Spring, 2002

Monday & Friday 9:00-9:50 a.m.

Tuesday & Thursday 9:30-10:20 a.m.

Buttrick G-25

Office Hours: Mondays, 10:00-11:00, Tuesdays, 10:30-11:00, and Thursdays, 10:30-11:00. If your schedule does not permit you to come at these times, we can set up an appointment.

The purpose of these hours is to provide you with times where you can stop by and ask questions. Please do not hesitate to use them: one-on-one interaction is often the best way to learn stuff.

Learning Support. Our Learning Support coordinator, Ms. Schwarzlose, together with student learning assistants will be able to provide help throughout the week. More details will be provided. You are encouraged to use this service, and should think of it as part of your weekly mathematics regimen.

Course Content. Chapters 6-10. Topics include techniques of integration, applications of integration, infinite series, power series, and differential equations.

"Calculus II? But I hate sequels!" So what is this course all about anyway? There are four major topics for this semester. The first two are primarily integration, the last two differentiation.

1. In Calculus I you learned about the integral, but quickly learned that it is often not an easy thing to compute, since finding an antiderivative can be much trickier than finding a derivative. The first part of the course deals with techniques of integration, both analytically (by hand) and numerically (calculator/computer).
2. After the first part of the course is completed you think "Gee, what a lot of work to find the area under a curve." We then deal with other applications of the integral, so you can be rest assured that all your hard work actually does give something worthwhile.
3. Shifting gears a bit, we look at power series. Loosely speaking, a power series is an "infinite polynomial" often equal to a non-algebraic function, e.g. sin x. This power series will enable us to approximate any differentiable function with a polynomial. The more derivatives we can take, the better the approximation will be.
4. Finally, we revisit differential equations. While mentioned briefly in 6.3, there is a very rich treatment in chapter 10. Starting with simple differential equations such as y’=ky, we look at how DEs occur naturally in many applications.

What good is Calculus II? We will encounter applications of Calculus II to many fields, including

Course Goals. By the end of the semester, you should:

• Be able to read mathematics.
• Be able to write mathematics.
• Develop an appreciation for the numerous applications of calculus to the various sciences as well as to other branches of mathematics.

Attendance. You are expected to attend every class. Missing class days does not have a direct impact on your grade, however it will have an indirect impact on your grade. Trust me. Also, you will not be penalized directly for tardiness, however you are expected to arrive to each class on time, and assignments are due in class at the start of the class.

ecademy.agnesscott.edu. A web page has been set up for this course. The easiest way to get there is to go to http://ecademy.agnesscott.edu/~akoch and follow the link to Math 119. Here you will find all the handouts for the course. Most will be .pdf files, so make sure the computer you’re using has Adobe Acrobat installed.

Here’s how you’ll be graded…

Homework. Each night, there will be homework problems assigned from the sections covered during the lecture. They will consist (primarily) of odd problems from the book, so you can check your answers in the back. This homework will not be collected, but it is assumed that it will be completed by the start of the next class. You are encouraged to work with other people in the class to solve problems. (You won’t be graded on this, but it seemed like a good place to put this info.)

Assignments. There will, however, be five assignments that will be turned in. These assignments are designed to help you keep up with the material. As a word of warning, the assignments do not fully cover the scope of the class, and you should not use them as a substitute for daily homework assignments. Assignments are due by the start of class on the day indicated at the top of the problem set. Late assignments will not be accepted.

You are encouraged to discuss these assignments with the others in the class, but your write-up must be your own. If you have any question about this policy, please let me know.

Exams. You will have three take-home exams. They will (tentatively) be handed out on Tuesday, February 12; Monday, March 25; and Thursday, April 18. They are all timed exams that you will take at a time convenient to you. They are due on February 15, March 28 and April 23 respectively.

For the take-home exams, you use your calculator, a pencil, and the exam. You are forbidden from using your textbook or your notes or any other sources (including people, of course). Again, all exams must be pledged.

The exams will cover material from the text, along with material presented in class. You will not be allowed to make-up an exam without a doctor’s note.

Gateway Test. All Calculus II students will be expected to pass an "integration gateway test". This test will have integration problems (chapter 7 stuff) and you must get each problem correct in order to pass. You may re-take the test as often as needed until you pass it, but of course the sooner you pass it the less you’ll have to take it J . You should have all the material you need to start taking the test on February 1, and the deadline to pass it is 9 am March 1. This test is 5% of your final grade, and no partial credit will be given. Unlike your other tests, the Gateway Test is given on-line. Documentation on how this is done will follow (but will look very familiar if you took the Gateway Test in Calculus I). Please note that, like many computer systems, the server occasionally goes down for short periods of time. This does not effect the deadline for completion, so don’t wait until the last moment, no matter how confident you are of passing!

Participation. You will be graded on participation for this course. Factors that will be used in computation of "participation" include both the asking and answering of questions in class.

Final Exam. The final exam is cumulative, although there will be more the materials since Exam #3 for obvious reasons. It will be self-scheduled, like most of the exams at Agnes Scott. The same rules apply as to the take-home exam: you can use your calculator, pencil, and the exam.

Honor Code. All students are expected to follow the honor code throughout the semester. Any graded work, be it an assignment, exam, or project, must be pledged (and signed) in order for it to be graded. Please consult the student handbook for more details.

You should not expect a curve to be applied to the point scale, although plusses and minuses will be added as appropriate. Please note that the plusses and minuses are cosmetic: they appear on your transcript, but do not affect your GPA.

Note: Intervals represent odd problems unless otherwise specified.