AP® Calculus BC (MATH520)
1.0 (yearlong course)
MATH500 AP® Calculus AB or equivalent
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 the following: functions; limits; derivatives; applications of derivatives; definite integrals; differential equations;vmathematical modeling; applications of definite integrals; parametric, vector, and polar functions; sequences; and series (including the Taylor and Maclaurin series).
This course is 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.
Students need access to a scanner or digital camera (phone is fine) in order to submit work for the teacher to review. Students will also need a TI-84 graphing calculator for this course. 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.
The recommended sequence for students wishing to pursue advanced math classes: MATH150, MATH250, MATH350, MATH400, followed by their choice of MATH500, MATH510, or MATH520.
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. Choosing an AP® course start date in July will make the student ineligible for CCU dual credit.
Are you hoping to enter a mathematical, scientific, or engineering program? This class will help prepare you for higher-level math courses in college and there is an opportunity for dual enrollment to earn some college credit at the same time. Expect to be challenged, encouraged and grow in your mathematical skill and knowledge. We are learning together in this course to recognize the beauty in math and how it demonstrates order, detail and care in creation! This course follows the curriculum set forth by the AP® College Board for AP® Calculus BC.
If there are books and materials for this course, they can be purchased from our Online Bookstore.
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.