All AP Calculus BC Resources
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All AP Calculus BC Resources
AP Calculus BC: even the name of the course may strike fear into many students; while AP Calculus AB tests easier (“A”) and intermediate (“B”) concepts, AP Calculus BC begins with the intermediate (“B”) concepts and tests the most difficult (“C”) concepts found in an introductory calculus class. If you’re nervous about missing crucial information in your AP Calculus class, need to figure out how the AP Calculus BC exam is structured, or want to find some excellent free resources you can use while studying for AP Calculus BC, you’ve come to the right place. After reading this guide, you’ll feel less apprehensive about AP Calculus BC and ready to take on its most challenging topics.
AP Calculus BC is a course that many high school students take in order to earn college credit. Before taking AP Calculus, students should have successfully completed four years of high school math. In particular, they should have encountered and mastered advanced concepts in basic functions, analytic geometry, trigonometry, and algebra before attempting to take an AP Calculus course. AP Calculus BC courses pertain to single-variable functions, covering all of the information taught in AP Calculus AB courses in addition to more advanced topics. Because of this, colleges usually grant students credit for whatever course they offer that typically follows their most basic introductory calculus courses. Students thus do the work of two introductory calculus classes in one AP course when taking AP Calculus BC, which makes for a course that is extremely challenging, but potentially very rewarding.
Students who successfully complete AP Calculus BC courses are invited to take the AP Calculus BC exam to demonstrate what they have learned and potentially earn college credit. The AP Calculus exam lasts for three hours and fifteen minutes and consists of a 45-question, 105-minute multiple-choice section and a six-question, 90-minute free-response section. Each of these sections is weighted equally, and each is divided into two parts. The first part of the multiple-choice section consists of twenty-eight questions and lasts for fifty-five minutes, and during this section, students may not use calculators. The second half of the multiple-choice section lasts for fifty minutes and consists of seventeen questions; during this section, students should use graphing calculators, as some questions will require them. The AP Calculus BC exam assumes that the calculators students use can do four things: graph functions, solve for functions’ zeros, calculate a function’s derivative, and calculate a definite integral’s value. Students’ scores on the multiple-choice section of the AP Calculus BC exam are determined only by the number of correct answers they submit; incorrect answers and skipped problems do not affect their scores. So, guessing is highly encouraged on the AP Calculus BC exam, as it cannot hurt students’ scores.
Like on the exam’s multiple-choice section, the AP Calculus BC exam’s free-response section begins by giving students thirty minutes to answer two questions while using a graphing calculator, and concludes by giving students an hour to answer four questions without using a calculator. Students are allowed to continue to work on their answers for the first part of the free response section after the first thirty minutes have elapsed; however, they are not allowed to use calculators when continuing or editing their responses. Showing one’s work is particularly important during the free-response sections of the AP Calculus BC exam. After completing the AP Calculus BC exam, students not only receive a score for the exam overall, but also an AP Calculus AB subscore, which is derived from exam questions that ask about topics covered both in AP Calculus AB and in AP Calculus BC.
One of the best places to find free AP Calculus BC resources for free online is at Varsity Tutors’ Learning Tools website. In particular, you can find AP Calculus BC Practice Tests here, each of which function like a little quiz you can use to test your skills. You can focus on particular type of problem, or choose to do problems drawn from various AP Calculus BC topics; the choice is yours. After you complete a free AP Calculus BC Practice Test, you get to see such data as how well you did in comparison to other who answered the same problems, and how much time it took you to complete each problem. You also get to access full explanations for each question, so if you missed a problem, you can figure out where you went wrong and prevent yourself from making the same mistake again.
You may also like to take a Full-Length AP Calculus BC Practice Test. These test your knowledge of the course content as a whole, and ask you to answer questions spanning the full range of topics you’ll need to know by the end of the year. One great way to start your review is by taking one of the complete practice tests. The results you’ll receive can help you to build an AP Calculus BC study plan that meets your needs. The feedback you’ll get from the free comprehensive online tests include the same valuable statistics you get on the topic-focused practice tests, but have the additional benefit of helping to tailor your study sessions by showing you the areas in which you’ll want to bone up. You can use any of the Learning Tools to review, and once you feel ready, you can take another Full-Length AP Calculus BC Practice Test when you’d like to check your progress.
