Section 4.2: The Mean Value Theorem.
 Know when a function satisfies the conditions of the MVT on a given interval.
 Know when a function is continuous and when its differentiable.
Section 4.8: Anti-derivatives.
 Know the properties of anti-derivatives.
 Be able to compute anti-derivatives using the rules listed on Worksheet 4.8
 Be able to compute the “+c”.
 Be able to do one dimensional kinematics (both horizontal and vertical).
Section 5.1: Area under Curve.
 Be able to compute areas using geometry.
 Be able to create a partition (both evenly spaced and not) of a closed interval.
 Be able to compute the Left Riemann sum using n evenly spaced rectangles.
 Be able to compute the Right Riemann sum using n evenly spaced rectangles.
 Be able to compute the Midpoint sum using n evenly spaced rectangles.
 Know when an estimation sum is an overestimate, underestimate, or neither.
Section 5.2: Sigma Notation
 Be able to compute basic sigma notation by expanding terms.
 Be able to condense a sum of a few terms into sigma notation.
 Be able to apply the linear, quadratic, and cubic formula for values of n.
 Be able to “compute Sn”. (See WebWork Section 5.2).
 Be able to compute the limit of Sn as n goes to infinity.
Section 5.3: Definite Integral
 Be able to apply the properties of Integrable Functions on Section 5.3.
 Be able to apply Theorem 1: Existence of Definite Integrals.
Section 5.4: The Fundamental Theorem of Calculus
 Be able to apply the FToC to compute areas under the curve.
 Be able to work with functions in integral form.
 Be able to compute derivatives of functions in integral form using FToC.
 Be able to sketch piecewise functions and, using FToC, determine its area
under the curve.
 Be able to compute the total area of a function at a given interval.
Section 5.5: The Indefinite Integral
 Be able to compute integrals using u-substitution.
 Be able to cleverly manipulate integrand to compute its indefinite integral.
Section 5.6: Area Between Curves
 Be able to compute a definite integral using u-substitution.
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Be able to compute the area between curves for a given interval.
Be able to compute the area between curves when no interval is given.