Explore the concepts, methods, and applications of differential and integral calculus, including topics such as parametric, polar, and vector functions, and series. You’ll perform experiments and investigations and solve problems by applying your knowledge and skills. This is comparable to a two-semester college course in calculus (Calculus 1 & 2). Calculus BC adds an exploration into Parametric Equations, Polar Coordinates, Vector-Valued Functions, and Sequences and Series on top of all the content covered in Calculus AB.
Unit 1: Limits and Continuity
Unit 2: Differentiation: Definition and Fundamental Properties
Unit 3: Differentiation: Composite, Implicit, and Inverse Functions
Unit 4: Contextual Applications of Differentiation
Unit 5: Analytical Applications of Differentiation
Unit 6: Integration and Accumulation of Change
Unit 7: Differential Equations
Unit 8: Applications of Integration
Unit 9: Parametric Equations, Polar Coordinates, and Vector-Valued Functions
Unit 10: Infinite Sequences and Series
Exam Structure
Section I: 45 Multiple-Choice Questions
105 Minutes
50% of Exam Score
Section II: 6 Free Response Questions
90 Minutes
50% of Exam Score
Mr. Coger obtained a B.S. in mathematics from Auburn University. He has been teaching for the last thirteen years with the last three being at Hoover High School. He has taught courses ranging from Algebra 1 to Calculus BC. “In AP Calculus BC, you’ll cover topics in AP Calculus AB and build upon them. It is a great course for people interested in STEM fields, such as engineering and computer science. A successful student in AP Calculus BC will have made an A in AP Precalculus.”