February 03, 2012
College Algebra for STEM
College level course in algebra for majors in science, technology, engineering, and mathematics: polynomial, rational, radical, exponential, absolute value, and logarithmic functions; systems of equations; theory of polynomial equations; analytic geometry
- Functions including linear, polynomial, rational, radical, exponential, absolute value, logarithmic: definitions, evaluation, domain and range;
- Inverses of functions;
- Algebra of functions;
- Graphs of functions including asymptotic behavior, intercepts, vertices;
- Transformations of quadratic, absolute value, radical, rational, logarithmic, exponential functions;
- Equations including rational, linear, polynomial, radical, exponential, absolute value, logarithmic;
- Linear, nonlinear, and absolute value inequalities;
- Systems of equations and inequalities;
- Characterization of the zeros of polynomials;
- Properties and applications of Complex numbers;
- Properties of conic sections; and
- 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;
- Apply transformations to the graphs of functions;
- Recognize the relationship between functions and their inverses graphically and algebraically;
- Solve and apply rational, linear, polynomial, radical, absolute value, exponential, and logarithmic equations and solve linear, nonlinear, and absolute value inequalities;
- Solve systems of equations and inequalities;
- Apply techniques for finding zeros of polynomials and roots of equations;
- Apply functions and other algebraic techniques to model real world STEM applications;
- Analyze conics algebraically and graphically; and
- Use formulas to find sums of finite and infinite series.
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 designed for science, technology, engineering and math majors, and supporting the learning objectives of this course.