Students in this course develop their ability to investigate a problem mathematically and hone their proof-writing skills by exploring such topics as trigonometric functions, theories of polynomial equations, logarithmic and exponential functions, inverse functions, complex numbers, DeMoivre’s theorem, polar coordinates, vectors in three dimensions, probability, combinatorics, linear algebra, and mathematical induction. The pace is very fast. Because the class frequently takes the form of a Socratic dialogue with questions asked and solutions offered by both teacher and students, it is imperative that students have or develop the courage to write down and share their ideas. Students who take this course in their sophomore year may plan on taking Advanced Placement (AP) Calculus as juniors and a higher level International Baccalaureate (IB) mathematics course as seniors. Students who take the course in their junior year may plan on taking AP Calculus or a standard level IB mathematics course as seniors.
Open to: Sophomores, juniors, and seniors