Honors Calculus II
Instructor
Franz Pedit, LGRT 1542 & 1535
pedit@math.umass.edu
Office hours: M 12:00--1:00, Tu 11:30 -- 12:30
The
course covers integration in one variable, infinite series of
fucntions, and applications to differential equations, curves in the
plane, and basic physics etc.
Texts
Calculus: Early Transcendentals (any edition) by James Stewart.
Analysis by its History by Ernst Hairer & Gerhard Wanner.
Calculus (any edition) by Michael Spivak.
Grading
Home work problems will be assigned on a regular basis and graded.
There will be a midterm exam and a final exam.
The total grade will be the equally weighted average of those three
grades. D is in the range of 60-70, C 70-80, B 80-90, and A 90-100.
Midterm Exam: October 18, in class.
Final Exam: Take home exam, due noon on December 18.
TA
Andreas Hayash, LGRT 1335A
hayash@math.umass.edu
Discussion meeting: W 5:30--6:20 LGRT 143
Office hours: W 4:00--5:00, Thu 1:00--2:00.
Grader
Sylee Dandekar
sdandekar@umass.edu
By appointment
Home Work
classnotes • hw 1 • hw 2 • hw 3 • hw 4 • hw 5 • hw 6 • midterm • hw 7 • hw 8 • hw 9 • hw 10 • hw 11 • final
Course contents
Week 1: Concepts of lenght and area; definition of the Riemann integral.
Week 2: Fundamental Theorem of Calculus. Antiderivatives. Area.
Week 3: Techniques of integration and examples.
Week 4: Length of curves and volumes of solids.
Week 5: Improper integrals. y'=y, the exponential function revisited.
Week 6: Power series. Convergency.
Week 7: Taylor series of a function.
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.