[MATH 127] - Final Exam Guide - Comprehensive Notes for the exam (230 pages long!)

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David deepwell- office hours are thursdays from 1300h-1430h at mc6426. >there are readings for every class- skim through your textbooks. It is an extremely useful tool for scientific investigation. It is the language of qualifying our results. Differentiation and integration (they are the inverse of each other) These 2 concepts are built upon limits, but functions come before that. It is a mathematical machine that takes an input and returns an output. [if you keep putting in the same input, you"ll keep getting the same output] Ex; f(x) = (x) = input, = algorithm, the result(s) of f(x) = output. Ex; suppose the cost, c (in cents) of sending a package is 10c when the package weighs less than 20g, and costs one cent per gram when greater than or equal to 20g. A function can be written visually by graphing the results. Ex; the number of people on a bus as a function of time.