Math 2413
Calculus I 
invitationonly section, 14862
Fall 2021
If you have received an
invitation to this section and would like more
information about it, please see the
material below, or email me.
Instructor: Vaughn Climenhaga
 Email: climenha [at] math.uh.edu
TA: Jason Day (jjday [at]
cougarnet.uh.edu)
Course information:
 Lectures: MWF 99:50am, S 119
 Labs: MWF 1010:50am, S 119
 Textbook: James Stewart,
"Calculus: Early Transcendentals", 8th edition
 Supplementary text: Michael
Spivak, "Calculus"
In this course we will study differential and
integral calculus, including continuity, limits,
derivatives, optimization, intermediate and extreme
value theorems, Riemann sums, integration, the
fundamental theorem of calculus, areas, and
volumes. A strong emphasis will be placed on
conceptual and intuitive understanding, on clear and
precise definitions and theoretical notions, and on
the central role that calculus plays in the
scientific world.
If
you received an invitation to join this class, you
might be wondering whether you should enroll in
this section or in the main calculus course. If
you received an invitation and already have AP
calculus credit that would let you proceed
directly to a later calculus course, you may be
wondering whether it is worth taking this course
and revisiting material you have already seen. I
hope the following information is useful as you
make your decision.
FAQ
about the invitationonly section
As the FAQ document indicates, this section includes
a deeper theoretical treatment and a broader view of
applications compared to the main sections. To get a
better feel of what that means, the following two
videos illustrate the kind of discussion that will
occur in this course, but probably not in the main
sections or in an AP class. (You may need to sign in
using your UH account to view the videos; please
email me if you have trouble.)
Defining the sine function (40 minute video,
theory)  notes
Calculus
and rainbows (43 minute video, application) 
notes
The majority of the course will consist of the same
topics as those that appear in the main sections,
but I hope that those videos give you some sense of
how this section goes beyond what you would find
there. When I began my own undergraduate studies, I
had already taken calculus in high school and had
the option of using that credit to skip over the
first semester of calculus; nevertheless, I was
persuaded to enroll in a special section that
covered the material I had already seen, but from a
deeper and more advanced point of view. That proved
to be one of the formative experiences of my
mathematical career and serves as some of the
inspiration for my own teaching in this course. If
you have been invited to enroll in this section, and
if it appears to be a good fit based on the
information above, then I hope that you will join me
on the journey this semester.
Finally, if you want to really see what we did the
last time I taught this course, you can have a look
at my typed lecture notes for Calculus
1 and Calculus
2. Note that those are somewhat rough and
unpolished, and certainly contain errors, which I
will hopefully find and correct as I produce a more
refined version this year.


Homework assignments
See course page on BlackBoard
for HW assignments and solutions
