Course Outline
Monday
Topics/Assignments
Wednesday
1/25
Introduction
Course Information
Course Topics: Three General Sections will be Covered
(1) Probability & Statistics; (2) Geometry; (3) Numbers/Number Theory
(1) Random patterns, (2) Spatial patterns, (3) Numerical Patterns
1/27
Probability: Parts 1 & 2
Notes: Part 1
Notes: Part 2
Video: http://www.learner.org/resources/series65.html
View Video 15: What is Probability?
http://www.lifeisastoryproblem.org/probability/index.html
2/1
Probability Part 3:
Notes: Part 3
View Video 16: Random Variables
2/3
Assigned in class
2/8
Statistics Part 1:
View Video 1: What is statistics?
2/10
Snow Day
NO CLASS
2/15
Mid-Winter Recess
2/17
Statistics Part 2:
View Video 2: Picturing Distributions
Project: Project
Data Collection Files
Excel: Project Survey
Calc: Project Survey
Getting Open Office/Calc:
http://www.openoffice.org/
http://www.ooomacros.org/user.php
Using Calc
Document: http://education.uregina.ca/technology/ecmp355/Tutorials/OOCalcTutorial.pdf
HTML: http://spreadsheets.about.com/od/otherspreadsheets/ss/080616_24_calc.htm
Video: http://www.skillmotion.com/video/open_office_calc
Video: http://www.skillmotion.com/video/open_office_calc_tutorial2
2/22
Statistics Part 3:
View Video 3: Describing Distributions
Due date for Statistics Project Data
2/24
Using Spreadsheets:
Excel: http://home.ubalt.edu/ntsbarsh/excel/excel.htm#rdesstst
Calc: Document: http://education.uregina.ca/technology/ecmp355/Tutorials/OOCalcTutorial.pdf
3/1
Using Spreadsheets
3/8
3/10
Geometry & Geometric Patterns:
Introduction and Overview
The Importance of Proof
Notes: What is Proof (part 1)?
Notes: What is Proof (part 2)?
3/15
Euclidean Geometry (Part 1)
Notes: Euclidean Geometry
Notes: Lines & Angles
http://www.lifeisastoryproblem.org/explore/index.html
Statistics Project Due
3/17
Euclidean Geometry (Part 2):
Notes: Triangles
Notes: Constructions
3/22
3/24
Euclidean Geometry Cont.:
Flatland
http://en.wikipedia.org/wiki/Flatland
Homework (Due 4/5): Write a 500 word essay on Flatland. What was it about?
3/29
Spring Recess
3/31
4/5
Non-Euclidean Geometry
Mobius Strip & Klein Bottle
http://www.scidiv.bcc.ctc.edu/Math/Mobius.html
http://www.answers.com/topic/klein-bottle
http://www.math.ohio-state.edu/~fiedorow/math655/yale/
3/22 Homework Due
Homework (Due 4/19): Write a 500 word essay on alternatives to Euclidean Geometry. Describe both Non-Euclidean and Fractal Geometry.
4/7
Fractals (Part 1)
http://library.thinkquest.org/26242/full/tutorial/tutorial.html
http://www.math.nus.edu.sg/aslaksen/gem-projects/maa/World_of_Fractal.pdf
http://www.lifeisastoryproblem.org/worksheets/fractals2.pdf
4/12
Fractals (Part 2)
Practice finding dimensions of Fractals: http://math.rice.edu/~lanius/fractals/dim.html
http://fractals.iut.u-bordeaux1.fr/jpl/dimension_a.html
4/14
Chaos
4/19
Review
4/5 Homework Due
4/21
Test 2
4/26
Numbers and Number Patterns
Pythagoras: All is Number
The man who invented music
http://www.aboutscotland.co.uk/harmony/prop.html
http://www.sourcetext.com/pythagoras/mcclain.html
http://britton.disted.camosun.bc.ca/jbfunpatt.htm
4/28
Number Patterns: Special Numbers
http://www.mathsisfun.com/numberpatterns.html
http://www.mathacademy.com/pr/prime/browse.asp?LT=F&PRE=&submit1=GO&LEV=E&TNT=Y
http://www.stetson.edu/~efriedma/numbers.html
http://home.earthlink.net/~mrob/pub/math/numbers.html
SuDoku
http://puzzles.about.com/library/sudoku/blsudoku_tutorial01.htm
Sequences: Find the Pattern
Special Sequences: Fibonacci
http://www.mathacademy.com/pr/prime/articles/fibonac/
5/3
Number Patterns:
Golden Mean:
http://www.vashti.net/mceinc/golden.htm
http://www.vashti.net/mceinc/store/
http://community.middlebury.edu/~harris/Humanities/TheGoldenMean.html
http://britton.disted.camosun.bc.ca/goldslide/jbgoldslide.htm
4/26 Homework Due
5/5
5/10
Modular Arithmetic:
http://www.antilles.k12.vi.us/math/cryptotut/mod_arithmetic.htm
http://www.math.csusb.edu/faculty/susan/modular/modular.html
http://www.math.rutgers.edu/~erowland/modulararithmetic.html
http://www.math.umbc.edu/~campbell/NumbThy/Class/BasicNumbThy.html
http://en.wikibooks.org/wiki/High_School_Mathematics_Extensions/Primes/Modular_Arithmetic
5/12
Modular Arithmetic & Cryptography.pdf
5/17
5/19
Test 3
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