Emerging Scholars Program
Fall 2006

Course Information

Lecture with Professor Durbin:
  MWF 11-12 CPE 2.206
Discussion with Eric, Brad, and Domingo:
  TTh 2-3:30 WEL 3.260 [59722]
  TTh 3:30-5 GEA 127 [59723]
(Click on the unique number for the first-day handout, which includes a description of the course and the requirements for course credit.)

Exam Reviews (added 8 Sept 2006)

Everyone should be in an exam review group. Each group is responsible for making a review packet on the topics to be covered on that exam, and this is due to me in Professor Durbin's lecture one week before the exam. I will scan the packet and make it available online shortly after I receive it. In addition to this, the group will also present a short review session during the ESP section meeting just prior to the exam, whenever that happens to fall. I will provide a practice test before every exam as well. (Note: sometimes the practice test will be included in a worksheet.)

Here is an example of a review packet: [review of content] [practice problems]

Exam I review packets: [2-3:30pm section] [3:30-5pm section]

Practice Exam I: [pdf]

Exam II review packets: [2-3:30pm section] [3:30-5pm section]

Exam III review packets: [2-3:30pm section] [3:30-5pm section]

Exam IV review packets: [2-3:30pm section] [3:30-5pm section]

Worksheets

Some of the problems are my own, but I will try to indicate those which I have adapted from other sources by an asterisk "*" below. You may reuse these problems if you wish, but if you do, please send me an email to let me know.

31 Aug 2006
tex dvi ps pdf
trig/limits review, L'Hospital's rule, hyperbolic functions, 1000 bottles* (+Saved By the Bell: The College Years)
5 Sept 2006
tex dvi ps pdf
Improper integrals, Gamma function*, preview of p-test, "students standing in a circle" problem*
7 Sept 2006
tex dvi ps pdf
Sequences*, Squeeze theorem, Gamma function* (take 2), snowflake curve*, incompleteness of the rationals
12 Sept 2006
tex dvi ps pdf
Properties of sequences*, series*, geometric series*, p-test, area of snowflake curve*
14 Sept 2006
tex dvi ps pdf
limit/direct comparison tests*, integral test*, stack of books*
19 Sept 2006
tex dvi ps pdf
ratio/root tests*, power series*, rotational symmetry problem*
21 Sept 2006
tex dvi ps pdf
cosh/sinh, inductive sequences*, series involving unknowns, turning infinite sums into infinite products*, Riemann-zeta function*
26 Sept 2006
pbs
viewing of NOVA: The Proof
28 Sept 2006
tex dvi ps pdf
power series*, Taylor series*, Maclaurin series*
3 Oct 2006
tex dvi ps pdf
power series*, Taylor's theorem*, binomial series*, dot product*, methane problem*, perpendicular mirrors problem*
5 Oct 2006
tex dvi ps pdf fig
determinants and cross products, methane problem*, tetrahedron problem*
10 Oct 2006
tex dvi ps pdf fig
lines, planes (both air* and flat), and surfaces; boats*; sports
12 Oct 2006
tex dvi ps pdf fig
vector review*, polar coordinates, cylindrical/spherical coordinates, gymnastics problem
17 Oct 2006
tex dvi ps pdf ans
exam review* (answers), Fibonacci numbers*, surface sketching
19 Oct 2006
eames simpsons
viewing of Powers of 10 (by Charles and Ray Eames)
24 Oct 2006
tex dvi ps pdf mov
limits of vector-valued functions*, graphs of parametric/polar functions*, Witch of Agnesi*, cow tied to a silo problem*
26 Oct 2006
tex dvi ps pdf
graphs of functions of several variables*, tangents to vector-valued functions*, Scorched Earth problem*
31 Oct 2006
tex dvi ps pdf
exam III practice problems*, PV=mRT problem*, electrical resistance problem*, sharks following blood problem*
2 Nov 2006
tex dvi ps pdf
tangent planes*, differentials*, resistors*, chain rule*
7 Nov 2006
tex dvi ps pdf ans
Jeopardy! Congratulations to Teams "Numero Uno" and "Mushroom Wiles" for impressive victories!
9 Nov 2006
tex dvi ps pdf
exam III review (old exam problems)*
14 Nov 2006
{Proof}
16 Nov 2006
Make Your Own Worksheet (double integrals)
21 Nov 2006
tex dvi ps pdf
local min/max/saddles*, double integrals*, changing order of integration*, The Basel problem*
28 Nov 2006
tex dvi ps pdf
applications of double integrals* (electric charge, center of mass, surface area), old exam IV problems*, gravitation of infinite thin plate problem*
30 Nov 2006
tex dvi ps pdf
triple integrals*, volume of hyperspheres*
5 Dec 2006
magic tricks, math jokes, toothpick puzzles
7 Dec 2006
tex dvi ps pdf ans
Final Exam Jeopardy! (categories: Seriously Series; Planes, Lines, and Automo-surfaces; Maxxors and Minzors; Whoop a Double Integral; Aggies Don't Know How To...; Chain Ruse II: Return of the Ruse; Make the Gradient; Kick a Triple Integral; Personal Facts; Chuck Norris will Roundhouse you in the Face)

Congrats to team Cobras and team JRD for great wins over Numero Uno, Sea Cucumbers, Sweatersylvania, and Pretty Pretty Ponies!


Copyright 2006 Eric Katerman