AP® Calculus BC

  • Name:

    AP® Calculus BC (MATH520)

  • Department:


  • Credits:

    1.0 (yearlong course)

  • Suggested Prerequisites:

    MATH500 AP® Calculus AB or equivalent

AP® Calculus BC


This course covers all topics of Calculus of functions of a single variable as described in the AP® Calculus BC topic outline in the AP® Calculus Course Description. Major topics covered include functions; limits; derivative; applications of derivatives; definite integrals; differential equations; mathematical modeling; applications of definite integrals; parametric, vector, and polar functions; sequences; and series (including the Taylor and Maclaurin series). Designed to develop the student's understanding of the concepts covered in the first two semesters of college level Calculus and to provide the student with multiple experiences in the methods and applications of those concepts, the Rule of Four is stressed throughout the course. Students are trained to express all solutions geometrically, numerically, analytically, and to interpret these findings verbally. 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

The strengths of this course was that it helped the student to increase their ability as an independent learner in a learning environment. There were very helpful videos and weekly discussion posts that helped the students enhance further knowledge while they are studying alone.

I really loved how students were able to actively help each other and communicate knowledge through weekly discussion posts. In my opinion, one finally understands a topic when one has the ability to explain the concept to another person. This was exactly the case for the weekly posts between students and the teacher.

I enjoy the Math Matters discussions specifically the math relay and fool a friend.

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