Learning Recommendations: This course is designed for students that successfully completed Pre-Calculus and have a strong academic record in math. This course is recommended for students who are interested in a math-based career path and want to show math-based rigor on the high school transcript (AP/IB).
STUDENTS WHO SELECT THIS COURSE ARE COMMITTING TO TAKING THE AP EXAM IN THE SPRING.
General Description: This one-year course develops the topics of limits, derivatives, and integration and their formulas for algebraic and transcendental functions. This class follows the College Board AP Calculus AB course guidelines for preparation of the AP Calculus AB exam.
Topics that students will explore and understand in the course include:
I. Functions, Graphs, and Limits
- Analysis of graphs
- Limits of functions (including one-sided limits)
- Asymptotic and unbounded behavior
- Continuity as a property of functions
- Concept of the derivative
- Derivative at a point
- Derivative as a function
- Second derivatives
- Applications of derivatives
- Computation of derivatives
- Interpretations and properties of definite integrals
- Applications of integrals
- Fundamental Theorem of Calculus
- Techniques of antidifferentiation
- Applications of antidifferentiation
- Numerical approximations to definite integrals
Students will learn through a combination of :
- Direct instruction
- Small group investigations
- Teacher-led investigations
Equipment to be provided by student: Graphing Calculator, Fee for AP Exam.