AP Calculus AB

Explore the concepts, methods, and applications of differential and integral calculus. You’ll work to understand the theoretical basis and solve problems by applying your knowledge and skills. This is generally considered a one-semester college course in single-variable calculus (Calculus 1).

Course Content

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

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

Molly Nay

mnay@hoover.k12.al.us

Meet your instructor

Mrs. Nay graduated from Hoover High School in 2010, then earned her degree in Secondary Mathematics Education at Auburn University in 2014. She then earned her Master’s at the University of West Alabama in 2020.

This is Mrs. Nay’s 12th year teaching, but first year at Hoover. She previously taught at Hewitt Trussville High School and Vestavia Hills High School. She has experience teaching Geometry, AP Calculus AB, AP Calculus BC, Algebra 2, and an Engineering course. This is her 8th year teaching AP Calculus AB.

"AP Calculus AB is an introductory college-level course in calculus. You will explore the concepts and applications of differential and integral calculus that are fundamental to STEM careers. At HHS, the successful AP Calculus AB student has usually completed AP Precalculus with a B or better, or Precalculus with a high A. "

Mrs. Nay lives in Hoover with her husband, Tyler, and their two boys, Jacob and William.

"AP Calculus AB is an introductory college-level course in calculus. You will explore the concepts and applications of differential and integral calculus that are fundamental to STEM careers. At HHS, the successful AP Calculus AB student has usually completed AP Precalculus with a B or better. "