Planned schedule:
| Monday | Wednesday | Friday |
| 1/28 Introductions, some interesting topics Pictures from class HW: Skim through the textbooks, and find several topics you would like to learn about. |
1/30 Bring in your "interesting topics" list Angles in circles assignments |
2/1 More circles and flow chart proofs (intersecting chords). Some similarity review. Today's assignment (due Monday) |
| 2/4 Sign up to teach a topic. E-mail me if you didn't turn in a preference list in class. Still more reasoning and circles. Power of a point. Write a flow-chart proof of the power of a point result where the point lies outside the circle (see picture 2 here: http://www.cut-the-knot.org/pythagoras/PPower.shtml) |
2/6 More circles: | 2/8 Probably more circles |
| 2/11 Trigonometry: similarity and trig functions; solving right triangle problems (DG 12.1 and 12.2) | 2/13 Trigonometry: Law of sines and law of cosines (DG 12.3 and 12.4--leave 10 minutes please) | 2/15 Trigonometry: extending to the unit circle and the Pythagorean identitiy |
| 2/18 Trigonometry: sum of angles formulas | 2/22 Exam | |
| 2/25 Basic constructions | 2/27 Hexagons and Pentagons | 3/1 Incenters and Circumcenters. Assignment: The homework is to make 6 triangles: 2 scalene acute, 2 scalene obtuse and 2 scalene right triangles. Find/construct the circumcenter of each of them. Then make a conjecture relating the position of the circumcenter to the type of triangle. (see Geometry sec. 3.7) |
| 3/4 Concurrence 1 | 3/6 Concurrence 2 (Centroids) | 3/8 Ceva's theorem |
| 3/11 Mandelbrot and Julia sets Homework on triangle centers: geogebra file; alternate (Word docx) file. |
3/13 Strictly self similar fractals HW today HW from last week (correct and resubmit) |
Iterated Function System fractals. You can read about them at http://classes.yale.edu/fractals/ |
| 3/18 Fractal dimension assignment fractals Alternate IFS assignment |
3/20 | 3/22 Exam 2 |
| 3/25 Spring Break | 3/27 No classes | 3/29 |
| 4/1 Informal Topology Homework | 4/3 Homeomorphisms pg 303 # 2, 3, 4, 5a,b,e,f | 4/5 Homeomorphisms p. 328 # 1, 2, make a "State of Utah" |
| 4/8 Euler Number Homework | 4/10 | 4/12 |
| 4/15 | 4/17 Homework: 2 holed torus | 4/19 |
| 4/22 | 4/24 | 4/26 |
| 4/29 | 5/1 | 5/3 |
| 5/6 | 5/8 | 5/10 |
| Final exam, Weds May 15 1-3 pm |