•  Students will be able to approximate the area under the graph of a nonnegative continuous function by using rectangle approximation methods

• Students will be able to interpret the area under a graph as a net accumulation of a rate of change

Notes

•  Students will be able to express the area under a curve as a definite integral and as a limit of Riemann sums

• Students will be able to compute the area under a curve using a numerical integration procedure

Notes

•  Students will be able to apply rules for definite integrals and find the average value of a function over a closed interval

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• Students will be able to apply the Fundamental Theorem of Calculus

• Students will understand the relationship between the derivative and definite integral as expressed in both parts of the Fundamental Theorem of Calculus

Notes

• Students will be able to approximate the definite integral by using the Trapezoidal Rule 

Notes