Polynomials and Geometry (MAT2117.01)

Andrew McIntyre

This course builds on and extends high school algebra, trigonometry, and geometry. It develops these topics from a classical and historical perspective. It is one good entry point for students who are confident with high school algebra and precalculus, and it may be used as a prerequisite for Calculus A, Linear Algebra, and some other more advanced mathematics classes. Topics include complex numbers and rotations; roots of unity; polynomial algebra; solutions of quadratic, cubic, and quartic equations; cyclotomic equations; constructibility of regular polygons in Euclidean geometry; conic sections in rectangular, polar, and projective coordinates; diagonalization of quadratic forms; special curves such as the catenary; quadric surfaces; parametric curves and surfaces; trigonometric identities; hyperbolic trigonometry; quaternions and rotations; and other classical topics as time permits.

Prerequisites: Confidence with high school algebra and precalculus.
Credits: 4
M 4:10pm - 6:00pm; Th 4:10pm - 6:00pm
Maximum Enrollment: 20
This course is categorized as All courses, Four Credit, 2000, Mathematics, Andrew McIntyre, Monday and/or Thursday Afternoons.