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.