Math 221

ANALYTIC GEOMETRY AND CALCULUS II

Math 221, Fall 2009

CALC II WEB-PAGE: http://www.math.ksu.edu/math221/fall-2009

Course Coordinator: Andy Chermak, CW 211, chermak@math.ksu.edu

Help Academic Assistance Center Old Exams Practice Problems

Text, Calculator.
The text book is Calculus (6 th edition) by James Stewart; published by Thomson Corp. (2003), ISBN 0-495-13129-6. The book is a special edition for
K-State, so you probably DON'T want to buy it on the internet from amazon.com.

The book comes with free online access to a Student Solutions Manual. For login: userid is `calckansas', password is `kansascalc'.
No particular calculator is required, or, strictly speaking, even necessary. CALCULATORS WILL NOT BE PERMITTED ON EXAMS.

What Calculus II is about is, almost entirely, Integration and Applications of Integration. The applications are endless, and we'll just hit a few of them. In fact, the only real reason for the development of calculus, to begin with, is because of the way that integration lends itself to so many uses. Unfortunately, it seems to be a general rule in this world that everything has to be paid for in some way. This rule makes itself felt in calculus by making it much more difficult to integrate functions than it is to take their derivatives. This difficulty is not because humans aren't sufficiently clever, or haven't yet invented smart enough machines. It's intrinsic to the subject. That's why, in the second half of the course, we'll be studying ``sequences" and ``series", and using them to invent new sorts of functions -- in order to be able to solve integrals (and also for other reasons).

The course is in four parts:

1. Techniques of integration. (Or, using algebra, tricks of various kinds, and some intuition, to solve the very few, very basic integration problems that can be treated without inventing something really different.)

2. Applications (to computing volumes, lengths of curves, surface area of solids, the "center of gravity" of a planar region ...).

3. A brief introduction to "parametric equations" and "polar equations" -- in order to be able to work with planar curves beyond those that are graphs of functions y=f(x). Some of the applications mentioned above will be treated again here.

4. Sequences and series. This is what is usually regarded as the hard part of the course, but I don't see why. All we have to do is to forget some of what we think we know about functions (such as being able to get a hand calculator to compute its values), and start from scratch. Well, that means having to dig down with some basic ideas, and to then try to feel comfortable with what comes up. The challenge is in trying to understand the ideas (enough to apply them). The actual computational uses of the ideas are supposed to be very straightforward -- and I hope to show you that they are.

Doing well in the course.
See ``How to succeed in KSU Math courses" for tips, helpful or otherwise.

Grading.
Your recitation instructor will administer your exams and determine your final letter grade, based on exams, homework, and (possibly) quizzes given in recitation class. There are 100 points on each of the three hour exams, 200 points on the final exam, 100 points for homework, and as much as 50 points for whatever quizzes or extra credit problems your recitation teacher decides to spring on you. THE 100 HOMEWORK POINTS CAN BE VERY IMPORTANT towards your final grade, and the tendency is to give ALL (or almost all) of them to you, if you've been consistently doing your homework (and not doing a consistently poor job on it) .

Homework.
Homework is typically due Mondays, by 4 PM (unless the Monday is a university holiday -- and then the assignment will be due Tuesday, by 4 PM). The assignments and due dates are listed on the linked syllabus. Write your name and your recitation instructor's name at the top of the front page of any assignment, and use staples for multiple pages.. Place your homework in the box labeled with your recitation instructor's name and your recitation day and time. The box is next to the front doors of Cardwell Hall.

Exams. THE USE OF CALCULATORS WILL NOT BE PERMITTED ON THE EXAMS.

Hour exams will be held on Tuesday evenings: Sept.22, Oct. 20, and Nov. 17, from 7:10 p.m. to 8:20 p.m.

The final exam will be on Wednesday, Dec 16 from 6:20 to 8:10 p.m..

Room assignments for the exams will be announced, and they are different for the hourly exams and for the final. If you expect to miss an hour exam and have a reasonable excuse (for example, illness or University business), notify your recitation instructor as far in advance of the exam as possible.

Most (but not all) exam questions will be modifications of homework problems or examples from the lectures. Copies of old exams are available at the Reserve Desk in Hale Library and are available online at Old Exams .

There are also online practice problems to work at Practice Problems

Academic Dishonesty.
Plagiarism and cheating are serious offenses and may be punished by expulsion from the University. For more information, refer to the academic dishonesty policy in the University handbook.

Help.
Your recitation instructor will announce office hours during which you may seek help. In addition you may attend the department of mathematics help sessions. A help session schedule will be posted on the main bulletin board across from the Mathematics Office (CW 138). Several instructors will be there to help you. Tutors for Calculus can be located through the Mathematics Department or through numerous service organizations on campus. Free tutoring in small groups is available in Leasure 201 through the academic assistance center. It is also available in the Derby and Kramer Dining Halls.

If you have any condition, such as a physical or learning disability, which will make it difficult for you to carry out the work as I have outlined it or which will require academic accommodations, please notify me in the first two weeks of classes.

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