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

Silliness

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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 Δ 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! Δ (PDF format)

Exam II

• the review sheet Δ 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 Δ 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! Δ (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