AP Calculus BC
The Fine Print
Course Goals

To offer a multifaceted approach to calculus: students will learn to express concepts, results and problems graphically, numerically, analytically and verbally.

Students will learn to use technology to help experiment, solve problems, interpret results and support conclusions. We will use graphing calculators and Desmos (an online graphing program) towards this end.

Students will learn problemsolving techniques that will maximize computational efficiency while minimizing computational errors.
The course is organized around the following foundational concepts of calculus:

Limits: Students will gain a solid, intuitive understanding of limits and be able to compute onesided limits, limits at infinity, infinity limits and the limit of a sequence.

Derivatives: Students will learn to use different definitions of the derivative and be able to apply derivative rules and properties. Students will also become familiar with a variety of realworld applications of the derivative, including related rates, optimization, and growth and decay models.

Integrals and the Fundamental Theorem of Calculus: Students will gain a firm understanding of area, volume and motion applications of integrals as well as the use of the definite integral as an accumulation function. The relationship between integration and differentiation as expressed in the Fundamental Theorem of Calculus will also be emphasized.

Series: Students will become familiar with various methods for determining convergence and divergence of a series. Subsequently, students will learn to use power series to approximate an arbitrary function near a specific value. The generalization to Taylor and Maclaurin series for approximating common functions will also be studied.

The main components of Calculus BC are advanced integration techniques, sequences and series, and polynomial approximations. Calculus BC also extends all the content learned in Calculus AB to different types of equations (polar, parametric and vectorvalued).
Prerequisites

Students must have completed the equivalent of the high school math sequence: Algebra 1, Geometry, Algebra 2/Trigonometry, Precalculus, or Integrated Math 1,2,3 Honors.

If you did not take Trigonometry/Precalculus, or have only taken Integrated Math 1,2,3, a Precalculus class is strongly recommended before you take AP Calculus BC.

Students must be familiar with all advanced topics in algebra, trigonometry, analytic geometry, elementary functions: linear, polynomial, rational, transcendental (trigonometric, exponential and logarithmic), inverse functions, and piecewise defined functions.

Are you ready? Take a Diagnostic Test.
Course Details

Please see the FAQ for class days/times/breaks.

All classes will be recorded, so students have the option to participate live or watch the recorded videos after the classes have been completed.
Instructor Demo

See a Zoom Demo: Shin Yen demonstrates her instructional approach and previews some of the technology resources that she and students will be using in the class.
Course Resources
Textbook and Homework:

Calculus for AP Enhanced WebAssign, 1st edition eBook by Ron Larson and Paul Battaglia (through WebAssign: $35.00)

Hardback copy textbook loaned free through Blue Tent OnLoan

ISBN 9781305674912


Dr. Chung’s AP Calculus BC, 4th edition. ISBN 9781542717458
Calculator:

TI84 series, or

TINspire series

Whatever you have used for high school math is fine.

If you are looking to purchase your first collegelevel graphing calculator, the instructor strongly encourages the TINspire CAS for its ease of use and capabilities.
Web Resources:

GeoGebra – a free application for students to visualize 2D and 3D geometric shapes and their properties

College Board Website: comprehensive databank of past exam questions

LarsonCalculusforAP.com: This companion website to the text offers multiple tools and resources to supplement learning.

CalcView: The website contains video solutions of selected exercises in the text. Students can use smartphone QR code readers to scan codes next to the problems and go directly to video solutions.

CalcChat: The website contains stepbystep solutions to all oddnumbered exercises in the text. Students can also chat with a tutor during the hours posted at the site.

Khan Academy and Coursera video resources
Technical resources:
We use ZOOM for live meetings. U.S. and international students need:

An internet connection

A computer with a webcam

Recommended: a headset with a microphone (but your builtin computer audio and microphone will work if necessary)

Requested: students who attend classes live are asked to keep their webcams on during class