Link to Google Classroom for class announcements and assignments.
Link to AP Calculus BC Syllabus.
Goals of the Course
AP Calculus BC is a continuation of the topics covered in AP Calculus AB. Taking these 2 AP Calculus courses is the equivalent of completing a two-semester sequence of Calculus I and II at the university level. New topics for this year include Parametric and Polar Equations, Methods of Integration, Differential Equations, Taylor Polynomials, and Infinite Series.
At the end of 3 trimesters of AP Calculus BC:
- Students will be able to solve problems that are similar to types of questions that are asked on the AP test.
- Students will be able to apply Calculus skills to solve a variety of theoretical and applied problems.
- Students will be able to recognize the skills that are necessary to solve a given problem and interpret the results of the calculations they do.
- Students will be able to effectively communicate their understanding of concepts verbally to describe problem scenarios and chosen problem-solving methods as well as justify solutions. Students will demonstrate correct mathematical notation and terminology when writing.
- Students will be able to use critical thinking and prior mathematical concepts to gain insight into Calculus concepts.
- Students will be able to use collaboration to solve problems, discuss ideas, and answer questions from their peers.
- Individually and in groups, students will be able to write mathematical functions and differential equations to model situations described verbally and/or graphically.
- Students will be able to assess the reasonableness of models and solutions. Students will be able to improve solution processes through reflection and successive refinement.
- Students will be able to use technology, when appropriate, to solve problems. Techniques to be implemented using technology include Euler’s method, creating slope fields, and numerical integration.