This course is taught so that students will acquire a solid foundation
in algebra. Emphasis is placed on understanding
the properties of linear, polynomial rational and radical functions, including
inequalities and complex numbers. Students will learn to work with
various types of functions in symbolic, graphical, numerical and verbal
The course videos are licensed Creative Commons Attribution-Sharealike-NonCommercial 3.0. The course videos can be found at UC Irvine's OpenCourseWare site.
This course will be taught over ten weeks, with materials released on a weekly basis. Below you will find the weekly topic schedule.
Week One. Introduction, Algebra and Real Numbers. Exponents and Radicals. Week Two. Polynomials: Basic Operations and Factoring. Rational Expressions: Basic Operations. Week Three. Linear Equations. Linear Inequalities. Week Four. Absolute Value in Equations and Inequalities. Complex Numbers. Quadratic Equations. Additional Equation Solving Techniques. Week Five. Cartesian Coordinate System. Distance in the Plane. Week Six. Equations of a Line. Linear Equations and Models. Functions. Week Seven. Graphing Functions. Transforming Functions. Week Eight. Quadratic Functions. Operations on Functions, Composition. Inverse Functions. Polynomial Functions and Models Week Nine. Real Zeros and Polynomial Inequalities. Complex Zeros and Rational Zeros of Polynomials. Rational Functions and Inequalities. Week Ten. Review and Final.
Sarah Eichhorn, Ph.D. and Rachel Cohen Lehman, Ph.D.