Meets Tuesdays and Thursdays at 6:00pm in JTB 130. Office hours are Mondays and Wednesdays from 1pm to 2pm, Thursdays from 11:20am to 12:20pm, or by appointment. My office is in JWB 314.
Assignment 1. Due September 4th at the start of class.
Assignment 2. Due September 11th at the start of class.
Assignment 3. Due September 16th (on Tuesday!) at the start of class.
Assignment 4: Complete the following problems from the textbook:
Assignment 5: Due October 7th. Complete the following problems from the textbook:
Assignment 6: Complete the following problems from the textbook:
Assignment 7: Complete the following problems from the textbook:
Assignment 8: Complete the following problems from the textbook:
A gif explaining the definition of a radian:
A note on this gif: in class, we said that an angle θ is a radians if θ intercepts an arc of length ra on a circle of radius r (and θ goes counter clockwise! Otherwise θ is -a radians). Another way of thinking about this (and this is what the gif illustrates) is that an angle θ is 1 radian if the length of an arc θ intercepts on a circle is equal to the radius of that circle (we get this if we plug in “r=1” in our first definition).
Here’s an excellent diagram of the unit circle with some important
points labelled: Unit
If that link doesn’t work for you try this one: Unit circle 2. You’ll need these diagrams to compute trig functions on the homework!
Graphing Trig functions
Here is the Wolfram demonstration we’ll use in class on September 11. To play around with the demo, you’ll need the Wolfram CDF player, available here for free. It should also be installed on computers in the library.
Fundamental Trig IDs sheet
Exam 2 practice worksheet
Exam 3 practice worksheet
Final exam practice worksheet
Demos: Multiplication of complex numbers and polar plotting
I tried to present two demos in class today (12⁄9) but they didn’t work.
Anyway, you might find it fun/helpful to try them out on your own. The
demo about multiplying complex numbers is found
the demo about plotting polar functions is found
here. To use either of
these demos, you’ll need that same Wolfram CDF player from before, found
A word on the first demo: the upshot is that if you move the green point outward along the direction it’s pointing in, the red point, which is the blue point times the green point, will move outward along the direction it’s pointing. The direction of the red point will stay the same as long as the directions of the blue and green points stay the same. Moreover, the angle of the red point is just the angle of the blue point plus the angle of the green point. If you rotate the green point clockwise by some amount, the red point will rotate clockwise by the same amount, and so on.