Math 2260 Fall 2008
A general description follows. (Scroll down for occasional supplementary notes)
MATH 2260, FALL 2008,
Integral Calculus,12:20 MWF, 2:30M, 222 Boyd,
Book: Hass, Weir, Thomas,
University Calculus, chapters 5,6,7,8,10.
Instructor: Roy Smith,
448 Boyd, Office 11:10-12:10 MWF, or appt; (706)542-2595; emails: roy@math.uga.edu, rcsmith99@gmail.com (To
email me use both.) I use email to send information about the course, so check
yours daily.
Prerequisite: Math 2250 or equivalent (first 5 chapters of HWT).
Course Objectives: Understand theory and application of Riemann
integrals,
infinite series,
separable differential equations, and vector geometry,
including finding
plane and surface areas, volumes, arc length, force and work,
sums of series, Taylor
series for familiar functions. You are responsible for reading the relevant
chapters, even if not lectured on, and keeping up with the lectures.
WEBWORK:
There will be regular
problem sets on webwork. https://webwork.math.uga.edu/webwork2/
You will log in there
using your uga email name and (initially) your 810 number, in the format
810-xx-xxxx. Note this differs
from the format as it is sometimes presented.
TESTS:
There will 3 Tests,
web based homework, and a final exam.
Test 1: Sept. 15,
2008; Test 2: Oct 13, 2008; Test 3: Nov. 21, 2008
Final Exam:
12/15, noon-3pm, in our room. (check this on the web)
IMPORTANT: The final
cannot be moved. No makeups of
missed tests. If you have a valid
medical reason that you cannot attend a test, or if you are on a varsity team
and must be out of town, tell me IN ADVANCE. The dates of tests may change, so it is unwise to miss
class, especially near a scheduled test. Check NOW for possible exam conflicts
in your courses at http://www.reg.uga.edu/or.nsf/html/Fall_Exam_Schedule
GRADING FORMULA: Your grade will not be lower than:
15% HW & quizzes +
60% Test Average + 25% FINAL EXAM.
0-59F, 60-69D,
70-72C-, 73-76C, 77-79C+, 80-82B-, 83-86B, 87-89B+, 90-92A-, 93-100A
Attendance is
required. Excessive absence can result in a WP or WF. Write legibly, explaining your notation and reasoning (not
just calculations) for full credit.
If you withdraw, do so formally, do not just stop coming and expect me
to do it for you.
Academic Honesty: In all work for credit, do your own research,
thinking, computations and writeup. You may brainstorm with others on problem
assignments and you should. Notes,
books, and calculators are not allowed on tests. Read the University honesty policy on the web.
This syllabus provides
a general plan for the course; deviations may be necessary.
EXPECTATIONS AND ADVICE:
1) LEARN THE BASIC
INFORMATION THOROUGHLY.
Study book and
lectures until you know and understand all definitions, theorems, formulas and
procedures. This involves
memorizing and understanding. Know
the definition of derivative, continuity, equation for tangent line, max, min,
Riemann sum, Riemann integral; statement of product, quotient, chain rule, trig
identities, derivatives and antiderivatives of elementary functions, inverse
function rule, properties of logs, exponentials, intermediate value theorem,
mean value theorem, fundamental theorem of calculus, substitution rule,
integration by parts, convergence rules for sequences and series, meaning and
formulas for dot and cross products, equations for lines and planes etc... with perfect accuracy. Then explain what each of these things
means. Read the book, attend all
classes, and review your lecture notes daily.
2) DEVELOP
COMPUTATIONAL POWER.
Learn to solve
problems and to make detailed and accurate calculations. This can be done only by working large
numbers of problems, not just the few that are assigned. I will frequently choose problems from
the book, or similar ones, to put on tests. Study the worked out examples, attempting them yourself
first.
3) PRACTICE LOGICAL
REASONING.
One benefit of a
mathematics course is learning to make convincing arguments. Know and be able to explain why the
procedures work, and to use ideas from the course to solve problems we have not
treated in the lectures. Learn to
make a clear statement and prove it.
Practice understanding my proofs and the bookÕs, and attempt some prove
or show problems.
4) ASK QUESTIONS.
Get troublesome points
explained well before the test. (I
am never available for help on the day of a test.) If you cannot meet office
hours, email me, at both addresses.
I usually answer 7 days a week.
I will test understanding, not just your ability to repeat things from
the board. You must be able to
state general principles correctly, apply them to old and new situations, and
write up your solutions in understandable, correct form. Keep up, and study for the final, since
people who do not do well earlier, or who do not restudy for the final, do not
do well on the final.
Remember: Read & work problems, attend class & review
notes, ask questions.
Supplementary
notes:
Notes on logarithmic
and exponential functions: