Introduction:
The second semester of calculus builds on the ideas developed in the first semester. Three major areas will receive most of our attention. First we will see how the definite integral can be used to solve a number of practical problems. Second we will develop some techniques for finding antiderivatives. Finally we will investigate sequences and series and their role in approximating functions.

Goals:
You will further your understanding of the principles behind and the applications of calculus.  You will learn to solve problems and communicate your solutions clearly orally and in written form.

How the course will be conducted:
A common experience in many math classes is that the professor shows the students how to work certain problems.  The solution is quite slick and is made to appear easy.   The students are often given the impression that either;  1. there is no need for them to work any problems on their own since the solution methods have been so clearly demonstrated, or  2. anything short of the slick solution is of no value.  Neither of of these impressions is correct.  Having watched someone else solve a problem does not guarantee that you will be able to solve similar problems.  You learn how to solve problems only by actually working on them yourself.  If you must watch someone else, it is far better that it be someone who is at your own level.
In order to become better problem solvers and also to help you better retain the essentials of calculus we will spend most of our class time working problems at the board and discussing these solutions.
In case you are a little suspicious about the legitimacy of all of this, I want to assure you that the style of teaching I am using has a long and distinguished tradition.  My teaching style is influenced by what is often referred to as the Moore Method, Inquiry Based Learning, or the Socratic method.  For more on this go to  http://www.mathnerds.com/texan/index.asp .
Problems will be posted at  http://www.aug.edu/~cstallmann/M2012S12MM.pdf .  You will not be given all the problems at once, but only enough to keep you busy for the next few class meetings.  There are several reasons for this. First, it gives me a chance to tailor the problems to the class.  Second, it gives you a chance to contribute problems by making your own conjectures and asking questions in class.  And finally, it keeps me from spoiling your fun by giving away something that you might have discovered on your own.  Because I am generating problems as we go, please don't hesitate to let me know about typos, errors, or anything that you have trouble understanding.  You will be doing us all a favor if you bring such matters to my attention.  I am open to any suggestions as long as they don't distract us from our goal of becoming better problem solvers and mathematicians.

Grades:
Board work and class participation 25%
Written work 25%
Midterm exam 20%
Final Exam 30%

Attendance:
I expect you to attend every single class meeting.  The nature of the course requires you to be present, both to present your work to others and to respond to the work they share with you (and hence to earn the points that constitute your grade). Of course, if urgent circumstances require your absence, you will be responsible for any work that you miss. In such cases, please get in touch with me as soon as possible with an update about how you will catch up on what you missed.  If you miss more than 6 class periods you are subject to being withdrawn from the class.

More details on grades:
The board work and class participation grade will be based on a point system.  You get 1 to 3 points for working a problem at the board and 1 to 2 points for contributing to someone else's solution.  All points are counted in a positive sense.  No one will ever get points taken away.  You are never penalized for trying.
The point scale for board work is as follows:

0-You really have nothing.  You are just winging it.
1-You have major errors.
2-You have some minor errors, your solution is not complete, or your presentation is not clear.
3-You have a clear, correct, and complete solution.

An unsuccessful first attempt with a score above 0 may be redeemed at a subsequent meeting.  This will potentially allow you to get full credit for the problem in the end.  While I will try to be as fair as possible in calling on students to present to the class and in awarding points for this work, I must ask you to respect my judgment on these matters.
You can also earn points by contributing in a significant way to class discussions.
Written work will primarily consist of careful write-ups of problems that you or someone else has presented in class.  You will be expected to write thorough, correct, and clear solution to every problem that is worked at the board.  Each Thursday I will collect one or more of these written solutions from the previous week's in-class work to grade and return to you.  You are to work on these write-ups alone: I will not accept written work on which you collaborated with someone else or that you copied from a book or the internet.  These written solutions should contain considerably more detail and explanations than solutions presented at the board.  Expect my standards to be quite high.
Written work is graded on a 0 to 5 scale, with point values as follows:

0-The work you handed in is not your own.
1-The work you handed in does not make sense or is irrelevant to the problem
2-The work you handed in contains major errors that cannot be fixed without a complete overhaul.
3-You have the right idea but the details are incorrect or incomplete.
4-Your solution is essentially correct.  What is keeping you from earning a 5 is either poor or imprecise wording or notation or minor computation or algebra errors.
5- Your solution is both correct and written in a clear and precise manner.

For more on what constitutes good written work go to: http://www.aug.edu/~cstallmann/goodwrittenexplanations.htm
The grades are necessarily somewhat subjective, but I will do my best to make sure that you understand my assessment of your work.

Textbook:
I do not require a textbook.  If you want to have one available as a reference there are many calculus books that will serve the purpose.  You can probably pick one up for less than $10.

Withdrawal:
The deadline for withdrawal with a grade of W is Wednesday, March 7 . Any withdrawal after that date will result in a WF. If you feel that you must withdraw please try to do so on or before March 7.

Important Dates
Midterm Exam:        Thursday March 1 (12:00-12:50 )
Final Exam:              Friday May 4 (13:00 - 15:00 )