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Review of RAM Theory, Definite Integrals, and Approximation Methods

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Sharon Henry
Sharon Henry
Entertainment & HumorTechnology
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Review5.1-5.5
5.1 Do you know RAM theory? Which over- and under-approximates increasing and decreasing functions? How to compute given an equation? How to compute given data?
5.2 The Definite Integral Net Area:
Integrals on the TI-89 Syntax: To evaluate … 2nd 7 (f(x),x,a,b)
1. Order of Integration 2. Zero 3. Constant Multiple 4. Sum and Difference 5. Additivity 5.3 Properties of Definite Integrals:
5.3 MVT for Integrals… Somewhere between an inscribed and circumscribed rectangle is a rectangle whose area is exactly the area of the region under the curve.
5.3 Average Value Theorem The value f(c) from the MVT is the average value of f on [a,b]…
5.4 Fund. Thm of Calc: Part I
5.4 Fund Thm of Calc: Part 2
5.5 Trapezoidal Rule where n is the number of subintervals. The trapezoidal rule overapproximates CCU functions and underapproximates CCD functions.

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Review of RAM Theory, Definite Integrals, and Approximation Methods

  • 2. 5.1 Do you know RAM theory? Which over- and under-approximates increasing and decreasing functions? How to compute given an equation? How to compute given data?
  • 3. 5.2 The Definite Integral Net Area:
  • 4. Integrals on the TI-89 Syntax: To evaluate … 2nd 7 (f(x),x,a,b)
  • 5. 1. Order of Integration 2. Zero 3. Constant Multiple 4. Sum and Difference 5. Additivity 5.3 Properties of Definite Integrals:
  • 6. 5.3 MVT for Integrals… Somewhere between an inscribed and circumscribed rectangle is a rectangle whose area is exactly the area of the region under the curve.
  • 7. 5.3 Average Value Theorem The value f(c) from the MVT is the average value of f on [a,b]…
  • 8. 5.4 Fund. Thm of Calc: Part I
  • 9. 5.4 Fund Thm of Calc: Part 2
  • 10. 5.5 Trapezoidal Rule where n is the number of subintervals. The trapezoidal rule overapproximates CCU functions and underapproximates CCD functions.