Geometry, Honors (5 periods, 5 credits)
Prerequisite: Algebra I
Honors Geometry is an accelerated course that covers more topics in depth than a typical geometry course. This course requires excellent algebra skills and develops an understanding of the meaning and nature of mathematical proof. Other topics include similarity, circles, area, volume, coordinate geometry and an introduction to trigonometric functions and their applications to right triangles.
Algebra II, Honors (5 periods, 5 credits)
Prerequisite: Geometry, Honors
This course will teach algebraic methods and graphing techniques with a special emphasis on problem solving. It is a course for students with superior mathematical skills.
Precalculus, Honors, (5 periods, 5 credits)Prerequisite: Algebra II, Honors
This course covers a wide array of topics used in calculus, including exponential and logarithmic functions, trigonometry, polar, and parametric equations. Students will be prepared to take the Math Level 2 SAT subject test in June.
AP Calculus AB (5 periods, 5 credits)
Prerequisite: Precalculus, Honors
This course covers functions, limits, continuity, the differential and integral calculus of algebraic, trigonometric, and other transcendental functions. Topics will include some applications such as related rates, maximum-minimum problems, areas, and volumes. Students will use graphing calculators as an integral part of the instruction. Students will be prepared to take the AP Calculus AB exam in May.
AP Calculus BC (5 periods, 5 credits)*Prerequisite: Precalculus, HonorsThis course offers a comprehensive study of all of the objectives outlined in the AP Calculus AB/BC Course Description. Topics will include functions and limits, derivatives and their applications, integrals and their applications, differential equations and slope fields, sequences, series, polynomial approximation, and analysis of curves given in polar, parametric and vector form. Students will use graphing calculators as an integral part of the instruction. Students will be prepared to take the AP Calculus BC exam in May.* Students who earn a 5 on the AP Calculus BC Exam prior to senior year are encouraged to continue challenging themselves with higher level math courses. They are required to complete at least two of the following courses.
The following is the recommended sequence of courses to follow:
- MAT-233 (Multivariable Calculus) at Middlesex County College
- MAT-234 (Differential Equations) at Middlesex County College
- XM-609 (Modern Algebra) through Stanford Online
- XM-615 (Real Analysis) through Stanford Online
- XM-606 (Complex Analysis) through Stanford Online
- XM-631 (Partial Differential Equations) through Stanford Online
Note: Linear Algebra is a prerequisite for the Stanford courses. It can be taken here as an elective junior year.