Math 116, Fall 2018
Honors Calculus
- Faculty: David Harbater
- E-mail:
harbater AT math.upenn.edu
- Telephone: (215) 898-9594; Department office: (215) 898-8178
- Office: DRL 4E2A; Department office: DRL 4W1-6.
- Office hours: Fridays 2-3pm during the semester, except holidays.
(Note: During the week of Dec. 3, office hours will be Wed. 3:30-4:30 instead of Friday.)
- Teaching Assistants:
Artur Bicahlo Saturnino (201-202),
Stephen Gillen (203-204).
(See their web or Canvas pages for their office hours.)
Course structure:
- Lectures: MWF 11am-noon, DRL Room A6, starting August 29.
- Labs: Mon. 6-7:30pm and Mon. 7:30-9pm, DRL rooms 3C6/3C8.
Each student is registered
in one of these four labs.
- Textbook: Tom Apostol, Calculus, Volumes I and II, second edition. On
reserve at MPA library, DRL 3N1.
- Homework: Weekly problem sets, to be submitted in lecture on Wednesday (except when otherwise indicated).
These will be available from the links below, as they are assigned.
- Exams: Three exams in class: Fri., Sept. 28; Wed., Nov. 7; and Mon., Dec. 10.
The exams are not cumulative. There is no final exam. There will be
frequent quizzes in lab.
Sample Exam 1. Exam 1 info.
Sample Exam 2. Exam 2 info.
Sample Exam 3. Exam 3 info.
Note: During exams, no computers, calculators, notes or other aids can be
used,
except for a single two-sided handwritten 5"x7" index card.
Description of course:
Math 116 is an honors version
of Math 114.
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, including proofs.
Like Math 114, the course assumes familiarity with the material in
Math 103
and
Math 104.
Math 116 is followed by Math 260,
an honors version of
Math 240.
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 algebra (Math 370-371 or Math 502-503).
Contents of course:
- Foundations of
calculus: rigorous review of the real and complex numbers, limits and
continuity, differentiation and integration.
- Vector algebra and
its applications.
- Calculus of vector-valued
functions and of scalar and vector fields, and applications.
- Line integrals, multiple integrals, and surface integrals.
Current syllabi for honors calculus (revised 2018-19):
Lecture notes for Nov. 19-26, and for Nov. 28 - Dec. 7.
Grades:
The grades will be based on several components:
- Three in-class exams: 20% each
- Quizzes and recitation participation: 15% total
- Homework and class participation: 25% total (lowest homework dropped)
- Individual grades can be found online on Canvas.
Homework
assignments for Math 116
Useful resources.
Back to David Harbater's Home Page.