Welcome! Our Teaching Page has useful information for students in all of my classes. It has my schedule, LOR guidelines, and Usually Useful Pamphlets. One of them is the Checklist (pdf) which gives pointers on what I consider to be good mathematical writing. Further information is at our class-archive URL (I email this private URL directly to students).
There's a delta for every epsilon, It's a fact that you can always count upon. There's a delta for every epsilon And now and again, There's also an N. But one condition I must give: The epsilon must be positive A lonely life all the others live, In no theorem A delta for them. How sad, how cruel, how tragic, How pitiful, and other adjec- Tives that I might mention. The matter merits our attention. If an epsilon is a hero, Just because it is greater than zero, It must be mighty discouragin' To lie to the left of the origin. This rank discrimination is not for us, We must fight for an enlightened calculus, Where epsilons all, both minus and plus, Have deltas To call their own.Words and Music by Tom Lehrer,
American Mathematical Monthly, 81 (1974)
Quiz 1 (pdf).
Text through section 1.3.
Know how to compute:
The composition of two functions,
the inverse of an invertible function.
Given a fnc f: Know how to translate, flip (about y-axis, x-axis, some other hor. or vert. line), stretch (vertically or horizontally), rotate about the origin, rotate about the point (3, 8), the fnc f.
know howI mean know how to write a formula for the new function ITOf (in terms of) f. For example, if I say that L() is f() translated left by 17 units, then you would write
L(x) := f(x - -17) or you might write
L(x) := f(x + 17). [I happen to think that the first is superior but YMMV.]
If R is f rotated about the origin then you would write R(x) := -f(-x). Etc. Problems P.46: 1-4 are good practice.
Purported answers were sent by email.
|12Oct. Fri.||Quiz 2 (pdf). Know the differentiation rules for a product, quotients and composition of functions. Know how to differentiate exponentials.|
|29Oct. Mon.||Exam-A (pdf). will cover chapters 1,2,3, omitting the section on hyperbolic functions. Available are nine problems that did NOT make it onto exam-A.|
Areas between Curves.
You can also study this material from other calculus texts. The Marston Science Library has many good calculus texts that you may check-out.
A particularly good text is Calculus, by Michael Spivak.
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