Sequences and series ap calculus bc1/12/2024 ![]() ![]() Infinite Sequences & Series (BC Only) 10.0Unit 10 Overview: Infinite Series and Sequences. Students who take AP Calculus BC should have basic familiarity with sequences and series, as well as some exposure to parametric and polar equations. Unit 10 study guides written by former AP Calc students to review Infinite Sequences & Series (BC Only) with detailed explanations and practice questions. Use the indicated test for convergence to determine if the series converges or diverges. You’ll perform experiments and investigations and solve problems by applying your knowledge and skills. Students should also know how the sine and cosine functions are defined from the unit circle and know the values of the trigonometric functions at the numbers 0,, 6432 ππππ, and their multiples. 1 (a) What is the sum of 1 n 1 3 Using your calculator, calculate S 500to verify that the SOPS (sum of the partial sums) is bounded by the sum you found in part (a). Unit 10 study guides written by former AP Calc students to review Infinite Sequences & Series (BC Only) with detailed explanations and practice questions. Explore the concepts, methods, and applications of differential and integral calculus, including topics such as parametric, polar, and vector functions, and series. However, AP Calculus BC contains two additional units (Units 9 and 10), plus some extra topics in Units 6 8. ![]() Students must also understand the language of functions (domain and range, odd and even, periodic, symmetry, zeros, intercepts, and descriptors such as increasing and decreasing). All topics in the eight units of AP Calculus AB are also included in AP Calculus BC. In particular, before studying calculus, students must be familiar with the properties of functions, the composition of functions, the algebra of functions, and the graphs of functions. These functions include linear, polynomial, rational, exponential, logarithmic, trigonometric, inverse trigonometric, and piecewise-defined functions. Prospective calculus students should take courses in which they study algebra, geometry, trigonometry, analytic geometry, and elementary functions. Before studying calculus, all students should complete the equivalent of four years of secondary mathematics designed for college-bound students: courses that should prepare them with a strong foundation in reasoning with algebraic symbols and working with algebraic structures. ![]()
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