But you can take some of the fear of studying Calculus away by understanding its basic principles, such as derivatives and antiderivatives, integration, and solving compound functions. Vector and parametric functions are both examples of multivariable functions. Limits and Continuity help in analyzing the behavior of graphs. The logistic growth model is defined by a certain differential equation. AP Calculus AB/BC Formula and Concept Cheat Sheet Limit of a Continuous Function If f(x) is a continuous function for all real numbers, then ) lim Limits of Rational Functions A. <>/Metadata 621 0 R/ViewerPreferences 622 0 R>> © 2005 Paul Dawkins Extreme Value Theorem: If f is continuous over a closed interval, then f has a maximum and minimum value over that interval. Calculus II For Dummies Cheat Sheet. The Lagrange error bound is useful for quantifying how accurately a Taylor polynomial approximates the function. On the AP Calculus BC test, vector and parametric functions are essential the same thing. Here again, the AB and BC tests cover a lot of the same ground. The slope of a parametric curve is given by: A polar function r = f(θ) defines a curve by how far away from the origin (r) each point is at any given angle (θ). AP Calculus Cheat Sheet Intermediate Value Theorem: If a function is continuous on [ a, b], then it passes through every value between f (a) and f ( b). It does not explicitly 3 0 obj Calculus Cheat Sheet Visit http://tutorial.math.lamar.edu for a complete set of Calculus notes. Last but not least, the AP Calculus BC exam includes topics on sequences and series. Or, if you’ve been putting things off, maybe this 1-Month AP Calculus Exam Study Guide is more up your alley. 1. sin θ+cos. Steve is a snail. ACT® is a registered trademark of the ACT, Inc.®. Then, with any chosen small step size h, you may approximate the solution using the following procedure algorithm: On the AP Calculus BC exam, you will be expected to know additional techniques of integration, including integration by parts and partial fractions. A high score (4-5) may qualify you for college credit or equivalency for two full semesters of calculus. 2 0 obj The AB and BC tests both cover the same topics as far as limits and continuity. Among power functions, those with higher powers grow faster than those with lower powers. Hopefully you’ve started studying already. Another term for this is a set of parametric equations. Arc length for polar and parametric functions. A function may be represented by a Taylor series centered at x = c. A Maclaurin series is simply a Taylor series centered at x = 0. You’ll also need to understand improper integrals. Either way, I hope this Calculus BC cram sheet could be just the right way for you to review for the test. In this Calculus BC cram sheet, I’ll provide just a few concepts and formulas that you should be aware of. Make sure you know how to find the radius and interval of convergence for a given power series. (BC Topic) The series, f 1 1 2 3 4 ( 1) 1 a ... n n, where á>0 converges if 1. endobj After answering each question, re-read the question statement to ensure that you’ve understood what they were asking. Limits and Continuity help in analyzing the behavior of graphs. 2. 1 R2 3 ⋯(the positive terms are decreasing) 2. lim á→∞ á=0 ALTERNATING SERIES ESTIMATION THEOREM (BC Topic) If an alternating series converges, the truncation error for the J ℎ partial sum is less than á+1 and has the same sign as the unused term. endobj Magoosh is a play on the Old Persian word In addition, Shaun earned a B. Mus.   Twitter By its nature, Calculus can be intimidating. BY Shaun Ault ON May 19, 2017, UPDATED ON October 26, 2018, IN AP Calculus. Thanks! <>/ExtGState<>/XObject<>/ProcSet[/PDF/Text/ImageB/ImageC/ImageI] >>/MediaBox[ 0 0 612 792] /Contents 4 0 R/Group<>/Tabs/S/StructParents 0>> Instead, think of it as a concise summary to help you review. View ap_calculus_ab-bc_cheat_sheet.pdf from MATHEMATIC 101 at Wylie East High School. Also, every closed endpoint is an extreme. :) If your comment was not approved, it likely did not adhere to these guidelines.

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