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Precalculus 1 credit
Prerequisite: Algebra II
This is a course that develops understanding of several topics in Precalculus including the analysis of linear, power, reciprocal, polynomial, rational, exponential, logarithmic, trigonometric, and logistics functions. In addition, solving higher-level equations, inequalities, and systems is incorporated. Students will investigate ideas in limits, linear algebra, sequences, and series, and trigonometry. This includes the study of the Unit Circle, trigonometric identities, analysis of the trigonometric functions and their inverses, and solving trigonometric equations. Applications of trigonometry include the Law of Sines, Law of Cosines, Harmonic Motion, Polar Coordinates, and Vectors. (GC)
Honors Precalculus 1 credit
Prerequisite: Honors Algebra II/Trig
This course is designed for the highly motivated student with exceptional interest and ability in mathematics, welldeveloped study skills, and with a willingness to accept a large share of responsibility in the academic process. Graphing calculator usage and computer-based graphing technology are incorporated in this course to enhance teaching and learning of precalculus. Topics covered include a review and extensions of Algebra 2, parametrics, polar equations, partial fraction decomposition, and an introduction to calculus. Considerable out-of-class preparation is required on the part of the student. (GC)
Honors Calculus 1 credit
Prerequisite: Precalculus
This course is a review of polynomial, trigonometric, exponential and logarithmic functions followed by discussion of limits, derivatives, and applications of differential calculus to real-world problems. An introduction to integration concludes the course. Students will have the opportunity to explore these topics without the Advanced Placement focus.
AP Calculus AB 1 credit
Prerequisite: Honors Precalculus or Honors Calculus
Topics in this course include functions, graphs, limits, derivatives and integrals of algebraic and transcendental functions. Students will also study applications of derivatives and integrals in a variety of ways to model physical, social, or economic situations. This course is equivalent to one semester of college calculus (Calculus I). Students will be expected to purchase supplemental materials.
AP Calculus BC 1 credit
Prerequisite: Honors Precalculus
This course covers all of the material in the Calculus AB course along with additional topics that would be covered in a second semester college calculus course (Calculus II). Those additional topics include the study of infinite series, the calculus of Parametric Equations, the calculus of Polar Equations and more differential equations than are covered in the AB class.
Multivariable Calculus 1 credit
Prerequisite: Student must exhaust entire mathematics curriculum
Students who successfully complete this course will receive credit equivalent to an AP course. This is a course in third semester college Calculus. Topics covered include vectors, cylindrical and quadric surfaces, vector functions and space curves, arc length, curvature, functions of several variables, partial derivatives, double and triple integrals, cylindrical and spherical coordinates, change of variables in multiple integrals, vector fields, line integrals, Green’s Theorem, curl and divergence, parametric surfaces, surface integrals, Stokes’ Theorem and the Divergence Theorem. (GC)
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