Math 331 Foundations of Geometry


Fall 2018

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Course Syllabus

DATE ASSIGNMENT 
08/28
Chapter 1 Reading Assignment and Questions [Due:  Thursday 08/30 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 09/06]
Bring your laptops on Thursday
08/30
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 09/06]
Complete the following two GeoGebra Tutorials  Square Construction  and  Circumcircle of a Triangle Construction  [Due 09/06 via email.]
09/04
Section 2.4, p. 23:  #2, 5, 7, 8
Math Language and Notation
Section 2.5, p. 31:  #2, 4, 7, 15
 08/28& 08/30 Homework due on Thursday 09/06
09/06
Section 2.5, p. 31:  #2, 3, 4, 7, 9, 10, 15, 12, 14
Proof Templates
Incidence Geometry and Proofs
09/11
Working Section 2.6, p. 34:  #4, 5, 6, 7
Quiz on Thursday over 2.4 & 2.5
09/13
Quiz 1  Solutions
No New Homework
09/18
Section 3.2, p. 45:  #3, 5, 7, 8
Section 2.6 Homework Due on Thursday 09/20
09/20
Section 3.2, p. 45:  #3, 5, 7, 8, 14, 17, 18, 19, 23(a), 24(a, d, e)
09/25
Review for Exam 1
09/27
Exam 1  Solutions Solution to #4
10/02
Section 3.3, p. 51:  #1, 2, 3
Plane Separation, Angles, and Triangles  [Bring back next time]
10/04
Finish Plane Separation, Angles, and Triangles
Section 3.3, p. 51:  #(1, 2, 3), 5
Angle Measure and the Protractor Postulate [Finished p.1.  Bring back next time]
10/09
Finish Angle Measure and the Protractor Postulate    Powerpoint Version
Section 3.4, p. 55:  #1(Finish Uniqueness)
Section 3.5, p. 61:  #2
10/11
The Crossbar Theorem and the Linear Pair Theorem
Read & Understand the Proof of the Linear Pair Theorem
Section 3.5, p. 61:  #5
10/16
Section 3.6, p. 66:  #1, 2
Some Triangle Congruence and Exterior Angle 
Finish the worksheet, including Section 4.2, p. 77 #1  and Case 2 above.
Section 4.1, p. 73 #1
Sketch two triangles that show that SSA is not a valid triangle congruence condition. i.e.  If you have congruence of SSA, it does not guarantee that the two triangles will be congruent.
Sections 3.3-3.5 Homework Due on Thursday 10/18
10/18
Hypotenuse-Leg Theorem and SSA
Finish proofs from class
Section 4.2, p. 77:  #5
10/23
Finish Case 4 from class
Section 4.3, p. 81:  #6
The quiz will be a take-home quiz this week
10/25
Section 4.3, p. 81;  #(6), 2, 3, 5

Take-Home Quiz 2  [Due:  Wednesday, October 31, 2018 by noon]
Solutions
10/30
More on Perpendicular Bisectors and Angle Bisectors
Finish Uniqueness part of the proof on p.2.
Section 4.3, p. 81: #(6, 2, 3, 5), 7, 8
11/01
Review for Exam 2
11/06
Exam 2  Solutions
11/08
Transversals and Angle Sums
We'll finish the proof on page 4 together next time. 
Read the text of Sections 4.4-4.5 and summarize the main points.
11/13
Section 4.5, p. 87:  #1, 2
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.]
11/15
Section 4.8, p. 103:  #5,8
11/20
Euclidean Parallel Postulate  Powerpoint Version
Euclidean Geometry  [Finish as homework.]

Happy Thanksgiving!!
11/27
Finish Similar Triangles
Skim Sections 5.1-5.3 to note additional theorems we haven't proved.
11/29
Finish Trigonometry
Triangle Centers  [Use GeoGebra instead of GSP.]
12/04
Hyperbolic Geometry Exploration
12/06
Review for Final Exam

Click link for Finals Week Schedule and Office Hours
12/10
Monday Reading Day
Office Hours 11:30am - 12:30pm
12/11
Tuesday
Office Hours 9:00 - 10:30am
12/12
Wednesday
Optional Review Session 12:30 - 1:30pm
Office Hours 3:00 - 4:00pm
12/13
Thursday
Cumulative Final Exam 10:30am - 12:30pm

Old Assignments/Quizzes/Exams Fall 2015

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