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INTRODUCTION TO INTEGRAL CALCULUS |
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RECOMMENDED PRACTICE
TEXTBOOK
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Objectives & Resources
1. Understand that the definite integral of a function over an interval is the limit of a Riemann sum over that interval and can be approximated using a variety of strategies. [EU 3.2]
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2. Be able to interpret the definite integral as the limit of a Riemann sum. Be able to express the limit of a Riemann sum in integral notation. [LO 3.2A, EK 3.2A3, EK 3.4A3]
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a. Know that a Riemann sum, which requires a “partition” of an interval, is the sum of products, each of which is the value of the function at a point in a subinterval multiplied by the length of that subinterval of the partition. [EK 3.2A1]
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b.
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These may help with 2b:
Class Practice: Calculating Riemann Sums Exercise
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c.
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See TI Calculator Class Practice below as well as the Sample Content Assessment Items.
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3. Using technology: Find definite integrals (correct to 3-decimal-places) using your TI calculator.
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There may be slight variations in how this works depending on your calculator model, but the basic three approaches in this video should work for you. Your calculator might produce a template like the one at right. If so, just use your arrow keys to move among the boxes. To calculate the definite integral at the left, just enter 0, 2, the function, and x in the corresponding locations, using arrow keys to move around.
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