MATH 152

MATH 152 = &nb= sp; More Calculus!&nbs= p; Spring 2005

First of all, congratulations on = making it through the first semester of calculus. That in itself is qui= te an accomplishment, and you now understand the basic ideas that Newton and Leibniz developed 300 years ago. This semester we'll delve deeper into these ideas, focusing on three main ideas:

Applications of Integration Last semeste= r you learned some basic integration techniques – now you’ll lea= rn what you can do with them.
Techniques of Integration Last semeste= r, you learned how to undo the sum rule and chain rule for derivatives. Now we’ll undo the prod= uct rule and figure out some more complicated integrals.
Approximations of Functions How does a calculator figure o= ut sin(35˚)? It doesn't draw a triangle and measu= re the opposite side and the hyp= otenuse. Instead, it uses an approximation. To unders= tand this topic, we’ll spend a fair amount of time covering sequences= and series, leading to power series.

Class Phi= losophy: One learns math by doing it, not by = watching other people do it. Consequen= tly, you will be required to participate actively during class, and work very hard outside of it. The payoff is big: Calculus is one= of the truly monumental achievements of the human species, and by the end of t= his class, you will understand it better.

Throughout the semester, I will be giving each of you= ideas about what you need to do to improve your understanding of Calculus. Some of these apply to everyone: r= ead the section we will cover before coming to class, try some of the homework problems ahead of time, answer the Textbook Question that you’ll get = on email, do lots and lots of homework problems (more than I assign to hand in= ), don't fall asleep in class, etc. Others will be more directed, and probably suggested to you when you come to my office hours (see below). The flip side of this is that you need to give me ideas about the course, and how to make sure you get the most out of it. I will give a survey at some point= , but if at any time you have something to share with me, just let me know (anonymous note, phone, email, e-greeting, etc). This semester, you’ll also be asked to fill out a questionnaire about me – as part of my tenure decision next year. Please ta= ke your responsibility seriously.

Where to = go for help: You have three main resources = to draw on when you need help in this class.&= nbsp; The first and most important is your fellow classmates. Calculus will go much smoother for= all of us if you start getting to know them and start studying with them outsid= e of class early in the semester. = The second is me. Your third reso= urce will be your TA, Karina Karakulov. We can be reached at:

Dave Kung	x4433	175 Schaefer		dtkung@smcm.edu<= /a>
Karina Karakulov	x4726	QA 218	AIM: woolfismybeach	kkarakulov@s= mcm.edu

&nbs= p;

Office Ho= urs: Here are my official office hours. In addition to these, I am in my office most of the time. If you’d like to meet, stop = by or drop me an email.

Monday	2:40-3:40
Wednesday	10:40-11:40
Thursday	12:00-1:00

Problem S= essions: On Tuesday evenings when we don't ha= ve exams (see below), there will be a problem session. These will be run by Karina, and w= ill largely consist of finishing the worksheets that we start in class on Monda= y.

Grading:<= span style=3D'mso-spacerun:yes'> Calculus can be learned at two levels. At the basic, mechanical level, you will learn how to do calculus (e.g. techniques of integration, proving convergence of a sequence, finding Taylor series, etc.) Achieving this = level of competency will earn you at least a C.&= nbsp; Higher grades will be earned by understanding Calculus at a deeper, theoretical level. This inclu= des understanding why we do the calculations, why they work, and why they apply to so many of the physical = situations around us. Your ability to ex= plain the concepts of calculus will continually be tested, both in class and on exams.

There will be a variety of ways to show that you are learning Calculus. They will contribute to your final grade as follows:

Assessment &n= bsp; = ; &n= bsp; Date &n= bsp; = ; &n= bsp; Percent

Exam I = &nb= sp; = February 8^th &= nbsp; 13

Exam II = &nb= sp; = March 8^th &nbs= p; &= nbsp; &nb= sp; 13

Exam III = &nb= sp; = April 12^th <= span style=3D'mso-tab-count:1'> &= nbsp; &nb= sp; 13

Group Project &= nbsp; &nbs= p; Due April 18^th &= nbsp; 16

Homework &n= bsp; = ; &n= bsp; all semester &nbs= p; &= nbsp; 10

Class Participation &n= bsp; = ; all semester = 10

Textbook Questions &= nbsp; &nbs= p; all semester = ; &n= bsp; 5

Final Exam &= nbsp; &nbs= p; &= nbsp; Friday, May 6^th, 7pm &n= bsp; 20

Total = &nb= sp; = &nb= sp; = &nb= sp; 100

The exams are in the evening starting at 6pm and are essentially untimed. Be sure to mark these on your cale= ndar now. Information about the Gr= oup Project will be distributed later in the semester. Roughly 24 hours before most class= es, I will email you all a question or two regarding the reading (a Textbook Question). After doing the re= ading, you should reply to the message, answering as best you can. Grades for the emails will be base= d on participation – although if your answer makes it clear that you didn’t read the section at all, it will not count.

Learning in this class is considered to be everyone's shared responsibility. Part o= f that responsibility is attendance; when you are not here, not only do you miss important work, but the entire class misses out on your contribution. The Class Participation portion of= your grade will reflect that. In addition, we will be working in groups roughly once a week (on Mondays); how well you work with others will also factor into the Class Participation por= tion of your grade.

Extra Cre= dit: You can earn a 1% increase in your grade by attendi= ng and writing a one page report on any NSM Colloquium talk or MathCS Club talk. This can be repeated up to three times for a total of 3% extra before calculating your final grade. Talks are for a general audience of science majors in the areas of Mathematics, Computer Science, Biology, Chemistry and Physics. The NSM lectures are in Room 106SH every Wednesday at 4:40. Ma= thCS Club talks are posted several days in advance on the walls of Schaefer.

I would love to give everyone an A this semester!

Let's all work toward that goal!