Math 116
Math 260, Spring 2009
Honors Calculus
- Faculty: Antonella Grassi
- E-mail:
grassi AT math.upenn.edu
- Telephone: (215) 898-7997; Department office: (215) 898-8178
- Office: DRL 3E6; Department office: DRL 4W1-6.
- Office hours: Tue., 11am-noon until end of classes.
- Teaching Assistant: A. Auel
, DRL 3E2, (215) 898-8175;
Course structure:
- Lectures: TuTh 12-1:30pm, DRL 4C8.
- Recitations: Recitation: W, 6:00-7:30 PM; W, 7:30-9:00 PM, DRL 4C8.
- Textbooks: Tom Apostol, Calculus, volume II, second edition. On
reserve at MPA library, DRL 3N1; J. Shurman, Multivariable Calculus .
- Homework: Weekly problem sets, due in class on Friday.
- Exams: Exams in class on Feb. 24 and April 7. Frequent quizzes
in recitation. Final exam on May 5, 9-11am.
Description of course:
This is an honors version of Math 240. It will cover the material in greater depth than that course, with more challenging problems and more attention to definitions and to the reasons behind the results. The course assumes familiarity with the material in Math 116, an honors version of
Math 114. The precise sequence of topics within each semester will differ somewhat between the Math 114-240 sequence and the Math 116-260 sequence; but over the course of the two semesters, the honors sequence will cover the usual material and more. Students who wish to take further mathematics courses beyond Math 116 and 260 will be prepared to take either of two sequences in analysis/advanced calculus (Math 360-361 or Math 508-509), and either of two sequences in abstract and linear algebra (Math 370-371 or Math 502-503).
Contents of course:
- Linear algebra: vectors, matrices, systems of linear equations, eigenvalues and eigenvectors.
- Ordinary differential equations: linear differential equations, systems of differential equations.
- Calculus of scalar and vector fields: functions of several variables,
applications of differential calculus, line integrals, multiple integrals, surface integrals.
Grades:
The grades will be based on several components:
- Two in-class exams: 15% each
- Quizzes and recitation participation: 15% total
- Homework and class participation: 25% total (lowest homework dropped)
- Final exam: 30%
Homework
assignments for Math 260