Course Outline

 

Monday

Topics/Assignments

Wednesday

Topics/Assignments

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

 

Video: http://www.learner.org/resources/series65.html

View Video 16: Random Variables

 

2/3

 Probability Exercises

Assigned in class

 2/8

Statistics Part 1:

 

Notes: Part 1

 

Video: http://www.learner.org/resources/series65.html

View Video 1: What is statistics?

 

2/10

Snow Day

NO CLASS

 

2/15

Mid-Winter Recess

NO CLASS

2/17

Statistics Part 2:

 

Notes: Part 2

 

Video: http://www.learner.org/resources/series65.html

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:

 

Notes: Part 3

 

Video: http://www.learner.org/resources/series65.html

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

         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

 

Project: Project

 

Data Collection Files

Excel: Project Survey

Calc: Project Survey

3/1

Using Spreadsheets

 3/3 Review

3/8

 TEST 1

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

 Euclidean Geometry Continued

3/24

Geometry & Geometric Patterns:

Euclidean Geometry Cont.:

 

Flatland

http://en.wikipedia.org/wiki/Flatland

 

Homework (Due 4/7): Write a 500 word essay on Flatland. What was it about?

3/29

Spring Recess

NO CLASS

3/31

Spring Recess

NO CLASS

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/

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

 

3/24 Homework Due

 

Homework (Due 4/19): Write a 500 word essay on alternatives to Euclidean Geometry. Describe both Non-Euclidean and Fractal Geometry.

 

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

http://library.thinkquest.org/26242/full/tutorial/tutorial.html

 

4/19

Review

 

4/7 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

 

Homework (Due 5/3): Write a 500 word essay on why Pythagoras made the statement that "All is Number"

4/28

Number Patterns:

Sequences: Find the Pattern

Special Sequences: Fibonacci

http://www.mathacademy.com/pr/prime/articles/fibonac/

 

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

http://www.mcs.surrey.ac.uk/Personal/R.Knott/Fibonacci/phi2DGeomTrig.html

 

5/3

Number Patterns: Recurrence Relations

 

http://videos.howstuffworks.com/hsw/11395-writing-the-recursive-definition-of-a-sequence-video.htm

 

Arithmetic and Geometric Sequences:

http://www.purplemath.com/modules/series3.htm

 

http://www.ltcconline.net/greenl/java/IntermedCollegeAlgebra/ArithGeo/ArithGeo.html

 

4/26 Homework Due

5/5

Number Patterns: Recurrence Relations

Tower of Hanoi: http://en.wikipedia.org/wiki/Tower_of_Hanoi

 

5/10

Modular Arithmetic:

http://spider.usask.ca/resources/csconcepts/1999_7/tutorial/trail/tp03.html

http://jwilson.coe.uga.edu/EMAT6680/Parsons/MVP6690/Essay1/modular.html

http://mathworld.wolfram.com/ModularArithmetic.html

http://www.ccs.neu.edu/course/csu200/05F/handouts/crypto.pdf

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:

Modular Arithmetic & Cryptography.pdf

5/17

 Review

5/19

 Test 3

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