LIM-7.A.10 The alternating series test is a method to determine whether an alternating series converges. _ 10.7 Alternating Series Test for Convergence BC ONLY LEARNING OBJECTIVE LIM-7.A.9 The limit comparison test is a method to determine whether a series converges or diverges. LIM-7.A.8 The comparison test is a method to determine whether a series converges or diverges. _ 10.6 Comparison Tests for Convergence BC ONLY LEARNING OBJECTIVE LIM-7.A.7 In addition to geometric series, common series of numbers include the harmonic series, the alternating harmonic series, and p-series. LIM-7.A Determine whether a series converges or diverges. _ 10.5 Harmonic Series and p-Series BC ONLY LEARNING OBJECTIVE BC ONLYīlog Posts Find post on Integral test in Good Questions? LIM-7.A.6 The integral test is a method to determine whether a series converges or diverges. _ 10.4 The Integral Test for Convergence BC ONLY LEARNING OBJECTIVE Which Convergence Test Should I Use? Part 2 Making the best choice Which Convergence Test Should I Use? Part 1 You have a big choice Download and copy for your students (and yourself) However, teachers may include additional methods in the course, if time permits.īlog Posts Convergence Test List A summary of the tests. Other methods are not assessed on the exam. BC ONLYĮXCLUSION STATEMENT The nth term test for divergence, and the integral test, comparison test, limit comparison test, alternating series test, and ratio test for convergence are assessed on the AP Calculus BC Exam. LIM-7.A.5 The nth term test is a test for divergence of a series. _ 10.3 The n th Term Test for Divergence BC ONLY LEARNING OBJECTIVE LIM-7.A.4 If a is a real number and r is a real number such that | r| <1, then the geometric series BC ONLYīlog Posts Geometric Series – Far Out A very interesting and instructive mistake LIM-7.A.3 A geometric series is a series with a constant ratio between successive terms. _ 10.2 Working with Geometric Series BC ONLY LEARNING OBJECTIVE BC ONLYīlog Posts The Hindu-Arabic Series – the most import series.Įveryday series the most familiar series: NumbersĪ Lesson on Sequences Suitable for Algebra 1 or as an introduction to series in calculusĪmortization An important use of a (finite) series – Find you mortgage payment without calculus. LIM-7.A.2 An infinite series of numbers converges to a real number S (or has sum S), if and only if the limit of its sequence of partial sums exists and equals S. LIM-7.A.1 The nth partial sum is defined as the sum of the first n terms of a series. The Course & Exam Description (CED) for AP Calculus AB and BC can be found HERE.LIM-7 Applying limits may allow us to determine the finite sum of infinitely many terms.ġ0.1 Defining Convergent and Divergent Infinite Series BC ONLY LEARNING OBJECTIVE Curriculum for each subject area is created by a panel of experts and college-level educators in that field of study. Colleges and universities may grant placement and course credit to students who obtain high scores on examinations. *This course is offered for dual credit through UMSL.Ĭurricula for Advanced Placement (AP) courses are created by the American College Board, which offers high level coursework and exams to high school students. This course encompasses two full semesters of university-level calculus. Throughout the course, students will practice AP type problems and questions in preparation for the AP exam. Because of the timing of the AP exam, AP Calculus BC students will proceed at an accelerated pace. Students enrolled in AP Calculus BC will enhance their understanding of topics covered in AP Calculus AB and will also engage in a complete analysis of parametric equations, vectors, series and sequences. Students cultivate their understanding of differential and integral calculus through engaging with real-world problems represented graphically, numerically, analytically, and verbally and using definitions and theorems to build arguments and justify conclusions as they explore concepts like change, limits, and the analysis of functions. Contemporary Issues & Project-Based Historical InquiryĪP Calculus BC is an introductory college-level calculus course. American Government through Comparative Perspectives.Advanced Strength, Conditioning & Fitness. Music Production and the Recording Arts.Newspaper Journalistic Writing II Honors.Magazine Journalistic Writing II Honors.Introduction to Fashion & Interior Design.Engineering Design & Development (PLTW).Civil Engineering & Architecture (PLTW).
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