Welcome to the home page
for Section ES31 of MATH-2080 (Calculus 3)
at Southeast Community College
in the Spring term of 2016.
I am Toby Bartels, the instructor.
Here is material about the administration of the course:
If you miss an assignment, then you can find it here.
Most graded work is done in class;
although it can be made up outside of class, regular attendance is important.
The official textbook for the course
is the 2nd Edition of University Calculus: Early Transcendentals
by Hass et al published by Addison Wesley (Pearson).
You should be able to get this at the bookstore,
and most homework problems will come from it.
(Both MATH-1600 and MATH-1700
are using a different edition this term,
so don't buy that one!)
If you pay for it, you can also use MyMathLab
integrated into the Moodle course;
this is optional.
I'll also have some lecture notes, hand-outs, links, and so forth.
If you miss class, then you should be able to find those here.
- Tutoring schedule.
with integrated MyMathLab
(handed out on March 30 Wednesday, covering §§11.2–11.4).
- Operations in vector algebra
(from March 30 Wednesday, supplementing §§11.2–11.4).
- Point- and vector-valued functions
(from March 31 Thursday, supplementing §§12.1&12.2).
(from April 5 Tuesday, supplementing §12.3).
- The hierarchy of functions and relations
(from April 7 Thursday, supplementing §13.1).
- Definitions for functions of several variables
(handed out on April 11 Monday,
- Differential 1-forms
(handed out on April 12 Tuesday).
(handed out on January 21 Thursday,
- Differentials, gradients, and partial derivatives
(from April 18 Monday, supplementing §13.5).
- Tangents and normal lines,
(from April 19 Tuesday, supplementing §§13.5&13.6).
- Taylor's Theorem in several variables
(handed out on April 21 Thursday, supplementing §13.6).
(from April 25 Monday, supplementing §§13.7&13.8).
- Lagrange multipliers
(from April 26 Tuesday, supplementing §13.8).
- Integration on curves
(handed out on April 28 Thursday, covering §§15.1&15.2).
- The Fundamental Theorem of Calculus
(handed out on May 3 Tuesday, covering §15.3).
- Fubini theorems
(from May 9 Monday,
supplementing §§14.1&14.2 and §14.5).
- Change of variables in multiple integrals
(handed out on May 16 Monday, supplementing §14.8).
- The wedge product
(handed out on May 23 Monday,
- The Stokes theorems
(handed out on May 26 Thursday,
supplementing §15.4 and §§15.7&15.8).
This web page and the files linked from it
were written between 2003 and 2016 by Toby Bartels,
last edited on 2016 May 31.
Toby reserves no legal rights to them.
The permanent URI of this web page