This fast-paced course completes all topics necessary for success in Calculus: elementary functions including inverses and transformation theory; polynomial and rational functions and their graphs; exponential and logarithmic functions; trigonometric functions of real numbers, graphs of the trigonometric functions and their inverses; trigonometric functions of angles; analytic trigonometry, identities; polar coordinates and vectors including polar graphing, polar form of complex numbers, DeMoivre’s Theorem, roots of unity; analytic geometry, conic sections including rotation of axes, polar equations of conics, parametric equations; sequences, series, sigma notation; proof by mathematical induction; introduction to limits; introduction to differentiation. The course emphasizes conceptual understanding, technical skills, and the use of technology to use mathematics to model the real world.

**Prerequisite:** Completion of *Algebra II* or *Integrated Math III*, grade of A in current math class, Teacher Recommendation Form completed by current math instructor, and passing score on placement test.

**Grade requirement:** Open to all qualified students.

**Self-study and homework required:**
6-10 hours per class meeting