The course is over! Final grades have been submitted to MySlice. Thanks to everyone for a great semester, and enjoy your summer.

On this page…

Basic Info

Instructor

Prof. Graham Leuschke
email: gjleusch@math.syr.edu
AIM: leuschkeg
Yahoo!: graham_leuschke
Google: leuschke@gmail
or see below!

Time & Place

TR 12:30—1:50, Carnegie 316

Recitation

F 12:45—2:05, Carnegie 311

Office Hours

MW 10—12, TR 3:30—4:30; by appointment; and any time my door is open (206C Carnegie)

Important documents

syllabus for all Tuesday-Thursday sections
supplement to the syllabus for my section

Homework

WebAssign

Final Exam

The final exam for the course was on Monday 10 May, 12:30—2:30 pm, in Hall of Languages 207. The final was quite difficult.

Exam III

The third and final midterm exam was on Friday, April 30. It covered 14.8 (Lagrange Multipliers) through 16.1–2 (Vector Fields and Line Integrals). That’s a lot of material. Here is a review sheet (it doesn’t have any Lagrange Multiplier problems on it, whoops). Here are the answers (typo on the answers for 7b and 12, fixed now). The mean score was 77.72, and the median was 75.5.

Exam II

The second exam was on Friday, March 26. It covered 13.4 through 14.7. (No Lagrange Multipliers.) A review sheet is here. Answers are here (corrected version). The mean score was 82.71, and the median was 86.

Exam I

The first exam was on Friday, February 19. It covered all of Chapter 12 and sections 1—3 of Chapter 13. Here is a review sheet. Answers are here. The exam scores were pretty good: a mean of 79.8 and a median of 80.

Calculus Links

(reverse-chronological, blog-style)

• some review material on line integrals of vector fields, the Fundamental Theorem of Calculus for Line Integrals, and Green’s Theorem
• 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 directional derivatives
• gradients, directional derivatives, and the tangent plane
• interactive partial derivatives
• topo maps of the Syracuse area including East Syracuse, from which I made the topo map of campus
• lots of animations of parametrized curves, some with tangent, normal, and binormal vectors or velocity/acceleration vectors.
• great new applet for lots of vector things
• a couple of non-quadric surfaces: monkey saddle and a spiky thing (fixed links)
• here are a bunch of pictures of quadric surfaces
  • an interactive gallery of all the quadric surfaces
  • hyperboloids of one sheet: animated gif, still image (local), with horizontal traces, with vertical traces, interactive
  • hyperboloid of two sheets: animated gif, with horizontal traces, with vertical traces
  • saddle (aka hyperbolic paraboloid): animated gif, still image (local) and horizontal traces one and two
• applet: cross products in 3-space
• applet: dot products and projections
• applet: graphing vector calculator
• working with vectors

IM me

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