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AP Calculus BC

This comprehensive course is designed to cover only AP Calculus BC topics. We will provide guidance on approaching multiple-choice and free-response questions, helping you develop the skills needed for success. By participating in this course, you'll gain the knowledge and strategies necessary to excel in the AP Calculus BC exam.
Designed for

Students who are preparing for AP Calculus BC exam

Level

All levels

Class format

One-on-one and small group (Max. 7 students/class)

Class Introduction

This course is tailored for students who are preparing to take the AP Calculus BC exam. It covers AP Calculus BC-specific topics such as Parametric Equations, Polar Coordinates, Vector-Valued Functions, and Infinite Sequences and Series.

If you’re interested in AB-specific topics, please check out our AP Calculus AB Preparation class.

Outcome

After completing the class, students can expect the following outcomes:

  • Students will acquire a thorough understanding of AP Calculus BC-specific topics.
  • Through practice and guidance, students will develop strong problem-solving abilities.
  • The course will prepare students for the rigor and format of the AP Calculus BC exam. They will become familiar with the types of questions asked, time management strategies, and techniques for maximizing their performance on the exam.
Course Content
LessonTopicsHomework
1

Week 1:

  • Euler’s method
  • Integration by parts
  • The method of partial fractions
45 Multiple Choice Questions
2

Week 2:

  • Improper integrals
  • Logistic growth model
  • Length of a curve
6 Practice Free Response
3

Week 3:

  • Displacement, distance, and position of a particle moving according to a vector-valued or parametric function
  • Derivatives of vector-valued functions, parametric functions, and functions expressed in polar coordinates
  • Velocity, speed, and acceleration for vector-valued or parametric functions
45 Multiple Choice Questions
4

Week 4:

  • Analysis of polar graphs using derivatives
  • Areas bounded by polar curves
6 Practice Free Response
5

Week 5:

  • Sequences and Series
  • Convergence and Divergence
45 Multiple Choice Questions
6

Week 6:

  • Power series and Taylor series
  • Radius and interval of convergence
6 Practice Free Response
7

Week 7:

  • Taylor polynomials and approximation
45 Multiple Choice Questions
8

Week 8:

  • Common series such as the p-series, geometric series, and harmonic series
6 Practice Free Response
9

Week 9:

  • Absolute versus conditional convergence
  • Alternating series
45 Multiple Choice Questions
10

Week 10:

  • Lagrange error bound
6 Practice Free Response
Feedback

Students and their parents will receive brief feedback after each class, regarding the student’s general participation in class. Students will also receive feedback on graded assignments via email. 

Schedule

15 hours of classes, 10 classes with 1.5 hours per class.

Need to prepare?

We recommended reading this article before starting the course: 

If you’re interested in AB-specific topics, please check out our AP Calculus AB Preparation class.  

2024 Spring Group Classes: Open for Registration

scoring worksheet

FREE 2024 AP Scoring Worksheet

With the scoring worksheet, you will be able to calculate your target score in preparation for the upcoming exam in May. We also have a full scoring worksheet available  below if you want to print it out and keep it in your folder. 
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