
A college level text supporting the learning objectives of this course.

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