Mathematics 36 - Modern Geometry
Professor Dan Sloughter - Winter 2003

The links for lectures are to Portable Document Format (PDF) files. If you do not have a PDF viewer, click here for information on obtaining and installing a PDF viewer (Acrobat® Reader from Adobe®). All readings are from Geometry: A Metric Approach with Models by Millman and Parker.

Assignments
DateReading LectureProblems
January 6Section 1.1 Axioms and models
January 7Sections 1.2 and 1.3 Sets and functions 1.2: 1, 3, 6, 7, 8, 13, 14, 15, 18, 20
1.3: 1, 2, 5, 6, 7, 8, 12, 15, 18
January 8Section 2.1 Incidence geometry 1, 2, 5, 8, 10, 11, 12, 13, 15, 19, 24, 26, 27
January 9Section 2.2 Metric geometry 2, 4, 5, 6, 7, 9, 10, 11, 12, 13, 14, 15, 17, 18, 19, 20
January 10Section 2.3 Coordinate systems 1, 2, 3, 4, 6
Homework for Tuesday, 14 January - Section 1.2: 6, 8; Section 1.3: 6, 8, 18
January 13Section 3.1 The Cartesian Plane revisited 1, 2, 7, 8, 9
January 14Section 3.2 Betweeness 3, 4, 5, 7, 8, 10, 13
January 15Section 3.3 Line segments and rays 2, 3, 4, 5, 6, 7, 9, 11, 12, 18, 19, 21
January 16
Homework for Monday, 20 January - Section 2.1: 19; Section 2.2: 7, 12; Section 2.3: 2, 4
January 17
No class

January 20Section 3.4 Angles and triangles 1, 5
January 21
Review for Exam # 1
January 22
Exam # 1
January 23Section 4.1 Plane separation axiom 1, 2, 3, 4, 8, 9, 10, 11, 13, 19
January 24Section 4.2 PSA for the Euclidean and hyperbolic planes

January 27Section 4.3 Pasch's postulate 1, 2, 3, 6, 7, 8
January 28Section 4.4 Interiors 1, 3, 4, 6, 9, 10, 12, 15, 17, 21, 23, 26
January 29Section 4.5 Convex quadrilaterals 1, 3, 4, 7, 8, 14
January 30Section 5.1 Angle measure 1, 2, 3, 4, 7
Homework for Monday, 3 February - Section 4.3: 1, 2; Section 4.4: 6, 10, 12
January 31Section 5.2 The Moulton plane 1, 10, 12

February 3Section 5.3 Complementary and supplementary angles1, 2, 3, 4, 5, 6, 7, 9, 10, 11, 13, 14, 16, 17, 18, 20, 21, 23
February 4Section 6.1 Side-Angle-Side 1, 2, 4, 5, 8, 9, 11, 12, 13
February 5Section 6.2 Congruence theorems 1, 2, 3, 4, 5, 6, 7, 12, 14, 15
February 6
Review for Exam # 2
February 7
Exam # 2

February 10Secion 6.3 Exterior angle theorem 3, 4, 5, 8, 9, 10, 11
February 11Section 6.4 Right triangles 1, 2, 4, 5, 6, 7, 8, 10, 13, 14, 15
February 12Section 6.5 Circles 4, 7, 9, 10, 11, 14, 15, 21, 26
February 13Section 7.1 Parallel Lines 1, 2, 3, 6, 10, 11, 13
February 14Section 7.1 Parallel lines (cont'd)
Homework for Tuesday, 18 February - Section 6.3: 4, 8; Section 6.4: 13; Section 6.5: 11, 15
February 17Section 7.2 Saccheri quadrilaterals 1, 2, 3, 4, 5, 6, 7, 9, 10, 11, 20, 22, 23
February 18Secion 7.3 The critical function 2, 10, 11
February 19
Review for Final


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