The course is over! Thanks to everyone for a good semester.

On this page…

Basic Info

Instructor

Prof. Graham Leuschke

Contact

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

Time & Place

MWF 11:40—12:35, Carnegie 208

Recitation

Dong Mao, 103C Archbold
T 11:00—12:20 in Carnegie 114

Office Hours

MW 10—11, TR 11—12:30; by appointment; and any time my door is open (206C Carnegie)

Important documents

syllabus for all sections with Tuesday recitations (including assigned problems)
supplement to the syllabus for my section
first homework assignment (for my section only!)

Silliness

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Final Exam

• The mean was 59.8%, median was 68.

Exam III

• The mean was 58.58%, median was 63.5. The exam was scaled by adding 4 points to every score.
• a bunch of practice series
• review sheet, or you could just memorize this:

Exam II

• The scores were quite good; the average was around 78%. There was a distinct correlation between people who attend class regularly and high scores on the exam. Hard to imagine.
• a review sheet, with a section-by-section walkthrough of the material on the exam.

Exam I

• mean was 68.27, median 69. People had quite a lot of trouble with the integrals.
• solutions

Calculus Links

(reverse-chronological, blog-stylee)

• Series Convergence/Divergence Flow Chart (PDF)
• 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 does indeed get its name from the musical connection. I was right!
• the harmonic series diverges again and again (pdf)
• java applet for graphing sequences and their sequences of partial sums
• What the hell is the Fibonacci Series? (note: the author is screwing up the words here: he means Sequence, not Series. He’s a dork.)
• a gallery of conic sections
• graphing polar equations
• Famous Curves and animated demonstrations (ever get Freeth’s Nephroid in your Conchoid of de Sluze?)
• parametric curve applet
• US population will reach 300 million on Tuesday Oct 17!
• animated surface of revolution and washers giving the volume
• approximating arc length by line segments
• some practice integrals (pdf)
• tutorial on trig substitutions
• some thoughts on strategies for integration
• a help page for partial fractions
• another page about partial fractions
• practice problems for integration by substitution
• nice animated demo of the method of shells and lots of helpful pictures
• a volume of rotation (flash) and several other animations
• Gabriel’s Horn

Misc. Links

• Some of what mathematicians do (PDF)
• 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.
• Syracuse Math Department