MA 341: Topics in Geometry
Schedule of Topics & Homework
Fall 2009

Aug 26

Day 1

Introduction and a History of Geometry

Aug 28

Day 2

Euclid’s Elements: 1.1 – 1.3
pp 13 – 14: 1 – 4

Aug 31

Day 3

Euclid’s Elements: 1.4 – 1.6
pp 13 – 14: 8 – 10

Sept 2

Day 4

Homework Discussion

Sept 4

Day 5

Axiomatic Systems: 2.1 – 2.5
pp 29 – 30: 2, 4, 5

Sept 7

Day 6

NO CLASSES – Labor Day

Sept 9

Day 7

Axiomatic Systems: 2.6 – 2.7
pp 29 – 30: 7, 8, 10, 11, 12

Sept 11

Day 8

Theorems, Proofs, & Logic: 3.1 – 3.2
p 42: 1, 2, 3

Sept 14

Day 9

Theorems, Proofs, & Logic: 3.3 – 3.4
p 42: 4, 5, 6

Sept 16

Day 10

Theorems, Proofs, & Logic: 3.5 – 3.6
p 42: 8 – 14

Sept 18

Day 11

EXAM 1

Sept 21

Day 12

Real Numbers: 4.1 – 4.4
pp 50 – 51: 1 – 9, 11 – 13

Sept 23

Day 13

Axioms of Plane Geometry: 5.1 – 5.3

Sept 25

Day 14

Axioms of Plane Geometry: 5.4 – 5.5
pp 90 – 93: 1 – 6

Sept 28

Day 15

Axioms of Plane Geometry: 5.6 – 5.7
pp 90 – 93: 7, 8, 11, 12, 13

Sept 30

Day 16

Axioms of Plane Geometry: 5.8 – 5.10
pp 90 – 93: 19, 21, 24, 26, 27

Oct 2

Day 17

Neutral Geometry: 6.1 – 6.3
pp 132 – 134: 2, 7, 9, 13, 17

Oct 5

Day 18

Neutral Geometry: 6.4 – 6.6
pp 132 – 134: 15, 20, 25, 27

Oct 7

Day 19

Neutral Geometry: 6.7 – 6.8
pp 132 – 134: 32, 33, 34

Oct 9

Day 20

Neutral Geometry: 6.9 – 6.10
pp 132 – 134: 41, 42, 43, 46

Oct 12

Day 21

Neutral Geometry

Oct 14

Day 22
            Neutral Geometry

Oct 16

Day 23
             Neutral Geometry

Oct 19

Day 24
            Neutral Geometry

Oct 21

Day 25
           Neutral Geometry

Oct 23

Day 26

Euclidean Geometry: 7.1 – 7.4
pp 156 – 158: 2, 3, 4, 9, 13

Oct 26

Day 27

Euclidean Geometry:

Oct 28

Day 28

MIDTERM

Oct 30

Day 29

Euclidean Geometry: 7.5 – 7.7
pp 156 – 158: 18, 19, 20, 24, 28

Nov 2

Day 30

Hyperbolic Geometry: 8.1 – 8.3
pp 191 – 193: 1 – 5, 13

Nov 4

Day 31

Hyperbolic Geometry: 8.4
pp 191 – 193: 1 – 5, 13

Nov 6

Day 32

Hyperbolic Geometry: 8.5 – 8.6
pp 191 – 193: 1 – 5, 13

Nov 9

Day 33

Area: 9.1 – 9.2
pp 221 – 224: 4, 5, 8, 11, 22

Nov 11

Day 34

Area: 9.3 – 9.4
pp 221 – 224: 4, 5, 8, 11, 22

Nov 13

Day 35

Area: 9.5
pp 221 – 224: 4, 5, 8, 11, 22

Nov 16

Day 36

Circles: 10.1 – 10.4
pp 259 – 261: 1, 2, 3, 6, 8

Nov 18

Day 37

Poincarι Disk Model
Class notes available on Blackboard

Nov 20

Day 38

Poincarι Disk Model
Class notes available on Blackboard

Nov 23

Day 39

EXAM 2

Nov 25

Day 40

NO CLASSES – Thanksgiving Break

Nov 27

Day 41

NO CLASSES – Thanksgiving Break

Nov 30

Day 42

Poincarι Disk Model
Class notes available on Blackboard

Dec 2

Day 43

Poincarι Disk Model - Hyperbolic Trigonometry
Class notes available on Blackboard

Dec 4

Day 44

Poincarι Disk Model  - Hyperbolic Trigonometry
Class notes available on Blackboard

Dec 7

Day 45

Poincarι Disk Model - Hyperbolic Trigonometry
Class notes available on Blackboard

Dec 9

Day 46

Poincarι Disk Model - Hyperbolic Trigonometry
Class notes available on Blackboard

Dec 11

Day 47

Poincarι Disk Model - Hyperbolic Analytic Geometry
Class notes available on Blackboard

Dec 16

Final Exam: 1:00 – 3:00 PM