You can reach me by voice-mail at 7-2703 or by e-mail kainen at georgetown.edu
Students in elementary classes (up to Math 036) can find free tutoring services at the Math Assistance Center which has opened. It is located in Reiss in the lounge (usually) (rm 256) Sunday through Thurs. evenings from 6 to 10 pm.
Other general information, including for other courses, on the index (classroom) page . Back to the calculus page.
Last modified: March 21, 2007
As you will know if you have been attending class and doing the homework, the original schedule of topics has been somewhat modified. We've done sections 5.6 and 5.10, then 8.1, 8.2, and 8.3, and we are now doing 5.7 and 5.9. These sections will be covered on the first midterm - still scheduled on Feb. 15 in the evening as below. On Feb. 12--14, we will talk about 5.8 (tables) briefly and a specific list of what the exam will and will not cover will appear on the regular class page by next weekend (Feb. 10--11).
For the second midterm, we will focus primarily on chapter 6 (sections 1 through 4) and 7.3 and 7.5 (logistic model and its analytic solution only).
The text is Single-Variable Calculus: Concepts and Contexts by Stewart, 3rd edition. In this semester (Spring 2007) we will cover portions of Chap. 5, 6, 7, and 8, as indicated below.
Here is the syllabus for my sections of Math 036, Spring 2007.
Book: Stewart's Calculus: concepts and contexts, 3rd Edition
Please note that there will be three midterms, in addition to
the final. The midterms are scheduled _in the evening_ at 9:30;
Reiss 264. You will have as much time as you need for midterms.
Jan. 10, 12: Review
Jan. 16, 17, 19: Integration-by-parts (5.6)
Jan. 22--26: Improper Integrals (and the Gamma function) (5.10)
Jan. 29--Feb. 2: Sequences, Series, and Convergence (8.1--8.3)
Feb.5--9: Trig integrals, trig substitution, partial fractions,
and numerical approximation (5.7, 5.9)
Feb. 12--14: Review of various integration techniques, including
tables (5.8)
FEB 15 (Thursday evening at 9:30 pm - Reiss 264) 1st Midterm
Feb. 16: Integrals and geometry
Feb. 20--23: Areas and Volumes (6.1, 6.2)
Feb. 26--Mar. 2: Arc length and average value (6.3, 6.4)
SPRING BREAK (Mar. 5--9)
Mar. 12--16: More on areas, volumes, and arc lengths.
Mar. 19--23: Separable differential equations (7.3)
Mar. 26--27: Logistic equation (7.5) - model and analytic solution.
MARCH 27 (Tuesday evening at 9:30 pm - room TBA) 2nd Midterm
Mar. 28--30: Tests for convergence and divergence (8.1 -- 8.4)
Apr. 2--4: Power series (8.5)
EASTER BREAK
Apr. 10--13: Representation of functions as power series (8.6)
Apr. 16--20: Taylor Series (8.7)
Apr. 23--24: Applications (8.9)
APRIL 24 (Tuesday evening at 9:30 pm - room TBA) 3rd Midterm
Apr. 25--27: Selected topics
Apr. 30: Review - last day of classes
Your grade for the course has three components: 50 percent (for the
three midterms), 25 percent (for the final), and 25 percent other.
Regular homework and class attendance (as measured by pop quizzes)
are expected of all students. If you comply, I will give you full
credit for the "other" portion of your grade - otherwise, you will
get a suitable fraction based on how well you do on quizzes and on
how often you were here to take them, as well as how often you did
the homework.
I recommend that you use the text sparingly - unless you have insomnia ;-) It is better to plunge in. Try to work problems on your own, looking back to see what is there if you get stuck. Basic concepts will be explained in class but not necessarily all of them. Read the book with a critical attitude, skipping the voluminous "explanations" but looking for those points that are confusing. One way to identify such confusions is to see whether you can work the examples given in the text. Also try the odd-numbered homework problems, where the answers are given in the back of the book and for which detailed write-ups are available in the student solutions manual.
Calculators are not allowed for use on quizzes and tests They won't be needed for the problems I give on quizzes, tests, or homework.
I suggest that you collaborate with some of your classmates. Studying in a group helps prevent you from dozing off and someone else can better quiz you on a concept than you can do it yourself. However, you should do homework on your own. It is your best chance to learn the material.
As I mention in class, the sina qua non for the class is _effort_ which you can demonstrate through homework, quizzes and class participation. In general, I have found that students who do make a real effort will not be disappointed in their grade.
Quizzes will be frequent and unannounced. You are expected to attend most classes, but occasional absences are acceptable. In general, quizzes are brief and are designed to show that you have been paying attention.
I expect you to do the homework assignments. If you can't be there the day it is due, give it to someone else to hand in for you. Neither quizzes nor homework can be made up later. Also, please save your old homework, quizzes, and tests so that you can use them for review and so that I can go over them with you in the event you have difficulties later.
BTW, sometimes your solutions are different than the ones given in class. In fact, sometimes they are better! That is worth an extra plus in my grade book ;-)
Homework or quizzes which are not picked up in class will be in a box in the new math lounge in St. Mary's. Be sure to pick them up asap since you'll need to have them later, and also since there may be valuable information in the corrections.
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