Informal Description
Here is some additional information and advice that should give you a better idea what to expect from this class, how to enjoy it and do well, and help you decide whether or not this class is for you.
- This class is a lot of work, but I think it's less work
than Calculus I.
- Falling behind in this course is not a good idea. If you're
confused about something, it's very important that you seek help
sooner rather than later. There are many people around who can
offer help. However, we can't offer assistance if we don't know
who needs it when. You need to take responsibility to seek help if
you need it. On a related note ...
- I do not expect all of the homework assignments to be easy; I
don't expect you to be able to sit down and do them easily the
first time. Don't let yourself get frustrated -- I strongly
suggest working with others and seeking help if you need it.
- In Calc II we will work a bit more with computers than we did
in Calculus I. Knowing how to use a computer algebra and graphing
system is important and, at times, essential, if you're going to
do "real-world" and not text-book math. This may be frustrating
for some, but I'm convinced it's worth it.
- This class meets three times a week. My plan is to treat the
three meeting times pretty much the same. Any lab activities
will be incorporated into the class times.
- In many more traditional math classes the textbook has a ton
of examples in them. The book we'll be using doesn't. The result
is that students sometimes find the homework to be challenging,
frustrating, and occasionally even annoying. However, I'm
convinced that this style of homework -- where there's not an
example just like the problem you're trying to do -- is much
better pedagogically. You'll learn a lot more this way.
- This course covers pretty standard Calc II material. The
text book we're using is used at many other colleges and
universities in the U.S.
- Many of you haven't taken Calc I here this year, and might
not have taken and Calculus at all for a while. Don't worry. In
the past, people who have taken calculus elsewhere have done very
well in this course. We will review Calc I material as needed.
- This class is a lot of work. However, the workload is steady;
you'll be doing approximately the same amount of work each
week. We'll hit the ground running and try to get lots of stuff
done the next few weeks. The workload will taper off some toward
the end of the term.
- There are four parts to the class, each with a distinct
feel.
- Introduction to the integral. This part of the course is
largely conceptual and will involve some numerical work and
graphical reasoning. (Chapters 5-6.)
- Shortcuts to evaluating the integral. This is the most
algebra-intensive portion of the course and in some ways may feel
the most traditional. (Chapter 7.)
- Applications of integrals. Here we will learn several
different ways that integrals are used in various areas of math and
science. This is the most applied part of the course. (Chapter
8. We won't cover all the chapters; which ones we do will depend on
student interest.)
- Sequences and series. This is a topic that is largely separate from the rest of the course. It has a different feel to it. The material can be a little difficult, but most students find it a nice change of pace and a good way to end the term. (Chapters 9-10.)
- Introduction to the integral. This part of the course is
largely conceptual and will involve some numerical work and
graphical reasoning. (Chapters 5-6.)