MATH 2210, Integral Calculus
 
 
12:20pm,MWF, 323 Boyd FALL 2006. 
Book: Calculus, Edwards - Penney, 6th ed. (early transcendentals)
Instructor: Roy Smith, 448 Boyd, Office 11:10-12:10 MWF, or appt; 
(706)542-2595; email: roy@math.uga.edu, rcsmith97@comcast.net
I will use email to send information about the course, so check it daily.
 
Prerequisite: Math 2200 or equivalent (diff. calc.)
(first 4 chapters of EP): You must have the knowledge taught in 2200, not just a passing grade from there.
Course Objectives: acquire a fundamental working knowledge of the ideas and uses of one variable integral calculus, including definitions, computations, theorems and proofs, of the Riemann integral and its application to practical problems such as finding area, volume, arc length, force and work, and differential equations governing exponential growth. 
We cover chapters 5,6,7,8 of E-P. You are responsible for reading these, even if not lectured on, and keeping up with the current lecture topic.
 
Tests (tentative I: Fri 9/8, II: Mon 10/2, III: Wed 10/25, IV: Mon 11/20.
Final Exam: Wed, Dec 13, 2006, 12noon - 3:00 pm (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 of the test. 
The number of tests, and test dates are tentative and may change, so it is unwise to plan to miss class, especially near a scheduled test date.
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 given by the formula: 15% HW & quizzes + 60% Test Average + 25% FINAL EXAM.
Letter grades (normally): 90-100=A; 80-89=B; 70-79=C; 60-69=D; 0-59=F. 
Attendance is Required. 5 absences and you may be dropped (with a WF if failing or if after midpoint 10/4/06. Homework and test problem solutions should be written up clearly legibly in complete sentences, explaining your reasoning (not just calculations) for full credit. I will not grade what I cannot read, and I will not use a magnifying glass. 
 
Academic Honesty: In all work for credit, do your own research, thinking, computations and writeup. You may ÒbrainstormÓ with others during problem assignments and you should. Notes, books, and calculators are normally not allowed on tests. Read the University policy at http://www.uga.edu/ovpi/honesty/culture_honesty.htm
NOTE: This syllabus provides a general plan for the course; deviations may be necessary.
 
EXPECTATIONS AND ADVICE: 
1) LEARN THE BASIC INFORMATION.
This means studying the book and the lectures until you know and understand all the definitions, theorems, formulas and procedures.
This involves both memorizing and understanding. 
Thus you should be able to rattle off from memory the definition of limit, derivative, continuous function, equation for a tangent line, max, min, partition, upper and lower sum, Riemann sum, Riemann integral; statement of product, quotient and chain rules for derivatives, trig identities, derivatives 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, etc... with perfect accuracy. Then you should be able to explain clearly and correctly what each of these things means. 
 
2) DEVELOP COMPUTATIONAL POWER.
Learn to solve problems and to make detailed and accurate calculations. This can only be done by working large numbers of problems, not just the few that are to be handed in. Spend as much time as you need to learn to work as many problems in the book as possible. 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 of the main benefits of a mathematics course is learning to make logical arguments. (This can help in arguing with a judge, the IRS, or your boss.) It means knowing why the procedures actually work, and understanding how to use the ideas of the course to solve problems which we have not explicitly treated in the lectures. It also means learning to make a clear statement and prove it. Practice by understanding my proofs and the bookÕs, and attempt some ÒproveÓ or ÒshowÓ problems.
 
4) ASK QUESTIONS. Get any troublesome points explained well before the test on that topic. (I am never available for help on the day of a test.) If you cannot meet my office hours, email me with questions, (at both my addresses to be sure to reach me). This works very well since I will answer it from home 7 days a week.
I will test on your understanding of each topic, not just your ability to repeat things exactly like ones shown on 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, using words in complete sentences. 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.