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Math
220 DD8
Calculus I
Fall 2008
Lecture MWF 11-11:50 AM, 314 Altgeld Hall
Workshop MWF 9-10:50 AM, 173 Altgeld Hall
Workshop TA: Mike Barrus
E-mail:
Phone: (217) 265-5431 (Please try this only in
urgent circumstances; e-mail is much more reliable.)
My office:
B1A Coble Hall
Office hours: Mondays, 3-4:30 PM; Thursdays,
9-10 AM; and by appointment. (Please feel free to contact me to set one
up.)
Special office hours during finals week:
Thursday
(12/11), Monday (12/15), 1-3 PM, and Wednesday (12/17), at 3-5 PM (note the change) in our Merit
classroom (173 Altgeld Hall).
The course website: http://www.math.uiuc.edu/~kwhittle/math220.
Visit it often to check for announcements, review course policies, and
see what topics will be covered. Note that any class activities on the
website scheduled to happen on Tuesday or Thursday will happen in our
Merit section on Wednesday or Friday, respectively.
Review for the final
There will not be a mock final exam. However, in order to give you some
extra practice, I'll post some links here to past exams and practice
exams that I've written in past semesters.
- Practice exams for the five midterms I gave my 220 class in Fall 2007 (yes, five midterms--it was part of the Unit One program in Allen Hall, and things run a bit differently there): First (solutions), second (solutions), third (solutions), fourth (solutions), fifth (solutions).
- The actual exams for four of the Fall 2007 midterms and the final: First, second, fourth, fifth, and final.
- Practice exam for Midterm 4 for Fall 2006.
We were using a different text at the time, and the professor
emphasized some things differently, so there are a few questions on
this one you might have trouble with, and that's okay. Email me with
questions.
In addition, I'd recommend that you go over past
worksheets. If you're bored or hungry for still more practice, try
visiting the course webpages listed at the left for Fall 2006 and Fall
2007; in addition to the things I've linked to above, there are a
number of worksheets and handouts available. Good luck as you study!
Merit worksheets
- Worksheet
#1, 8/27/08 (definitions, absolute value, equations of lines).
- Worksheet
#2, 8/29/08 (inverses, trig functions).
- Worksheet
#3, 9/3/08 (trig and inverse trig functions, function
compositions, secant lines).
- Worksheet
#4, 9/5/08 (average and instantaneous velocities).
- Worksheet
#5, 9/8/08 (finding derivatives "the long way," sketching
derivatives).
- Worksheet
#6, 9/10/08 (limits).
- Worksheet
#7, 9/12/08 (limit rules, finding limits).
- Worksheet
#8, 9/15/08 (more on limits, continuity).
- Worksheet
#9, 9/17/08 (ungraded quiz, asymptotes, and continuity).
- Worksheet
#10, 9/19/08 (midterm review).
- Worksheet
#11, 9/22/08 (formal definition of the limit).
- Worksheet
#12, 9/24/08 (formal definition of the limit, again).
- Worksheet
#13, 9/26/08 (the power rule).
- Worksheet
#14, 9/29/08 (the product rule and quotient rule).
- Worksheet
#15, 10/1/08 (the chain rule).
- Worksheet
#16, 10/3/08 (derivatives of trig functions).
- Worksheet
#17, 10/6/08 (derivatives of trig and exponential functions).
- Worksheet
#18, 10/8/08 (derivatives of logs, logarithmic
differentiation).
- Worksheet
#19, 10/10/08 (implicit differentiation, the Mean Value
Theorem).
- Worksheet
#20, 10/13/08 (linear approximations and Newton's method).
- Worksheet
#21, 10/15/08 (Newton's method).
- Worksheet
#22, 10/17/08 (midterm review).
- Worksheet
#23, 10/20/08 (l'Hospital's rule).
- Worksheet
#24, 10/22/08 (l'Hospital's rule, local extrema).
- Worksheet
#25, 10/24/08 (local extrema).
- Worksheet
#26, 10/27/08 (increasing/decreasing functions).
- Worksheet
#27, 10/29/08 (the second derivative, curve sketching).
- Worksheet
#28, 10/31/08 (curve sketching).
- Worksheet
#29, 11/3/08 (optimization).
- Worksheet
#30, 11/5/08 (optimization and related rates).
- Worksheet
#31, 11/7/08 (related rates).
- Worksheet
#32, 11/10/08 (related rates, summations).
- Worksheet
#33, 11/12/08 (Riemann sums, test review).
- Worksheet
#34, 11/14/08 (test review).
- Worksheet
#35, 11/17/08 (antiderivatives, Fundamental Theorem of
Calculus).
- Worksheet
#36, 11/19/08 (Fundamental Theorem of Calculus).
- Worksheet
#37, 11/21/08 (antiderivatives, Fundamental Theorem of
Calculus, substitution).
- Worksheet
#38, 12/1/08 (substitution).
- Worksheet
#39, 12/3/08 (numerical integration, area between two curves,
volume by slicing).
- Worksheet
#40, 12/5/08 (volume by slicing, solids of revolution).
- Worksheet
#41, 12/8/08 (volume by slicing, solids of revolution, arc
length).
- Worksheet
#42, 12/10/08 (arc length, review).
Other handouts
Online resources
Here I will post links to the online applets and other
resources that I
mention in the worksheets. Each link is listed next to the date of the
worksheet in which it was described.
Last
modified December 15, 2008.
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