Franz Pedit, LGRT 1542 & 1535
Office hours: Wed 2:00-3:30 and by appointment
Nakamura, LGRT 1423C
Discussion meeting: Fr 9:05-9:55
Office hours: Tu 9:00-10:00, Fr 10:00-12:00, Tu 10:00-11:00 in
Group project meetings: TBA
4-credit course, which is part of a TEFD project and thus run somewhat
differently from the other sections, will cover integration, infinite
series, and applications to differential equations, geometry, and physics.
Historical perspectives, wider contexts, and emphasis of the underlying
theory will be central to the development of the material. Prospective
students must have a very thorough understanding and very good working
knowledge of Calculus I. If Calculus I were etudes, this course will be
your first (easy) Beethoven sonata. Intellectual curiosity, the ability to
deviate from a formulaic/recipe oriented thought process, and active
participation during class and home work projects are crucial to be
successful in this course. Peer collaboration, weekly meetings with the
TA, and seminar style interactions are strongly encouraged. Recommended,
but not obligatory, texts include
Calculus (any edition) by Michael Spivak.
Analysis by its
History, Ernst Hairer & Gerhard Wanner.
Early Transcendentals (any edition) by James Stewart.
Home work problems will be
assigned on a regular basis and graded. There will be a midterm exam and a
The total grade will be the equally weighted average of those three
grades. D is in the range of 50-61, C 62-74, B 75-87, and A 88-100.
Midterm Exam: Tuesday,
October 22, in class (please arrive on time or a bit earlier)
Final Exam: scheduled
notes • hw
2 • hw
3 • hw
4 • hw
6 • midterm
7 • hw
8 • hw
9 • hw
10 • final
Last year's home work problems
2 • hw
3 • hw
Week 1: Concepts of length and area;
definition of the Riemann integral.
Week 2: Fundamental Theorem of Calculus. Antiderivatives. Area.
Week 3: Techniques of integration and examples.
Week 4: Special substitutions.
Week 5: Improper integrals and curve length.
Week 6: Volume of solids. Area of rotational surfaces.
Week 7: y'=y and infinite series.
Week 8: Applications of Taylor series.
Week 9: Complex numbers and Taylor series 1.
Week10: Complex numbers and Taylor series 2.
Week11: Euler's formula.
Week 12: Applications to geometry and physics.
Week13: What comes next? An outlook.