Student Guide:The course starts with antiderivatives. Given a function, you have to figure out what it is the derivative of. This usually involves some guess work. The term "Indefinite Integral" is just another name for an antiderivative. It is strongly recommended that you review your derivatives during the first week of the quarter.Section 5.1 introduces the area problem and Riemann Sums (although this term isn't introduced until section 5.2). You should note that you have some freedom in choosing the sample points. Note especially that using the midpoint gives a good approximation. The definition of the Definite Integral as a limit of Riemann Sums is given in section 5.2. The concept of "area" vs. "signed area" is introduced. Many properties of integrals are given using area-based geometric arguments.
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