Math132 Calculus II Spring 2006
Daily
Syllabus Peter Greim's home
page MACS home page Registrar's
page Citadel home page
Class Mo, Tu, We, Fr 1:00-1:50 TH 203
P. Greim, Thompson 329,
Tel. 9535035, Email: peter.greim@citadel.edu
http://macs.citadel.edu/~greimp
Office hours are posted at my door and at my class schedule web page. You can read it as long as you are using a Citadel terminal. The class schedule will give you an idea which times might be available if you need to make an appointment.
Text:
Calculus
(update), 2nd Edition
by R.T. Smith and R.B. Minton
McGraw-Hill
McGraw-Hill has a confusing array of ISBN numbers for this text, depending on how it’s packaged and also whom at McGraw-Hill you ask or how out of date the web page is you happen to come across. Try, for example to follow the links on http://www.mhhe.com/catalogs/calc-1491.mhtml. I recommend to buy the text with CD (ISBN 0-07-285924-5 in the book store), because it is convenient to have the whole book in html-format-- but the CD is not required.
Covered material: Chapters 5 - 9
Goals and expectations
1. Reinforce the concept of integration as approximation by finite sums -- through the study of applications, such as curve length, surface area and volume of solids of revolution, work done by variable forces, center of mass. The student is expected to know the limitations of the corresponding formulas and to interpret and apply them correctly in concrete problems. Ideally, the student will be able to develop integration formulas in simple new situations.
2. Introduce the student to some of the main techniques of integration (such as substitution, integration by parts, decomposition into partial fractions) and enable the student to find antiderivatives using these techniques, integral tables, and symbolic calculators or computer algebra systems.
3. Familiarize the student with numerical integration methods. The student should be able to set up midpoint, trapezoid and Simpson formulas for any given function, use calculator and PC software to evaluate these approximations, and to determine the step size for a desired degree of a accuracy (assuming reasonably simple higher derivatives).
4. Introduce the student to
the concepts of approximation and of convergence of sequences. The student
should be able
- to compute Taylor series of
functions,
- to perform error estimates
for series approximations (including Taylor series),
- to apply power series
techniques (e.g., to numerical integration or to the computation of numerical
series).
5. Introduce the student to the notion and calculus of motion in the plane, parameterized curves, curves in polar coordinates, and conic sections. The student should be able to distinguish between intersection and collision, plot simple curves with given polar and/or parametric equations, find equations for given graphs, and classify conic sections.
Calculators
You will need to be familiar with your own graphing calculator. I am going to use a TI83Plus or 84 or a TI89, but any other will do. Check with your department if they require a specific calculator for their courses. For some questions on tests I will not permit the use of graphing calculators. If you have a calculator with built-in computer algebra system (HP48gII, HP49g+, TI89, TI92), I encourage you to use it. However, because of their powerful symbolic capabilities their use on tests will be restricted - I'll provide some other means for numerical computations during the test, if you ask me in advance. See also Prof. Trautman’s technology page.
Grades
are based on the final, 4 tests, and homework assignments and quizzes. Each test counts 100 points; homework and quizzes count 200 points together, for a total of 600. The final exam counts 200 points. You'll receive 0.5, resp. 1.25 percentage points extra credit on your pre-final score for each correctly solved problem of the week or problem of the month. (See Prof. Trautman's webpage http://155.225.48.46/potw/potw.htm, and look out for weekly, resp. monthly, announcements on the hallway bulletin boards.) I will follow the usual 10% per grade scheme and not grade "on a curve". However, if after grading a test the statistics show a particularly bad performance of the whole class at one problem, I may adjust that problem's weight within the whole test.
Missing a test unexcused will result in a score of zero. I will not allow you to miss a test because of a lack of preparation. If your absence is excused, I may choose to drop it and prorate the other test and homework scores, or give you a make-up test. Guard duty is no excuse for missing a test.
You can check your standing in the course here. You'll need to know your code number to identify your record. It will be on your first exam.
Gateway exam
If you've taken Calculus I at The Citadel, then you are familiar with that notion. You need to pass an integration technique exam by getting six out of seven answers correct. You may take the exam repeatedly (different versions, of course), but you have to pass it once to pass the course. Don't put it off! Take it right after we've covered section 7.2! Believe me - it's a pity seeing a B- or C-student fail the course just because of a failed gateway exam attempted too late in the semester. The exam is given at the same times as the 131 gateway exam. Click here for sample questions.
Homework
Since its total weight is only 25%, you can ignore the homework and still make a "C" in the course, right?
Wrong. You don't even have a remote chance to pass the course without doing the homework. Not only will it enable you to test your understanding of the material you saw in class - you will understand Calculus through trying, failing, and eventually succeeding in solving the problems.
When you work problems, first try to do them by yourself. After that, whether you succeed or not, you may discuss them with others. You will learn from talking about mathematics. However, do not copy homework from others. I want you to understand a problem solution (either through own research or discussion) and then formulate it in your own words. Discussing a problem solution with a classmate, understanding it, and then formulating it in your own words is allowed. Copying a solution from others is not.
Occasionally I may let you do or redo part of a test as take-home. In that case you are completely on your own - almost. I am the only person with whom you may discuss a test problem before turning it in.
Homework assignments are given in class and/or posted on the web after class. The Homework assignment page at http://macs.citadel.edu/~greimp/132calendar.htm also contains the test dates, and it tells you how much time we will spend on each chapter. The bold-faced homework problems are due in class on the day in the Due date column, regardless of whether you are attending class or not. I suggest you work the homework problems on the day when we cover the corresponding section in class; I'll reserve some time for your questions during the following class period. That should enable you to submit the homework and take the occasional quiz at the beginning of the next class period.
Help
is available: you may work with other students, see me after class, during office hours, or make an appointment (or just drop by my office, taking a chance that I may be busy). There is also individual and group tutoring (at no cost) in the MathLab. See Jeff Ragan on the first floor. I’m on campus Thursday nights and, by appointment only, Monday nights.
One last advice: when you are getting behind (or can't even get started right) - let me know right away. I'll go out of my way to help you if you try. Your grade will be based on your success - not on your effort. However, your effort will determine how much I help.