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Unformatted text preview: MAT131 Fall 2007 Final Review Sheet The final exam will be cumulative . Please look at the review sheets for Midterms 1 and 2 to review the material from earlier in the semester. (We may choose to write up a few more problems from earlier in the semester. You can find many more such problems in the textbook and on exams from previous semesters.) Particular emphasis on the final will be placed on the material which has not been tested on Midterms 1 or 2. Among this new material is the following. (i) Sketching the graph of a function, including all relevant features. Among these features: is the function odd, even or neither, what are the ver- tical and horizontal asymptotes (if any), what are the discontinuities (if any), what are the local maxima and minima (if any), where is the function increasing and where decreasing, what are the inflection points (if any), where is the function concave up and where concave down. (ii) LH opitals rule. Recognize indeterminate forms. Simplify limits lead- ing to 0 / 0 and / indeterminate forms using lH opitals rule. Know how to transform other indeterminate forms into one of these two types. (iii) Optimization problems. Given a word problem attempting to maximize or minimize some quantity given a collection of constraints, turn this into a calculus problem for finding an absolute maximum or absolute minimum. Solve this calculus problem. (iv) Newtons method. Understand the principle behind Newtons method and be able to carry it out with the aid of a calculator. Understand the pitfalls of Newtons method....
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This note was uploaded on 01/13/2012 for the course MAT 131 taught by Professor Christopherbay during the Fall '08 term at SUNY Stony Brook.
- Fall '08