Multivariable Calculus, M408M,
Fall 2013, Unique #s: 56620, 56625, 56630
Professor: Lorenzo Sadun,
Teaching Assistant: Iordan Ganev,
Learning Assistant: Chelsie Mound
Learning Assistant: Gabriel Garcia-Cantu
Lectures: TuTh 9:30-11:00, CPE 2.208
Discussion sections by unique number:
56620: MW 8-9, RLM 5.116
56625: MW 1-2, RLM 5.120
56630: MW 3-4, RLM 5.118
Office: RLM 9.114
Sadun Office Hours: M10-11, W2-3, RLM 9.114
Iordan's Office Hours: M2-3, MW4-5, RLM 13.150
Chelsie's Office Hours: M,Th 3:30-6, Jester
Gabe's Office Hours: Tu3:30-6, F2-4, Jester
Text: Calculus, Early Transcendentals, 7th Edition,
Prerequisites: This class is restricted to students
who have passed M408S or M408L
with a grade of C-
or better. If you do not meet these conditions, you will be dropped
from the class.
One variable at a time: Calculus has a reputation of
being a hard class
that features a million different equations to be memorized. There are
a lot of formulas and techniques, but almost everything boils down to
six simple ideas, which I call the six pillars of calculus:
1. Close is good enough (limits)
M408K/N was mostly about the first three pillars, with a little bit about
and 5 at the end. M408L/S was about pillars 1, 4, and 5, with a little
bit about pillar 6 at the end. M408M is all about pillar 6.
in this course can be done by isolating one input variable and one output
variable and applying what you learning in the first two semesters of
There are three questions associated with every mathematical topic you
ever will see.
2. Track the changes (derivatives)
3. What goes up has to stop before is can come down (max/min)
4. The whole is the sum of the parts (integrals)
5. The whole change is the sum of the partial changes (fundamental theorem)
6. One variable at a time.
1. What is it? Most of high school
calculus is about "how do you compute it?"
This class will put a much greater emphasis on conceptual understanding
and applications than you're probably used to.
2. How do you
3. What is it good for?
There will be in-class midterm exams on September 26, October 29
and November 21.
Exams are closed book and calculators are not allowed. However,
you are allowed to bring an 8.5" x 11" crib sheet with
whatever you want written on it. Outlines, useful formulas, worked problems,
calming advice -- you name it. The only restriction is that the crib sheet
must be handwritten by you.
The final exam will be on Saturday evening, December 14, 7-10 PM.
The ground rules are the same as for the midterms, except that you are allowed
two crib sheets instead of one. Calculators are not allowed.
The homework and grading scheme are explained in the
First Day Handout
*Handouts and Other Course Information
First Day Handout
Written HW assignments
Quest server. That's where you
get learning modules and do the online portion of your homework.
Youtube channel with over 150 calculus videos, including all the videos
that appear in the Quest learning modules for M408M.
Center, a great source of (mostly) free help.
Practice first midterm from 2006, available
solutions. Note that the exam was given in early October and covers more
ground than our first midterm will.
Actual first midterm, available
Practice second midterm from 2006, available
solutions. Note that the exam was given in early November and covers a little
more ground than our second midterm will.
Actual second midterm, available
Actual third midterm, available
Practice final exam from 2006, available
Actual final exam from 2013, available