By taking advantage of all of Varsity Tutors’ free AP Calculus BC resources, you can make sure that you don’t miss or misunderstand any AP Calculus BC content, and feel completely prepared for your AP Calculus BC exam!
Our completely free AP Calculus BC practice tests are the perfect way to brush up your skills. Take
one of our many AP Calculus BC practice tests for a run-through of commonly asked questions. You
will receive incredibly detailed scoring results at the end of your AP Calculus BC practice test to
help you identify your strengths and weaknesses. Pick one of our AP Calculus BC practice tests now
and begin!
Practice Tests by Concept
ap_calculus_bc-derivatives
Questions: 40
Test Difficulty:
Average Time Spent: 2 hrs 46 mins
ap_calculus_bc-applications-of-derivatives
Questions: 22
Test Difficulty:
Average Time Spent: 12 mins
ap_calculus_bc-euler-s-method-and-l-hopital-s-rule
Questions: 17
Test Difficulty:
Average Time Spent: 10 mins
ap_calculus_bc-velocity-speed-acceleration
Questions: 5
Test Difficulty:
Average Time Spent: 4 mins
ap_calculus_bc-computation-of-derivatives
Questions: 40
Test Difficulty:
Average Time Spent: 2 hrs 25 mins
ap_calculus_bc-chain-rule-and-implicit-differentiation
Questions: 8
Test Difficulty:
Average Time Spent: 58 mins
ap_calculus_bc-derivative-rules-for-sums-products-and-quotients
Questions: 12
Test Difficulty:
Average Time Spent: 12 mins
ap_calculus_bc-derivatives-of-parametric-polar-and-vector-functions
Questions: 11
Test Difficulty:
Average Time Spent: 1 hrs 40 mins
ap_calculus_bc-rules-of-basic-functions-power-exponential-rule-logarithmic-trigonometric-and-inverse-trigonometric
Questions: 11
Test Difficulty:
Average Time Spent: 7 mins
ap_calculus_bc-derivative-as-a-function
Questions: 11
Test Difficulty:
Average Time Spent: 2 hrs 1 mins
ap_calculus_bc-equations-involving-derivatives_aa
Questions: 1
Test Difficulty:
Average Time Spent: 42 secs
ap_calculus_bc-finding-maximums
Questions: 2
Test Difficulty:
ap_calculus_bc-graphs-of-f-and-f_aa
Questions: 1
Test Difficulty:
ap_calculus_bc-the-mean-value-theorem
Questions: 9
Test Difficulty:
Average Time Spent: 8 mins
ap_calculus_bc-derivative-at-a-point
Questions: 2
Test Difficulty:
Average Time Spent: 31 secs
ap_calculus_bc-derivative-defined-as-limit-of-difference-quotient
Questions: 18
Test Difficulty:
Average Time Spent: 1 hrs 19 mins
ap_calculus_bc-instantaneous-rate-of-change-average-rate-of-change-and-linear-approximation
Questions: 2
Test Difficulty:
ap_calculus_bc-second-derivatives
Questions: 1
Test Difficulty:
Average Time Spent: 1 mins 45 secs
ap_calculus_bc-concavity
Questions: 1
Test Difficulty:
ap_calculus_bc-inflection-points
Questions: 10
Test Difficulty:
Average Time Spent: 50 mins
ap_calculus_bc-functions-graphs-and-limits
Questions: 40
Test Difficulty:
Average Time Spent: 2 hrs 1 mins
ap_calculus_bc-asymptotic-and-unbounded-behavior
Questions: 3
Test Difficulty:
Average Time Spent: 3 mins
ap_calculus_bc-comparing-relative-magnitudes-exponential-growth-logarithmic-growth-polynomial-growth
Questions: 3
Test Difficulty:
Average Time Spent: 16 mins
ap_calculus_bc-identifying-asymptotes-graphically_aa
Questions: 12
Test Difficulty:
Average Time Spent: 56 mins
ap_calculus_bc-continuity
Questions: 3
Test Difficulty:
ap_calculus_bc-continuity-in-terms-of-limits
Questions: 3
Test Difficulty:
Average Time Spent: 1 mins 20 secs
ap_calculus_bc-limits
Questions: 5
Test Difficulty:
Average Time Spent: 1 mins 14 secs
