AP® Calculus AB

  • Name:

    AP® Calculus AB (MATH500)

  • Department:


  • Credits:

    1.0 (yearlong course)

  • Suggested Prerequisites:

    MATH450 Precalculus Honors (or equivalent)

AP® Calculus AB


This course covers all topics of the calculus of functions of a single variable as described in the AP Calculus AB topic outline in the AP Calculus Course Description. Major topics covered include Functions, Graphs, Limits, Derivatives, Integrals, and Applications of Integrals. This course is designed to develop the student's understanding of the concepts covered in the first semester of university calculus and half of the second semester of university calculus. Multiple experiences in the methods and applications of those concepts and the Rule of Four are also stressed throughout the course. Students are trained to express all solutions geometrically, numerically, analytically, and to interpret these findings verbally. Students hoping to major in the math, science, or engineering fields should apply. Students who complete the course will be well prepared for the AB AP exam. Technology and graphing calculators are used extensively in this course to reinforce the concepts covered. All students must possess a TI-84 graphing calculator.

Special Notes:

Access to a scanner or digital camera is necessary for this course as students will be required to submit work on assignments frequently throughout the semester/year. Usage of a graphing calculator is also a requirement in this course. Only the TI-84 family is supported by our instructors. Each student must also have the computer connectivity cable for their calculator as they will be provided with several calculus programs to download for their TI-84 calculator that can also be used on the AP exam.

If you are planning to take the AP exam associated with this course, then be aware that beginning in Fall 2019 the College Board requires that all students register in October of each school year to take the exam which is held in early May. You must make your decision early. There are penalties associated with late registration and with registering and then deciding not to take the exam at a later date. Please plan accordingly. For more information or if you have more questions, please visit https://apcentral.collegeboard.org. Once on the site search Home-Schooled Students to find information on locating testing locations near you.

Recommended sequence for students wishing to pursue advanced math classes: MATH150, MATH250, MATH350, MATH400, followed by their choice of MATH500, MATH510, or MATH520.


Are you planning on pursuing a STEM based degree at University? Are you interested in getting ahead of the game in your mathematical studies? Then AP Calculus AB or AP Calculus BC are the classes for you.

These courses are created to not only prepare you for the AP Exam in May, but also to give you an idea of the level of intensity that you might see in college math classes. The curriculum for AP Calculus AB is equivalent to university Calculus 1 and other single-variable calculus courses. AP Calculus BC is equivalent to university Calculus 1 & 2 and is an extension of AP Calculus AB. Both courses are challenging but rewarding, given that the student works hard throughout the entire time they are in the course.

If there are books and materials for this course, they can be purchased from our Online Bookstore.

Student Feedback

I feel the course is well organized and well presented.

I enjoyed taking this course. If this was not my last year with NorthStar, it would have certainly encouraged me to take more courses like it.

I loved the organization and clearness of the materials and teachings. I loved how we referred to many items and could get help from other students and grow together as a class.

This course was very helpful that increased my knowledge in calculus and I would like to recommend it to another people.

NorthStar Academy (NSA) is a fully accredited online, private, college preparatory Christian school offering students in 4th-12th grades a rigorous and high quality academic program taught by highly qualified, mission-minded, Christian educators in a supportive and encouraging environment.

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