Fostering academic excellence and biblical virtue to equip students for lives as local and global Christian servants.

AP Calculus AB

Course Catalog ID:
Subject Categories:
AP Course, College Dual Credit, Math

This course covers all of the requirements of AB Calculus, plus specific preparation for the AP AB Calculus exam. The Calculus is explored using multiple representations including analytic, algebraic, numerical, graphical, and technological techniques. Students will examine the limit and continuity of functions along with the two main functions of calculus: the derivative and the integral. Derivatives will be explored as a point and as functions, along with second derivatives and applications in optimization, linearization, and related rates. Interpretations and properties of integration will be presented, including Riemann’s Sums and applications of motion, area under curves, and volumes of unusual shapes. The Fundamental Theorem of Calculus will be used for analytical and graphical analysis of functions. Students will also practice AP-style questions to familiarize themselves with the format and grading techniques. The teacher will reinforce commonly difficult concepts, address general concept questions, strengthen weak areas, host collaborative problem-solving among the students, and provide additional AP prep problems.

Grade Levels*:
11, 12
* Enrollment restricted based on Date of Birth and Grad Year (whichever is more limiting). Enrollment outside these levels requires written concurrence from TPS Support.
• Successful completion (80% or higher) of TPS Precalculus
━ OR ━
• Successful completion of Readiness Test
Notes and Conditions

College Credit: This course is pre-approved for college credit (Belhaven MAT 207, 3 credits). Upon successful completion of this course, the student may apply for a college transcript from Belhaven University for this course. These transcripted credits may be transferred to other colleges. More information is here.

Flexible Scheduling: This course may be taken with live class attendance reduced or waived if the student has a schedule or time zone conflict. Please review the Flexible Scheduling information for details.

AP® Certified: Learn more about TPS AP courses and exam results. (AP® is a trademark owned by the College Board, which is not affiliated with, and does not endorse, this course.)

California A-G: This course has CA A-G approval.

“I enjoyed taking this class because the teacher is very devoted to providing quality learning experiences for all students. This course provided me with extended knowledge about calculus as well as test-taking strategies for the AP exam. I enjoyed the various methods used in class — whether that be practice problems or using the breakout rooms — this class was interesting and useful. I would recommend this class to students who are willing to devote time and effort into carefully paying attention to and learning about the topics, as well as those who want an excellent source for preparation for the AP exam.”

Ellis G

“The structured curriculum really prepares students for the AP exam. There are formulas that must be memorized, but the teacher tries to make the students understand the formulas, which really helps! There are also tons of practice exams provided as assignments, whereas in other AP courses, you might need to do these on your own time. If taking AP Calc AB, this course is most definitely the best choice!”

Hyeyoung J

“I loved this course! I didn’t have a strong Pre-Calc foundation when I started, but the review at the beginning really helped to solidify my knowledge. I love how the teacher makes the work seem fun (even for people like me who don’t like math). Everything was easy to understand, and the teacher was always available for help. I would absolutely recommend this course to anyone preparing to take the AP Calculus AB exam!”

Sasha K

“This course has been my favorite, most challenging course all year. It was far from easy, but I would recommend it to anyone looking at Calculus.”

Josh W

“I’ve never come out of an AP course feeling more prepared for the AP exam. Although AP Calculus AB required a lot of time and effort, none of it was wasted. The teacher is thorough and engaging, and the classes are interactive. All in all, I wouldn’t change a thing about this course!”

Micah H
Reviews from Students and Parents