Topics:
• Applications of exponential functions: see Examples 15.3, 15.6, 15.7. I added a question to Ex. 15.3: in what year will the population size have doubled from its original size (in 2000)?
• Quick review of Trigonometry basics we need for this course (to be continued a bit next time):
The right-triangle definitions of the trig ratios
Two special right triangles – you need to know these very well!
Finding sine, cosine, and tangent for the angles in the special triangles
The coordinate plane definition of the trig functions
The unit circle definition of the trig functions (MOST IMPORTANT!)
The signs of sine, cosine, and tangent in the four quadrants
Radian measure for angles – we will almost always use radian measure, so you should learn to think in radians as much as possible and, especially, be familiar with the radian measure of the important angles.
It is also useful to read and work through Section 17.1 in the textbook, which contains this and more.
Homework:
• Review the examples discussed in class, and start reviewing trig basics.
• Do the WeBWorK Exponential functions – growth and decay. Problem #3 is required (as it is most similar to what will probably be on the Final Exam). If you do any one or more of the others by the due date (no extensions for this!) it will count as extra credit.
• Also make sure to do the following problems from the textbook:
Exercises 15.3 – 15.8
You may put one of these on the board at the start of class next time.
• Here are some useful videos from PatrickJMT to help with the review fro today and next time:
Deriving points on the unit circle (using the two special right triangles and other things)
Remembering the important points on the unit circle: part one, part two.
(Remember that the points on the unit circle give you the cosine and sine of an angle.)
Remember that if you get stuck on any of the problems or have a question about any of the material, you can post a question to the Piazza discussion board.
