Courses of Study
Pre-Calculus Honors
AP Calculus
Pre-Calculus is a discipline that combines many of the trigonometric, geometric, and algebraic techniques needed for the preparation of the study of Calculus, and strengthens conceptual understanding and mathematical reasoning when solving problems. This course takes a functional point of view to these topics. First semester concentrates on algebraic and transcendental functions and probability, and second semester is trigonometry, linear algebra, and sequences and series. Trigonometry is a discipline that utilizes the techniques of both the algebra and geometry that students have previously learned. The trigonometric functions studied are defined geometrically, rather than in terms of algebraic equations. Students will also use trigonometry in polar and parametric equations and conics. Facility with these functions as well as being able to prove basic identities regarding them is especially important for students intending to study Calculus, more advanced mathematics, Physics and other sciences, and engineering in college. Linear algebra includes matrix manipulation, and vectors. Sequences and series involves proof by mathematical induction as well as finding the terms in geometric and arithmetic sequences.
This course is taught with the same level of depth and rigor as entry level college and university calculus courses. These standards outline a complete college curriculum in one variable calculus. Calculus is a widely applied area of mathematics, and also involves a beautiful intrinsic theory. Students mastering this content will be exposed to both of these important aspects of the subject. The focus of this course is to prepare the students to pass the A.B. A.P. Calculus exam in the spring as well as be prepared for calculus in college.
|