![]() The suggested time for Unit 9 is about 17 – 18 BC classes of 40 – 50-minutes, this includes time for testing etc.Īmortization Using finite series to find your mortgage payment. Topic 10.15: Representing Functions as Power Series. Finding the power series of a function by, differentiation, integration, algebraic processes, substitution, or properties of geometric series. Students should memorize the Maclaurin series for, sin( x), cos( x), and e x. Topic 10.14: Finding the Taylor and Maclaurin Series of a Function. The interval may be different at the endpoints. Term-by-term differentiation and integration of a power series gives a series with the same center and radius of convergence. The Ratio Test is used almost exclusively to find the radius of convergence. Topic 10.13: Radius and Interval of Convergence of a Power Series. Topic 10.11: Finding Taylor Polynomial Approximations of a Function. Topic 10.10: Alternating Series Error Bound. Topics 10.10 – 10.12 Taylor Series and Error Bounds Absolute convergence implies conditional convergence. ![]() Topic 10.9: Determining Absolute and Conditional Convergence. Topic 10.7: Alternating Series Test for Convergence. Topic 10.6: Comparison Tests for Convergence. Comparison test and the Limit Comparison Test Harmonic series and alternating harmonic series, p-series. Topic 10.5: Harmonic Series and p-Series. Topic 10.4: Integral Test for Convergence. Topic 10.3: The n th Term Test for Divergence. However, teachers may include additional methods. The tests listed below are tested on the BC Calculus exam. ![]() 2: Working with Geometric Series. Including the formula for the sum of a convergent geometric series. Topic 10.1: Defining Convergent and Divergent Series. ![]() These topics account for about 17 – 18% of questions on the BC exam. ![]()
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