Syllabus for Calculus II

Course purpose

As you know, calculus is a powerful set of tools built on the notions of limit and infinity that help us analyze functions. In this course, we'll push the ideas you learned in Calculus I further to explore the following topics:

Techniques of integration: Integration is much harder than differentiation. We'll learn several techniques to make life easier.
Applications integration: Calculus grew up with science and continues to have many applications today. We'll learn a few of these.
Understanding of the infinite: We'll learn ways to add infinitely many numbers or functions. This will be profitable both scientifically and philosophically.

Materials

Text: We will use the APEX Calculus text. This is an open text made freely available through the Creative Commons license. You may download a PDF for free or purchase a hard copy from Amazon for $13.
WebWork: We will have regular auto-graded homework using WebWork. You can login here, using the information presented in class.
Discourse: I've set up an online discussion forum to facilitate questions and answers. You should receive an email soon describing how to log on here.
Technology: We will not be using calculators and they will not be permitted on quizzes or exams. A calculator or other computational tool will often be useful on homework assignments, however.

Advice

Learning mathematics: I expect that you wouldn't be in calculus if you didn't already know that mathematical study is a challenging, yet worthwhile endeavor. Mathematics is the most natural language with which we describe the world around us and, I believe, this this helps us better comprehend and enjoy the world. However, understanding this deep language has a price - it's hard and takes loads of work! I suggest that you spend at least 1.5 hours between classes and at least 3 hours over the weekend studying each math class. Remember that college is a full time job!
The typical day: Class is 70 minutes long and will usually be divided between lecture and problem sessions. We will often have a short quiz Friday.
Exam week: Problems for the exams will be taken from homework, in class sheets, and a small collection of review problems. The review problems will typically be available the five days before an exam and we will discuss them the period before the exam.
Help: You are not undertaking this challenging task alone. Here are a few sources of assistance:
- Me: I like to talk to people about mathematics! That's why I chose this profession. My schedule is posted on my webpage, including an office hour just before this class, but I'm around much more regularly than that. Please feel free to approach me any time you have questions.
- Your classmates: Most people learn mathematics best by talking it through with others. You will find that you can both learn from and help your fellow classmates. In particular, if your classmate is explaining a fine point to you, then you are helping them! Hopefully, our Discourse will facilitate this as well.
- The Math Lab: We all know the Math Lab rocks! It's open long hours and is located right across the hall from my office. You will be welcome there and will definitely find people to talk to about mathematics.

Grades

Exams: There will be three exams during the semester worth about 100 points apiece. Likely dates for the exams are:
- Wednesday, September 16
- Friday, October 16
- Friday, November 20
Final exam: There will be a comprehensive, final exam worth around 180 points at 11:30 AM on Wednesday, December 2.
Homework: There will be two types of homework:
- WebWork, which is online and automatically graded.
- Textbook assignments, which will not be collected but offer important practice. We might discuss some of these on...
Discourse: You can earn up to 50 points by participating in our online discussion forum. Note that this is a course requirement; those 50 points are equivalent to half an exam. There will be a discussion on the site itself indicating exactly how it works.
In class problems: We will work problem sheets together most days. Quiz and exam problems will be closely related to these sheets. In addition, you will receive a 40 point class participation grade simply for participating regularly.
Final grades: I will determine final grades using a scale not more stringent than the standard 90-80-70-60 scale. You will be apprised of your standing as the term progresses.
Late work: In general, I don't accept late work.
Cheating: I don't deal with cheating. If I suspect cheating strongly enough, I simply refer you to the provost and fail you for the class.