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
GTalk: leuschke@gmail

Time & Place

MWF 9:30—10:25 in Carn 306

Office Hours

MWF 10:30—11:30 and 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

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Handouts, Review Sheets, and Study Guides

• Exam III study guide
• series flowchart
• series worksheet (one problem, #23, changed)
• Exam II study guide
• Exam I review sheet and “answers”
• algebra/trig review (and here’s a PDF version for printing)

Exam III

• the mean was 57% and the median was 62%. I “rebated” 8 points for the last problem, which I regret having included.

Exam II

• the mean was 62% and the median was 58%.

Exam I

• The mean and median were both 63%. Among people who come to class regularly, the median was 75%.

Calculus Links

(reverse-chronological, blog-style)

• Π is Wrong!
• Impossible Stack ZOMG IT’S BLACK MAGIC (also known as the harmonic series diverging)
• Leonhard Euler was the one who first proved that Σ(1/n²) = ²/6. Until he did, computing its exact value was known (for nearly 100 years) as the Basel Problem
• the harmonic series gets its name from the musical connection with harmony.
• the harmonic series diverges again and again (pdf)
• java applet for graphing sequences and their sequences of partial sums
• Medical researcher ‘invents’ integration, gets 75 citations
• graphing polar equations
• Famous Curves and animated demonstrations (ever get Freeth’s Nephroid in your Conchoid of de Sluze?)
• parametric curve applet
• a little bit about differential equations, including exponential growth/decay.
• approximating arc length by line segments
• some more improper integral examples
• the world’s nerdiest limerick:
  
• some more examples of trig substitutions
• a big page of tutorials on techniques of integration
• flash demos of average value and the Mean Value Theorem
• another page on the shell method
• nice animated demos of the method of shells and the other methods we’ve discussed
• a whole bunch of examples of volumes of solids of revolution with the washer method
• finding volumes of solids of revolution