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 Δ (including assigned problems)
supplement to the syllabus for my section Δ
first homework assignment Δ (for my section only!)

Silliness

Rate this professor!

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 Δ
• review sheet Δ, or you could just memorize this:

Attach:serieswarninglabel.jpg Δ

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 Δ, 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 Δ

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 Δ (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