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AP Calculus BC

The Complete Guide to AP Calculus BC for Students

What is AP Calculus BC?

The College Board offers an advanced placement course and exam called AP Calculus BC. It includes everything from AP Calculus AB and more, so it's like taking a full year of college-level calculus. Many students who take AP Calculus BC want to get college credit, build a strong foundation in STEM, and get ready for majors in math, engineering, computer science, economics, and physics.

We offer expert tutoring at mathaversity to help you understand AP Calculus BC concepts clearly and with confidence.

AP Calculus BC

Why should you take AP Calculus BC?

Full Content

Covers AB topics and extra BC topics like polar coordinates, sequences, series, and parametric equations.

Get More College Applications

AP Calculus BC is very important to colleges all over the world.

Get College Credit

If you do well on the test, you could get into advanced math classes in college.

Strong STEM Preparation

Teaches the analytical and problem-solving skills needed in technical fields.

An Overview of the AP Calculus BC Curriculum

AP Calculus BC covers the following units as per College Board guidelines:

AB Topics (included in BC)

  • Limits and Continuity
  • Differentiation: Definition and Fundamental Properties
  • Differentiation: Composite, Implicit, and Inverse Functions
  • Contextual Applications of Differentiation
  • Analytical Applications of Differentiation
  • Integration and Accumulation of Change
  • Differential Equations
  • Applications of Integration

Additional BC Topics

  • Parametric Equations, Polar Coordinates, and Vector-Valued Functions
  • Infinite Sequences and Series (Taylor & Maclaurin series, convergence tests, power series)

How the AP Calculus BC Exam Works

Our curriculum is meticulously structured into the eight units defined by the College Board, ensuring complete coverage and a logical progression of skills.

Part I: Multiple Choice (50% of the score)

  • Part A: 30 questions in 60 minutes (no calculator)
  • Part B: 15 questions in 45 minutes (you can use a graphing calculator)

Part II: Free Response (50% of the score)

  • Part A: You have 30 minutes to answer 2 questions (you can use a graphing calculator).
  • Part B: 60 minutes to answer 4 questions (no calculator)

AP Calculus BC vs AP Calculus AB

  • AP Calculus AB: Equivalent to one semester of college calculus.
  • AP Calculus BC: Equivalent to two semesters of college calculus.
  • Key Difference: BC includes series, sequences, and advanced applications not found in AB. Students who take BC automatically receive an AB subscore, which shows how they would have scored if they only took AP Calculus AB.

Worksheets for AP Calculus BC: Practice and Study

  • Limits and Continuity
  • Methods of Differentiation
  • Putting things together and using them
  • Equations in Polar and Parametric Form
  • Convergence and Infinite Series

Click here to get to the AP Calculus BC Worksheets Worksheet
If you use these worksheets regularly, you'll be ready for the test and sure that you can answer both multiple- choice and open-ended questions.

General Information about AP Calculus BC

Who Should Take AP Calculus BC?

  • Students who are good at maths and want to push themselves.
  • People who want to study STEM-related fields.
  • Students who don't want to take basic college maths classes.

How to Do Well in AP Calculus BC

  • Get a good grasp of algebra and pre-calculus. Use worksheets and old AP exam questions to practise on a regular basis.
  • Use graphing calculators wisely to help you solve problems.
  • Don't just memorise things; focus on understanding the concepts.
  • Get help from a tutor to improve your weak spots and feel more confident.

How mathaversity can help you do well

  • One-on-one tutoring that pays close attention to how fast you learn.
  • Practice Resources: worksheets, practice tests, and answers to old AP exams.
  • E-Learning Support: Online classes with tools that let you interact.
  • Ways to Improve Your Score: Test-taking tips, shortcuts, and ways to boost your confidence.

Last Thoughts

AP Calculus BC is a hard but rewarding class that can help you get into better colleges. If you get the right help and prepare well, you can do well in calculus and even enjoy the process.
Mathaversity can help you get started on your journey to success in AP Calculus BC!

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