Are you interested in taking AP® Calculus? If you are, then you’ve probably noticed that there are two different courses available: AP Calculus AB and AP Calculus BC . Here’s what you need to know about comparing AP Calculus AB vs BC. This information will help you choose which exam to take or if you should take both.
No. The structures of the two exams are absolutely identical including the question formats, question numbers, time allowed, and calculator rules. Here’s a breakdown of the structure:
Test | Section | Part | Questions | Minutes | Calculator Permitted? | Weighting | Question Format |
---|---|---|---|---|---|---|---|
Calculus AB | Section I | Part A | 30 | 60 | No | 33.3% | Multiple-Choice |
Part B | 15 | 45 | Yes | 16.7% | Multiple-Choice | ||
Section II | Part A | 2 | 30 | Yes | 16.7% | Free-Response | |
Part B | 4 | 60 | No | 33.3% | Free-Response | ||
AP Calculus BC | Section I | Part A | 30 | 60 | No | 33.3% | Multiple-Choice |
Part B | 15 | 45 | Yes | 16.7% | Multiple-Choice | ||
Section II | Part A | 2 | 30 | Yes | 16.7% | Free-Response | |
Part B | 4 | 60 | No | 33.3% | Free-Response |
Yes and no. Every topic that is tested on the AP Calculus AB exam is also tested on the AP Calculus BC exam. However, some topics are tested exclusively on the AP Calculus BC exam.
AP Calculus AB | AP Calculus BC | |
Limits and Continuity | Yes | Yes |
Intermediate Value Theorem | Yes | Yes |
Power, Product, Quotient, and Chain Rules | Yes | Yes |
Trigonometric and Inverse Trigonometric Derivatives | Yes | Yes |
Exponential and Logarithmic Derivatives | Yes | Yes |
Differentiating Inverse Functions | Yes | Yes |
Position, Velocity, and Acceleration | Yes | Yes |
Related Rates | Yes | Yes |
Approximation through Linearization | Yes | Yes |
L’Hospital’s Rule | Yes | Yes |
Mean Value Theorem | Yes | Yes |
Local/Global Extrema | Yes | Yes |
Concavity | Yes | Yes |
Optimization | Yes | Yes |
Reimann Sums | Yes | Yes |
u-Substitution | Yes | Yes |
Integration through Long Division | Yes | Yes |
Integration through Completing the Square | Yes | Yes |
Integration through Linear Partial Fractions | No | Yes |
Integration by Parts | No | Yes |
Improper Integrals | No | Yes |
Slope Fields | Yes | Yes |
Euler’s Method | No | Yes |
Exponential Differential Equations | Yes | Yes |
Logistic Differential Equations | No | Yes |
Average Value Theorem | Yes | Yes |
Areas Between Curves | Yes | Yes |
Volumes with Cross Sections and Axes of Rotationv | Yes | Yes |
Arc Length | No | Yes |
Parametric Equations | No | Yes |
Polar Equations | No | Yes |
Infinite Series | No | Yes |
Power Series | No | Yes |
Taylor Polynomials | No | Yes |
According to College Board, the AP Calculus AB course is approximately equivalent to the first semester of college calculus, while the AP Calculus BC course is approximately equivalent to the first two semesters of college calculus. However, it’s up to individual colleges to determine what credit and/or placement to award, so it’s best to check with them regarding what will transfer over.
Not necessarily. When you receive your score report for the AP Calculus BC exam, you will also receive a Calculus AB subscore. This subscore reflects the portion of your AP Calculus BC exam that included topics that are also tested on the AP Calculus AB exam. This subscore will have the same 1–5 scale as the AP Calculus AB or AP Calculus BC exams. College Board encourages colleges to treat the Calculus AB subscore the same as they would treat the AP Calculus AB exam. However, this may also vary depending on the policies of each individual college, so check with the schools you’re applying to.
Use this information, along with guidance from your councilors, to make an informed decision about which course is best for you.
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