Math 440. Modern Geometry
Second Homework Assignment
Fall 2010
The second assignment.
1. Exercise 1.10 (page 14).
2. Read sections 3.4 and 3.5. Then do exercises 3.1, 3.4, and 3.6.
3. Read Chapter Four and do exercises 4.1 to 4.6, 4.9, 4.13, and 4.14.
1.1
Math 440. Modern Geometry
Solutions for Homework #5
Fall 2010
Assigned: For each of the theorems 3.6.3 through 3.6.8, go through the process described by
rules I.1-I.5 in the handout Temporary Requirements for Proofs. That is, write the statement
in "usef
Math 440. Modern Geometry
Exam 1 - Solutions
Fall 2010
1. State the three competing parallel postulates (elliptic, hyperbolic, and Euclidean) and
their negations. [For full credit on the negations, you must "push through" the negation
as far as possible.]
Math 440. Modern Geometry
Solutions for Homework #3
Fall 2010
Assigned: Exercises 2.1 (just the first question and the corresponding "explain"), 2.3, 2.5
(just the first question), 2.6, and 2.11.
Solutions.
2.1 (4 points) The statement "for every pair of
The first assignment.
Restate each of Euclid's Propositions 6-15 along the lines discussed in Section 3.3. Use a
conditional form whenever feasible. Also be sure to use quantification [there exist(s) and for
every] correctly and as often as called for. Fo
Math 440. Modern Geometry
Solutions for Homework #9
Fall 2010
Assigned: 5.6, 5.9, 5.11, 5.12, 5.16, 5.18, 5.19, 5.24, and 5.26
Solutions.
5.6. (4 points) Let P and Q be any two distinct points. By the Incidence Postulate and the
Ruler Postulate there exis
Math 440. Modern Geometry
Solutions for Homework #8
Fall 2010
Assigned: Exercises 5.1 through 5.5.
Solutions.
1. For this exercise we deal with the function defined by
Let P = (x1, y1) and Q = (x2, y2) be any two points.
(1) From algebra we know that (x2
The first assignment.
Restate each of Euclid's Propositions 6-15 along the lines discussed in Section 3.3. Use a conditional
form whenever feasible. Also be sure to use quantification [there exist(s) and for every] correctly and as
often as called for. Fo
Math 440. Modern Geometry
Fall 2010
Second Homework Assignment
The second assignment.
1. Exercise 1.10 (page 14).
2. Read sections 3.4 and 3.5. Then do exercises 3.1, 3.4, and 3.6.
3. Read Chapter Four and do exercises 4.1 to 4.6, 4.9, 4.13, and 4.14.
1.1
Math 440. Modern Geometry
Fall 2010
Solutions for Homework #3
Assigned: Exercises 2.1 (just the first question and the corresponding "explain"), 2.3, 2.5 (just the first
question), 2.6, and 2.11.
Solutions.
2.1 (4 points) The statement "for every pair of
Math 440. Modern Geometry
Fall 2010
Solutions for Homework #4
Assigned: Decide which parallel postulate Young's geometry satisfies. Then do exercises 2.2, 2.5 (the
second question), 2.9, and 2.12.
Solutions.
1. (2 points) Young's Geometry satisfies the Hy
Math 440. Modern Geometry
Fall 2010
Solutions for Homework #5
Assigned: For each of the theorems 3.6.3 through 3.6.8, go through the process described by rules I.1-I.5
in the handout Temporary Requirements for Proofs. That is, write the statement in "usef
Math 440. Modern Geometry
Fall 2010
Solutions for Homework #8
Assigned: Exercises 5.1 through 5.5.
Solutions.
1. For this exercise we deal with the function
defined by
Let P = (x1, y1) and Q = (x2, y2) be any two points.
(1) From algebra we know that (x2
Math 440. Modern Geometry
Fall 2010
Solutions for Homework #9
Assigned: 5.6, 5.9, 5.11, 5.12, 5.16, 5.18, 5.19, 5.24, and 5.26
Solutions.
5.6. (4 points) Let P and Q be any two distinct points. By the Incidence Postulate and the Ruler Postulate
there exis
Math 440. Modern Geometry
Fall 2010
Solutions for Homework #11
Assigned: 5.13, 5.17, 5.20, 5.23, and 5.28
Here are some valid solutions. Yours did not have to be the same, nor did they have to "look pretty". I
graded for mathematical content only, provide
Rob Forsythe's Schedule Fall 2010
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Math 236 - 001
Calculus I
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Math 236 - 001
Calculus I
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Math 236 - 001
Calculus I
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Math 236 - 001
Calculus I
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