Math 331 Foundations of Geometry


Fall 2015

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Course Syllabus

DATE ASSIGNMENT 
09/01
Chapter 1 Reading Assignment and Questions [Due:  Thursday 09/03 beginning of class]
Sections 1.1-1.6, p. 10:  #1, 2, 5, 6, 11.  Also use Geometer's Sketchpad to carry out the construction in Euclid's Proof of Proposition 16 (p. 7) [Due 09/10]
09/03
Incidence Geometry
Section 2.4, p. 23 [Don't answer any part of the questions about the parallel postulates.] :  #1, 2, 3, 5, 11, 12[Use examples and previous exercises], Read Section 2.4 [Due 09/10]
09/08
Section 2.4, p. 23:  #2, 5, 7, 8
Math Language and Notation
Section 2.5, p. 31:  #2, 3, 4, 7, 9, 10, 15
09/01 & 09/03 Homework due on Thursday 09/10
09/10
Section 2.5, p. 31:  #12, 14
Proof Templates
Incidence Geometry and Proofs
Section 2.6, p. 34:  #4, 5, 6
09/15
Incidence Geometry Proofs
Continue working on Section 2.6, p. 34:  #4, 5, 6, 7(newly added)
Quiz on Thursday over 2.4 & 2.5
09/17
Quiz 1
No new homework
09/22
Section 3.2, p. 45:  #3, 5, 7, 8, 14
Section 2.6 Homework Due on Thursday 09/24
09/24
Section 3.2, p. 45:  #17, 18, 19, 23(a), 24(a, d, e)
09/29
Plane Separation, Angles, and Triangles
Section 3.3, p. 47:  #1, 2, 3, 5
Section 3.2 Homework Due on Thursday 10/01
10/01
Angle Measure and the Protractor Postulate
Section 3.4, p. 55:  #1[Finish uniqueness]
Section 3.5, p. 62:  #2
10/06
The Crossbar Theorem and the Linear Pair Theorem
No now homework
Quiz on Thursday over Section 3.4
10/08
Quiz 2
Section 3.6, p. 66:  #1, 2
10/13
Review
10/15
Exam 1  Solutions
Exam 1 Take-Home Problems [Due:  Sunday, 10/18 by noon]
10/20
Some Triangle Congruence and Exterior Angle  [Finish the worksheet as homework]
Section 4.1, p. 73 #1
Sketch two triangles that show that SSA is not a valid triangle congruence condition.
10/22
Hypotenuse-Leg Theorem and SSA
Section 4.2, p. 77:  #5
10/27
Finish 2 proofs from class.
Section 4.3, p. 81:  #2, 3, 6
10/29
More on Perpendicular Bisectors and Angle Bisectors
Finish Uniqueness part of the proof on p.2.
Section 4.3, p. 81: #(2, 3, 6), 5, 7, 8
11/03
Transversals and Angle Sums
Finish the proofs on this worksheet. 
Read the text of Sections 4.4-4.5 and summarize the main points.
Section 4.5, p. 87:  #1, 2
Section 4.3 Homework Due on Thursday 11/05
11/05
Section 4.6, p. 90:  Look through the homework and find the definitions of semiparallel, trapezoid, and rhombus.  Write the definitions in your notes with accompanying pictures.
Section 4.6, p. 90:  #1, 2, 4[May use the result(s) of #3], 6[Prove both directions.]
11/10
Section 4.8, p. 103:  #5,8
https://www.cs.unm.edu/~joel/NonEuclid/NonEuclid.html
Quiz on Thursday over Sections 4.4-4.5 (all) and just definitions of Section 4.6.
11/13
Quiz 3
11/17
Review for Exam 2
11/19
Exam 2  Solutions #1-4  Solutions #5-6
Exam 2 Take-Home Problems [Due:  Saturday, 11/21 by 10 am]
11/24
Go over Exam 2
Euclidean Geometry  [Finish #1, 3, 4, 5;  We'll do #2 as a class]

Happy Thanksgiving
12/01
Finish Similar Triangles
Skim Sections 5.1-5.3 to note additional theorems we haven't proved.
12/03
Finish Trigonometry
Triangle Centers
Section 5.6, p. 126: #2, 5, 6, 7
12/08
Euler Line Theorem
Section 5.6 Technology Exercises, p. 129:  #T4, T10
12/10
Review

Click link for Finals Week Schedule and Office Hours
12/14
Monday Reading Day
Optional Math 331 Review Session  10:30 - 11:30
Office Hours  3:30 - 4:30
12/15
Tuesday
Comprehensive Final Exam 8:00am-10:00pm


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