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Basic Info

Instructor

Graham Leuschke
email: gjleusch@math.syr.edu
AIM: leuschkeg
Yahoo!:graham_leuschke

Time & Place

MWF 9:30—10:25, Carnegie 311

Recitation

T 2—3:20 in 300 Carnegie, Marju Purin

Office Hours

MW 3—5pm; T 10—11:30am and 3—5pm; by appointment; and any time my door is open (206C Carnegie)

Important documents

syllabus for all sections (Tuesday recitations)
suggested homework problems
supplement to the syllabus for my section

Silliness

Rate this professor!

Final Exam

• Monday, 8 May
• 8—10 am in the morning
• 107 Hall of Languages
• cumulative
• special Office Hours: Wed 1:30—5, Thu 1:30—5, Fri 1:30—4.

Exam III

• the review sheet I tried to hand out on 12 April
• Tuesday, 18 April, in recitation
• covers Chapter 14, sections 5—8 and Chapter 15 sections 1—8
• Statistics: the mean was 87.5, and the median was 89. The scores were generally excellent.
• Solutions! (PDF format)

Exam II

• the review sheet I handed out on 3 March
• Monday, 6 March, 7:00—8:30 pm
• my section in Carnegie 313
• covers all of Chapter 13 and Chapter 14 sections 1–4
• Statistics: the mean was 77.23, and the median was 82.5. The scores were roughly equivalent with the other sections.

Exam I

• the review sheet I handed out on 3 February
• Statistics: the mean was 76.21, and the median was 78. One question (number 3) was particularly treacherous for people.
• Solutions! (PDF format)

Calculus Links

(reverse-chronological, blog-style)

• 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.
• animation of level curves tracing out a saddle (again)
• animation of v(t) (in red) and a(t) (in green)
• animations of space curves, tangent vectors, and normal vectors
• cylindrical coordinates
• spherical coordinates
• graphing polar equations
• applications of hyperboloids, including an explanation of why they’re used for nuclear cooling towers, which Yu asked in class.
• (Most Awesome Link) The Interactive Gallery of Quadric Surfaces (this is so cool you’ll plotz)
• 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)
• a free program for graphing in 2d and 3d
• applet: cross products in 3-space
• applet: dot products and projections
• applet: graphing vector calculator
• working with vectors

Random Math Links

• just for fun: wanna see what a four-dimensional solid looks like? (flash, background here)
• 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.

Local Links

• Syracuse Math Department