MA 341: Topics in Geometry
Schedule of Topics & Homework
Fall 2010

Date

 

Due

Date

Coverage

Aug 25

Day 1

 

Introduction and a History of Geometry

Aug 27

Day 2

 

Introduction to Proofs and Axiomatic Method
BlackBoard

Aug 30

Day 3

 

1B – Congruent Triangles
p 10: 2, 3, 4

Sept 1

Day 4

 

Web Assignment
BlackBoard

Sept 3

Day 5

 

1C – Angles and Parallel Lines
BlackBoard

Sept 6

 

 

NO CLASSES – Labor Day

Sept 8

Day 6

Sept 15

1D – Parallelograms
pp 17: 1, 2, 3, 4, 7, 10

Sept 10

Day 7

Sept 15

1E – Area
p 23: 1, 2, 3

Sept 13

Day 8

Sept 17

1F – Circles and Arcs
pp 32–33: 3, 5, 8, 9

Sept 15

Day 9

Sept 22

1G – Polygons in Circles
No assignment

Sept 17

Day 10

 

EXAM 1

Sept 20

Day 11

Sept 27

1H – Similarity
pp 48 – 49: 1, 2, 3, 5, 6

Sept 22

Day 12

Sept 29

2A – The Circumcircle
p 55: 1, 3

Sept 24

Day 13

Oct 1

2B – The Centroid
p 59: 1, 2

Sept 27

Day 14

Oct 4

2C – The Euler Line, Orthocenter, and 9-Point Circle
p 66: 1, 2, 3

Sept 29

Day 15

Oct 6

2D – Computations
p 72: 1, 2, 3

Oct 1

Day 16

Oct 8

2E – The Incircle
pp 79: 1, 2, 3, 13, 17

Oct 4

Day 17

Oct 11

2F – Excircles
pp 81 – 82: 1

Oct 6

Day 18

Oct 13

2G – Morley’s Theorem
BlackBoard

Oct 8

Day 19

Oct 15

2H – Optimization in Triangles
BlackBoard

Oct 11

Day 20

Oct 18

3A – Simson Lines
pp 104: 1, 2, 3

Oct 13

Day 21

Oct 18

3B – The Butterfly Theorem
BlackBoard

Oct 15

Day 22

Oct 22

3C – Cross Ratios
p 116: 1, 2

Oct 18

Day 23

Oct 25

3D – The Radical Axis
BlackBoard

Oct 20

Day 24

 

EXAM 2

Oct 22

Day 25

Oct 29

4A – Ceva’s Theorem
pp 130 – 131: 1, 2, 3, 4

Oct 25

Day 26

Nov 1

4B – Interior and Exterior Cevians
pp 135: 1, 2

Oct 27

Day 27

Nov 3

4C – Ceva’s Theorem and Angles
pp 145 – 146: 1, 2

Oct 29

Day 28

Nov 5

4D – Menelaus’ Theorem
pp 153: 1, 2, 3

Nov 1

Day 29

Nov 8

5A – Vectors; 5B – Vectors & Geometry
p 162: 1, 2

Nov 3

Day 30

Nov 10

5C – Dot Products
p 165: 1

Nov 5

Day 31

Nov 12

6A – Geometric Constructions – Rules
p 187: 1, 2, 3, 4, 5

Nov 8

Day 32

Nov 15

6B – Reconstructing Triangles
p 191: 1, 2, 3, 4

Nov 10

Day 33

Nov 15

6C – Tangents
p 196: 1, 2, 3, 4, 5

Nov 12

Day 34

Nov 19

6D – Three Hard Problems
p 203: 1, 2

Nov 15

Day 35

Nov 22

6E – Constructible Numbers
p 208: 1, 2

Nov 17

Day 36

 

EXAM 3

Nov 19

Day 37

Dec 1

Hyperbolic Axiom
BlackBoard

Nov 22

Day 38

Dec 1

Hyperbolic Metric and Poincarι Model
BlackBoard

Nov 24

 

 

NO CLASSES – Thanksgiving Break

Nov 26

 

 

NO CLASSES – Thanksgiving Break

Nov 29

Day 39

Dec 3

Defect and Area in Hyperbolic Plane
BlackBoard

Dec 1

Day 40

Dec 6

Hyperbolic Geometry – Lambert & Saccheri Quadrilaterals
BlackBoard

Dec 3

Day 41

Dec 6

Hyperbolic Geometry – Angle of Parallelism
BlackBoard

Dec 6

Day 42

 

Hyperbolic Geometry
BlackBoard

Dec 8

Day 43

 

Hyperbolic Geometry
BlackBoard

Dec 10

Day 44

 

Review

Dec 15

Day 45

 

Final Exam: 1:00 – 3:00 PM