Syllabus for Math 1210 Calculus, section 3
Class time: M, T, W, F from 9:40am{ 10:30am in JWB 335.
Text: The text is Calculus (8th Edition) by Varberg, Purcell and Rigdon.
Instructor: Alastair Craw.
{ email craw@math.utah.edu
{ oÆce JWB 124.
{ phone 581-4278.
Course website: www.math.utah.edu/craw/math1210
Prerequisites: A working knowledge of college algebra (functions and graphs; ex
ponential and logarithm functions; systems of linear equations and matrices, arithmetic and geometric sequences) and trigonometry (denitions of trigonometric functions, trigonometric identities, plane conics).
Extremely tentative schedule
This is a 4 credit class. The Tuesday lecture is left for discussion of problems,
though I reserve the right to lecture on a Tuesday if I'm a little behind schedule.
Jan 4-11
Polynomial calculus
see notes
Jan 14-18
Introduction to dierentiation
x3.1-3.3
Jan 21-25
Dierentiation and Integration of trig functions
x2.3,3.4
Jan 28-Feb 1
Leibnitz notation, dierentials, chain rule
x3.6,3.10
Feb 27-Mar 1
Chain rule and higher order derivatives
x3.5,3.7
Mar 4-8
Implicit di, related rates and mean value th'm x3.8,3.9,4.8
Mar 8-15
Critical points, concavity and max-min
x4.1-4.4
Mar 18-25
Limits at innity, graph drawing
x4.6-4.7
Mar 27-29
Antidierentiation and sigma notation
x5.1-5.3
Apr 1-5
Denite integrals and the fundamental theorem
x5.4-5.7
Apr 8-10
Evalulation of denite integrals
x5.8
Apr 12-19
Areas of regions and volumes of solids
x6.1-6.3
Apr 22-26
Arc length, work, centre of mass
x6.4-6.6
Each week of the semester (including the Olympic break) there is a `Webwork'
homework assignment which you complete online, due each Wednesday at noon.
The rst assignment is due at noon on Wednesday January 16th.
In addition, there are three exams this semester, on
,
and
. The fully comprehensive
nal exam takes place on
.
Wednesday Jan 30th
Wednesday March 20th Wednesday April 10th
Monday May 6th at 8:00am
1
Grading System
To assign grades at the end of the course I weight the grades you receive throughout
the semester as follows:
Webworks (20%) + best 2 midterms (20% each) + nal (40%).
Midterm exams will be similar to the problems discussed in Tuesday lectures. Notice
that you may drop your lowest midterm score. For this reason, I do not give make-up
exams1 .
Nasty bugbears: graphing calculators and mobile phones
I strongly urge you not to use a calculator. In my experience, people learn less and
make more mistakes if they have a graphing calculator. Please switch o cellphones
before coming to class. Any phone noise during class time will be ned $10, the
money will go to The Red Cross.
Homework policy and help
At the end of each lecture I will assign 10 to 20 homework problems. You should
do these before the next lecture. You should feel free to work in groups. You learn
a great deal by discussing maths with other people. If you are stuck then:
1. First, always ask a friend in the class. I strongly recommend that you discuss
problems with other students in this class.
2. The Mathematics Tutoring Centre, located in Mines 210, will be open from
8:00am - 8:00pm Monday through Thursday, and 8:00am - 2:00pm Friday. For
more details see
http://www.math.utah.edu/ugrad/mathcenter.html
3. You may also ask me for help. My oÆce hours will probably be 12:30-1:30pm
on Mondays and Fridays.
You have rights.....
To discover what the mathematics department expects of me, as a lecturer, see
http://www.math.utah.edu/a/schedule/procedures/
At the end of the semester you will be asked to ll out a form evaluating my
performance as a lecturer. If you have questions, problems or grievances during the
semester, don't hesitate to contact me. It does no good to let problems lie until it's
too late!
1 There
is an exception for University athletes. Please give me your letter (today!) stating that
you will be competing for the University.
2