Mathematical Connections: Advanced Algebra and Trigonometry
- Advanced
Algebra is often considered the language of mathematics, for good reason. In this advanced algebra course we conduct a series of in-depth explorations of this rich, fascinating subject, taking on topics involving the form and function of polynomials, such as analyzing polynomials using difference tables (connecting with ideas leading to calculus), and touching on the concept of infinite polynomials. We also investigate sequences and series — arithmetic, geometric, as well as other types; explore complex numbers and their geometry; and thoroughly develop trigonometric functions and identities. The course is designed for teachers who are teaching Algebra 2 classes, or for anyone who has taken MATH E-303 and who wants to learn more about this interesting subject.