MULTIVARIABLE CALCULUS
MATH
2202 Sections 01 and 02
Fall Semester 2016
Instructor: Prof. Solomon
Friedberg
Teaching Assistant:
Mr. Clayton
McDonald
WELCOME!
Welcome to Multivariable Calculus,
MATH2202. This class has 3 hours of lecture with Professor
Friedberg and one hour of recitation section with Teaching
Assistant McDonald per week. The lectures take place Monday,
Wednesday and Friday in Cushing Hall, Room 334b. Section 01
meets 9 to 9:50 a.m., and Section 02 meets 10 to
10:50 a.m. Attendance at all lectures for your section is
required. The recitation
section takes place on Thursday (3 choices of time: 9am, 12 noon
and 3pm), and it has a separate number, MATH2251; all
students in Sections 01 and 02 must co-register for a
Section of MATH2251. Attendance
at your recitation section each week is also required.
Course
Syllabus (Version of August
29, 2016.)
WHY TAKE MULTIVARABLE CALCULUS?
Because:
- We need multiple variables to describe the
geometry of our 3-dimensional world (or 4-dimensional
space-time, etc.). The graph of y=f(x) is a curve
in the (x,y)-plane. How can you describe a curve in
3-space? A surface in 3-space?
- Most real-world quantities depend on many
input variables. So if we want to model real-world
phenomena, we need to learn how to use functions of several
variables. When a quantity you are interested in
depends on several inputs,
how can you assess what changing one of the inputs will do
to the output? How can we generalize the
derivative
$\backslash frac\{dy\}\{dx\}?$
- We study the accumulation of a quantity by
integration. In Single Variable Calculus, you learned
the Fundamental Theorem of Calculus, which says that the
total change is obtained by integrating the instantaneous
change$$f(b)-f(a)=\backslash int\_a^b\; f\text{'}(x)\backslash ,dx\; \backslash ,\backslash ,.$$$$f(b)-f(a)=\backslash int\_a^b\; f\text{'}(x)\backslash ,dx$$
How can we understand
accumulated change when there are
two (or more) independent inputs? In Multivariable Calculus, geometry blends with
integration in ways that are considerably more subtle than
in single variable calculus.
DO YOU NEED HELP IN MATH2202, Sections
01/02 ?
Professor
Friedberg's Office Hours are held in Maloney
523, Mondays and Fridays 2 to 3 and Wednesdays
11:30-12:30. Prof. Friedberg is also available by
appointment at other times--please email him (friedber
"at" bc "dot" edu). He is always happy to meet with
students.
Finals week office hours, week of
December 11-17: Monday, Tuesday, Thursday, Friday
2-3 pm.
Teaching Assistant
McDonald's Office Hours are held in Maloney 537, Tuesdays 4-5,
Wednesdays 2-3 and Thursdays 1-2.
Finals
week office hours, week of December 11-17:
Monday, Tuesday, Thursday, Friday 4-5 pm.
COURSE EXAMINATIONS:
Hour Exam Dates: September 26, October 26,
and November 21. Please note that the last of these is the
Monday before Thanksgiving. So do NOT book your flight
home early!
The FINAL EXAM for Section 01 is on Monday,
December 19, 2016 at 9:00 a.m. The FINAL EXAM for Section 02
is on Wednesday, December 14, 2016 at 9:00 a.m. These
dates and times are fixed by the registrar and may not be
changed. Important: You must take the final examination of the
section for which you are registered.
SOME MATH LINKS
1. Are you interested in summer research in
mathematics? The National Science Foundation sponsors
REUs---research experiences for undergraduates. For a list
of possibilities in the mathematical sciences, see here.
2. The American
Mathematical Society is the primary organization for researchers
in pure mathematics. Here is their webpage
for undergraduates,
listing many opportunities, information on careers, information on
graduate programs, etc.
3. The Mathematical Association of America is an
organization concerned with scholarship, teaching and learning in
mathematics. Here is their webpage
for undergraduates. It
includes setions on meetings, jobs and career options, summer
opportunties, and student chapters. They also put out a
magazine directed at undergraduates: Math
Horizons. The math
department has copies, so if you are interested in getting an
issue, please let me know.
4. The
Association for Women in Mathematics
supports women in mathematics at all levels of study. The "AWM
Resources" link connects you to many other sites with useful
information.
5. The Math
Forum Student Center has
math resources for students of all levels.
6. Are you interested in history? Here is a website concerned with the History of
Mathematics.
Copyright Solomon Friedberg, 2016. All rights reserved.
Last updated: December 7, 2016.