MULTIVARIABLE CALCULUS
MATH 2202   Sections 01 and 02

Fall Semester 2016

Instructor: Prof. Solomon Friedberg

Teaching Assistant: Mr. Clayton McDonald

## Homework Assignments

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 $\frac\left\{dy\right\}\left\{dx\right\}?$
• 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\left(b\right)-f\left(a\right)=\int_a^b f\text{'}\left(x\right)\,dx \,\,.$$f\left(b\right)-f\left(a\right)=\int_a^b f\text{'}\left(x\right)\,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.

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.