Convergent Series Teacher Resources

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Students explore the Fundamental Theorem of Calculus. In the Calculus lesson, students investigate indefinite and definite integrals and the relationship between the two, which leads to the discovery of the Fundamental Theorem of Calculus. 
In this calculus worksheet, students solve 28 multiple choice problems. Students find derivatives, volumes, limits, convergent series, etc.
In this calculus instructional activity, learners solve functions using the derivatives. They calculate the volume where the graph is revolving around the x-axis, a line, the y-axis and where x=e. There are 28 questions.
In this calculus worksheet, students solve functions by taking the derivative of the equations. There are 28 questions using logs and trig functions.
In this AP Calculus BC practice exam, students solve twenty-eight multiple choice problems without the use of a calculator.  This worksheet should be completed in fifty-five minutes.
In this Calculus worksheet, students assess their understanding of various topics, including the derivatives of trigonometric functions, evaluating integrals, sigma notation, and convergent and divergent series.  The one page interactive worksheet contains fifty-two problems.  Answers are not provided. 
Sal explores more complex limit problems including showing how to take the limit of an expression with a square root by using the conjugate and how to simplify trigonometric functions that are part of limit problems. Note: A mistake is made on the last step of the first problem where multiplication should have been used instead of addition, resulting in the correct answer of 3/16.
Young scholars analyze taylor series for convergence. In this calculus lesson, students analyze the graph of a taylor series as it relates to functions. They use the TI calculator to graph and observe the different series. 
Explore differential equations by using models representing growth and decline. Using calculus, learners will investigate exponential and logistic growth in the context of several models representing the growth or decline of a population. Most of the models have a closed-form solutions. Problems and solutions are included.
Students solve problems using implicit differentiation. In this calculus lesson, students take the derivative to calculate the rate of change. They observe two robots and draw conclusion from the data collected on the two robots.
In this review for Calculus BC exam worksheet, learners solve sixteen various multiple choice problems.  These problems are designed as review and preparation for the AP Calculus Exam.
In this AP Calculus review worksheet, students solve twenty-eight multiple choice questions in preparation for the AP Calculus BC exam.
Sal explores more complex limit problems including showing how to take the limit of an expression with a square root by using the conjugate and how to simplify trigonometric functions that are part of limit problems. Note: A mistake is made on the last step of first problem where multiplication should have been used instead of addition, resulting in the correct answer of 3/16.
Twelfth graders investigate convergence of an infinite series.  In this Calculus lesson plan, 12th graders apply the integral test to determine convergence of an infinite series. 
In this Calculus worksheet, students are provided with problems of a similar nature to those on their exam.  Problems include limits, derivatives, and integrals.  The four page worksheet contains twenty-eight problems.  Answers are not included. 
Help your pupils define a Taylor polynomial approximation to a function f of degree n about a point x = a. After completing several problems with guided practice, individuals graph convergence of Taylor polynomials and use them to approximate function values.
Students investigate sequences and series numerically, graphically, and symbolically.  In this sequences and series instructional activity, students use their Ti-89 to determine if a series is convergent.  Students find the terms in a sequence and series and graph them.  Students use summation notation to determine the sum of a sequence.
Students find patterns in a sequence.  For this sequences and series lesson, students use their calculator to find the sequence of partial sums.  They graph functions and explore convergent series.  Students approximate alternating series.
Student approximate the roots of E using Newtons Method. In this calculus lesson plan, students calculate the equation of tangent a line. They use the TI to visualize the tangent line.
Students solve problems using the TI. In this calculus activity, students evaluate functions using sequences. They graph the functions on the TI and make observations.

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