Fall 2007 Math 2B evaluation results

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Math 2B: Final exam info

The final exam will cover every section we have covered in class.  Refer to the course schedule:

http://gregknese.wordpress.com/math2b-fall07/schedule/

Here are some review problems from the book for the most recent material that you might want to look at (look at earlier exam posts for review problems on old material).

pg. 576:

Concept check: 1, 2, 3, 4, 6, 7

True-False: 1-7

Exercises: 1, 3, 5, 11, 13, 15, 19, 41, 45

pg. 619:

Exercises: 1, 3a, 7

pg. 732

Concept Check: 1, 2, 4, 5

True-False: 4, 6

Exercises: 1, 3, 7, 15, 19, 21, 23, 35

Math 2B Review Sheet

Here are a bunch of general questions that you should be able to answer:

Section 11.3 Recommended Problems

This section is about polar coordinates: instead of describing points by their coordinates we describe them using their angle and their distance from the origin.

Here are some recommended problems:

1, 3, 5, 7, 11, 13, 15, 17, 21, 23, 29, 31, 37, 45, 47, 55, 57, 61, 63

Challenge: 81

Here are some videos:

Section 11.2 part 1 recommended problems/videos

This section is about calculus and parametric curves. We find formulas for the slope of the tangent line to parametric curve and a formula for the second derivative of a parametric curve. We also find a formula for the arc length of a parametric curve.

Here are some recommended problems:

1, 3, 5, 7, 11, 17, 37, 41, 43

Challenge: 69

Here are some videos:

Section 11.1 recommended problems/videos

This section introduces parametric curves: a new way of defining curves (as opposed to by a function) where the x and y coordinates of the curve are functions of a parameter (best thought of as time).

Here are some recommended problems:

1, 3, 5, 7, 9, 13, 15, 24, 27

Challenge: 39

Here are some videos of examples:

Trig substitution overview

By popular demand, I have made a couple of videos of a quick overview of trig substitution and two examples.

This first video introduces trig substitutions and gives a typical example.

Section 9.1 Recommended problems

This section is about arc length and the most important thing to know is the formula for the arc length of the graph of a function between two points and

Arc Length

Here are some recommended problems:

1, 5, 7, 11, 15, 17, 33

Challenge: 37

Here are some videos:

Section 8.8 Recommended Problems

This section is all about improper integrals, which just means integrals with infinite intervals of integration (these are important in probability and statistics) or integrals involving discontinuous functions.

Here are some recommended problems:

1, 3, 5, 11, 19, 25, 27, 31, 35, 39, 49, 53, 55, 63

Challenge: 71, 77

Here are video lectures for this section:

Partial fractions videos!

Here are some videos on integrating rational function using partial fractions. All of the videos are 8 minutes or less, so don’t be afraid that there are so many. A good strategy for watching these videos would be to watch a video and then find a similar type or problem and try to work it out on your own. It would also be good to take notes while you watch the videos. Rewatch things you don’t understand. Ask questions about things you don’t understand.

Let me know what you think. Do you think I should just have links to the youtube videos? (i.e. does this page take too long to load?)

Click more to go to the videos.