Teaching/Math 397 Fall 2007
The course is over! Course grades have been posted. Thanks to everyone for a great semester.
Basic Info
- Instructor
- Prof. Graham Leuschke
email:gjleusch@math.syr.edu
AIM:leuschkeg
Yahoo!:graham_leuschke
GTalk:leuschke@gmail - Time & Place
- MWF 10:35—11:30 in Carn 208
- Recitation
- Th 2:00—3:20 in Carn 316
- Office Hours
- MWF 9:30—10:30, M 1—2, T 3:30—5; by appointment; and any time my door is open (206C Carnegie)
- Important documents
- syllabus for all sections (with Thursday recitations)
supplement to the syllabus for my section - Silliness
- Rate this professor!
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The Final Exam
- Wednesday, 12 December, 8:00am—10:00am, in HBC Gifford Auditorium. (Here’s the official schedule)
- review sheet from 5 Dec and answers
- Finals Week Office Hours: Mon 10 Dec: 1—4pm, Tues 11 Dec: 10am—12noon, Thur 13 Dec: 3—5:30pm
Exam III
- in recitation on Thursday, November 29
- here’s the review sheet and solutions
Exam II
- in recitation on October 25
- the review sheet I handed out on 19 Oct, and answers. There were (of course) a few typos in the answers. The linked PDF is corrected with all the ones I know of (as of noon Wednesday).
- the exam results were quite good again: mean of 83 and median of 86 percent.
Exam I
- the review sheet I handed out on 26 Sept
- despite the administrative mishaps that marred Exam I, the outcome was pretty good. Mean and median were both 78 percent.
Announcement
We’re modifying the syllabus for Chapter 13 slightly to give us more time at the end of the semester. Here are the changes.
- Section 13.3, we’re skipping arclength parametrization and curvature, and reducing the homework problems to just numbers 1, 3, 4, 39, 41.
- Section 13.4, we’re skipping normal and tangential acceleration and Kepler’s Laws, and eliminating problems 31 and 33 from the assignment.
The good news is that this will allow us to reach Green’s Theorem by the end of the semester.
Calculus Links
(reverse-chronological, blog-style)
- highly groovy Java animations of vector fields
- some worked examples of triple integrals
- min/max animations
- Riemann sums converging to volume (.mov file)
- interactive demo of directional derivatives
- interactive demo of slicing a paraboloid with a plane and visualizing the tangent plane
- interactive partial derivatives
- topo maps of the Syracuse area, including East and West Syracuse (both PDFs), from which I got the topo map of campus to demonstrate level curves.
- animations of parametrized curves with tangent and normal vectors
- cylindrical coordinates
- spherical coordinates
- graphing polar equations
- applications of hyperboloids, including an explanation of why they’re used for power-plant water cooling towers, which I mentioned in class.
- (Most Awesome Link) The Interactive Gallery of Quadric Surfaces (Thanks Herbie!)
- some quadric surfaces: saddle, 1-sheet hyperboloid (see your text for others), and some non-quadric surfaces (we’ll come back to these): spiky thing, and monkey saddle
- (Awesome Link) a huge number of animated surfaces
- (local) animation of traces of a saddle z=x^2-y^2 in planes z=k
- animations of a hyperboloid of one sheet, a hyperboloid of two sheets, and a hyperbolic paraboloid (saddle)
- applet: cross products in 3-space
- applet: dot products and projections
- applet: graphing vector calculator
- working with vectors
Random Math Links
- ever wondered how to turn a sphere inside out ?
- Moebius transformations (YouTube link) are certain kinds of functions from R2 to R2.
- Some of what mathematicians do (PDF)
- Famous Curves and animated demonstrations (ever get Freeth’s Nephroid in your Conchoid of de Sluze?)
Misc. Links
- Mathematician of the Day
- the most common errors in undergraduate math (I don’t agree with all of this, but it’s interesting.)
- Paul Dawkins’ notes on How to Study Math, including Studying For Exams, Taking Exams, and Learning From Your Errors.