ap_calculus_bc-calculating-limits-with-algebra-including-one-sided-limits_aa
Questions: 1
Test Difficulty:
Average Time Spent: 22 secs
ap_calculus_bc-estimating-limits-from-graphs-and-tables
Questions: 5
Test Difficulty:
Average Time Spent: 54 secs
ap_calculus_bc-parametric-polar-and-vector-functions
Questions: 39
Test Difficulty:
Average Time Spent: 1 hrs 19 mins
ap_calculus_bc-parametric-form
Questions: 11
Test Difficulty:
Average Time Spent: 9 mins
ap_calculus_bc-polar-form
Questions: 21
Test Difficulty:
Average Time Spent: 14 mins
ap_calculus_bc-vector-form
Questions: 7
Test Difficulty:
Average Time Spent: 3 mins
ap_calculus_bc-integrals
Questions: 7
Test Difficulty:
Average Time Spent: 6 mins
ap_calculus_bc-application-of-integrals
Questions: 18
Test Difficulty:
Average Time Spent: 1 hrs 50 mins
ap_calculus_bc-initial-conditions
Questions: 3
Test Difficulty:
ap_calculus_bc-length-of-curve-distance-traveled-accumulated-change-motion-of-curve
Questions: 5
Test Difficulty:
Average Time Spent: 18 mins
ap_calculus_bc-modeling-by-solving-separable-differential-equations_aa
Questions: 1
Test Difficulty:
ap_calculus_bc-volume-of-cross-sections-and-area-of-region
Questions: 10
Test Difficulty:
Average Time Spent: 16 mins
ap_calculus_bc-fundamental-theorem-of-calculus-and-techniques-of-antidifferentiation
Questions: 1
Test Difficulty:
ap_calculus_bc-fundamental-theorem-of-calculus-with-definite-integrals
Questions: 7
Test Difficulty:
Average Time Spent: 3 mins
ap_calculus_bc-improper-integrals
Questions: 4
Test Difficulty:
Average Time Spent: 6 mins
ap_calculus_bc-substitution-of-variables-by-parts-and-simple-partial-fractions
Questions: 1
Test Difficulty:
ap_calculus_bc-numerical-approximations-to-definite-integrals
Questions: 6
Test Difficulty:
Average Time Spent: 10 mins
ap_calculus_bc-riemann-sum-left-evaluation
Questions: 3
Test Difficulty:
Average Time Spent: 4 mins
ap_calculus_bc-riemann-sum-midpoint-evaluation
Questions: 3
Test Difficulty:
Average Time Spent: 1 hrs 23 mins
ap_calculus_bc-riemann-sum-right-evaluation
Questions: 1
Test Difficulty:
ap_calculus_bc-trapezoidal-sums
Questions: 3
Test Difficulty:
Average Time Spent: 2 mins 3 secs
ap_calculus_bc-polynomial-approximations-and-series
Questions: 14
Test Difficulty:
Average Time Spent: 8 mins
ap_calculus_bc-series-of-constants
Questions: 14
Test Difficulty:
Average Time Spent: 1 hrs 11 mins
ap_calculus_bc-alternating-series-with-error-bound
Questions: 5
Test Difficulty:
Average Time Spent: 5 mins
ap_calculus_bc-geometric-series
Questions: 7
Test Difficulty:
Average Time Spent: 11 mins
ap_calculus_bc-p-series
Questions: 5
Test Difficulty:
Average Time Spent: 17 mins
ap_calculus_bc-ratio-test-and-comparing-series
Questions: 14
Test Difficulty:
Average Time Spent: 33 mins
ap_calculus_bc-taylor-series
Questions: 12
Test Difficulty:
Average Time Spent: 21 mins
ap_calculus_bc-lagrange-error-bound-for-taylor-polynomials
Questions: 1
Test Difficulty:
Average Time Spent: 1 mins 42 secs
ap_calculus_bc-maclaurin-series
Questions: 6
Test Difficulty:
Average Time Spent: 25 mins
ap_calculus_bc-maclaurin-series-for-exponential-and-trigonometric-functions
Questions: 2
Test Difficulty:
ap_calculus_bc-radius-and-interval-of-convergence-of-power-series
Questions: 3
Test Difficulty:
Average Time Spent: 2 mins 8 secs
ap_calculus_bc-taylor-polynomial-approximation_aa
Questions: 12
Test Difficulty:
Average Time Spent: 1 hrs 24 mins
All AP Calculus BC Resources
Practice Quizzes
All AP Calculus BC Resources
All AP Calculus BC Resources