MA 341: Topics in Geometry
Lecture Notes & Classnotes

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Assignments

Aug 24

Day 1: A Brief History of Geometry

 click here click here Lecture 1  

Aug 26

Day 2: Introduction to Proofs and Axiomatic Method

 click here click here Lectures 2 & 3 Homework 01
Due Sept 2, 2011

Aug 29

Day 3: Axiomatic Systems for Geometry

 click here click here Axioms for Geometry  

Aug 31

Day 4: Definitions

 click here click here Definitions  

Sept 2

Day 5: Congruent Triangles

click here click here Homework 02
Due Sept 9, 2011

Sept 5

 NO CLASSES – Labor Day

        

Sept 7

Day 6: Angles and Polygons

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Sept 9

Day 7: Parallelograms

 click here click here Homework 03
Due Sept 16, 2011

Sept 12

Day 8: Parallelograms / Area

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Sept 14

Day 9: Circles, Arcs and Angles

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Sept 16

Day 10: EXAM 1

        

Sept 19

Day 11: Similarity

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Sept 21

Day 12: Ceva's Theorem

 click here click here Homework 04
Due Sept 28, 2011

Sept 23

Day 13: Triangles, Circumcircles and Stewart's Theorem

 click here click here   Homework 05
Due Sept 30, 2011

Sept 26

Day 14: Orthocenter and Euler Segment

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Sept 28

Day 15: Nine Point Circle Theorem

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Sept 30

Day 16: Incenter, Incircle, and Inradius

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Oct 3

Day 17: NO CLASS

     Getting Started with GeoGebra Homework 06
Due Oct 10, 2011

Oct 5

Day 18: Cevians, symmedians, and excircles

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Oct 7

Day 19: Nagel, Spieker, Napoleon, Torricelli points

 click here click here   Homework 07
Due Oct 14, 2011

Oct 10

Day 20: Pedal triangles and the Simson Line

 click here click here   Homework 08
Due Oct 17, 2011

Oct 12

Day 21: Quadrilaterals: Varignon's Theorem, Centerpoints

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Oct 14

Day 22: The Golden Ratio (Divine Proportion)

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Oct 17

Day 23: Cyclic quadrilaterals, Maltitudes, Anticenter

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Oct 19

Day 24: EXAM 2

        

Oct 21

Day 25:Tangential quadrilaterals, incircles

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Oct 24

Day 26: Bicentric quadrilaterals

 click here click here   Homework 09
Due Oct 31, 2011

Oct 26

Day 27: The Radical Axis

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Oct 28

Day 28: Loci and Conic Sections

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Oct 31

Day 29: Loci - Hyperbolas

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Nov 2

Day 30:Introduction to Hyperbolic Functions

 click here click here Introduction to Hyperbolic Functions  

Nov 4

Day 31: Conic Sections - parabolas and general equation

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Nov 7

Day 32: Coordinatization of the plane

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Nov 9

Day 33:

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Nov 11

Day 34:

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Nov 14

Day 35:

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Nov 16

Day 36: EXAM 3

        

Nov 18

Day 37:

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Nov 21

Day 38:

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Nov 23

 NO CLASSES – Thanksgiving Break

        

Nov 25

 NO CLASSES – Thanksgiving Break

        

Nov 28

Day 39

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Nov 30

Day 40:

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Dec 2

Day 41:

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Dec 5

Day 42:

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Dec 7

Day 43:

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Dec 9

Day 47:

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Dec 14

Final Exam: 10:30 AM– 12:30 PM