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Chapter1Review: Calculus I & II

Objectives

When you complete this chapter you should be able to:

  1. Summarize the ideas you learned in Calculus I and II, including graphing, derivatives (product, quotient, power, chain, trig, exponential, and logarithm rules), and integration (\(u\)-sub and integration by parts).

  2. Compute the differential \(dy\) of a function and use it to approximate the change in a function.

  3. Illustrate how to solve systems of linear equations, including how to express a solution parametrically (in terms of \(t\)) when there are infinitely many solutions.

  4. Extend the idea of differentials to approximate functions using parabolas, cubics, and polynomials of any degree.