Logistics
Syllabus
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.
Homework
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:
Assignment 9:
Assignment 10:
Resources
Radians gif
A gif explaining the definition of a radian:
imgur.com/r/math/AQUrYb1.
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).
Ebook/Rental
Here’s where you can rent the textbook or buy the ebook version
Unit circle
Here’s an excellent diagram of the unit circle with some important
points labelled: Unit
circle
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
Here it is. Turn in this worksheet before the final
exam to get extra credit for up to 3% of your grade.
Solutions
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
here, while
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
here.
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.