Math 1312
Introduction to Mathematical Reasoning
Section 23888 MWF 11:00 am – 12:00 pm SR
116
Instructor: Irina
Perepelitsa
Email: irina@math.uh.edu
Website: www.math.uh.edu/~irina
Office hours: MWF 12:15 to 1:15 pm in CASA (222 Garrison)
Text: Elementary Geometry for College Students, Daniel Alexander and Geralyn Koeberlein, 5th edition, Brooks/Cole CENGAGE learning, 2011/2007, ISBN-10: 1-439-04790-1 and ISBN-13: 978-1-439-04790-3. (NOTE: These are ISBN numbers for not two different but the same book)
Prerequisites: Credit or placement out of M 1310 or M
1311
Supplies:
Fall 2010 Syllabus
Chapter 1 —Line and Angle Relationships
1.1 Sets, Statements and Reasoning
1.2 Informal Geometry and Measurement
1.3 Early Definitions and Postulates
1.4 Angles and Their Relationships
1.5 Introduction to Geometric Proof
1.6 Relationships: Perpendicular Lines
1.7 The Formal Proof of a Theorem
Chapter 2 — Parallel Lines
2.1 The Parallel Postulate and Special Angles
2.2 Indirect Proof
2.3 Proving Lines Parallel
2.4 The Angles of a Triangle
2.5 Convex Polygons
2.6 Symmetry and Transformations
Chapter 3 —Triangles
3.1 Congruent Triangles
3.2 Corresponding Parts of Congruent Triangles
3.3 Isosceles Triangles
3.4 Basic Constructions Justified
3.5 Inequalities in a Triangle
Chapter 4 — Quadrilaterals
4.1 Properties of a Parallelogram
4.2 The Parallelogram and Kite
4.3 The Rectangle, Square and Rhombus
4.4 The Trapezoid
Chapter 5 — Similar Triangles
5.1 Ratios, Rates and Proportions
5.2 Similar Polygons
5.3 Proving Triangles Similar
5.4 Pythagorean Theorem
5.5 Special Right Triangles
5.6 Segments Divided Proportionally
Chapter 6 — Circles
6.1 Circles and Related Segments and Angles
6.2 More Angle measures in a Circle
6.3 Line and Segment Relationships in the Circle
6.4 Some Constructions and Inequalities for the Circle
Chapter 8 — Areas of Polygons and Circles
8.1 Area and Initial Postulates
8.2 Perimeter and Area of Polygons
8.3 Regular Polygons and Area
8.4 Circumference and Area of a Circle
8.5 More Area Relationships in the Circle
Chapter 9 — Surfaces and Solids
9.1 Prisms, Area and Volume
9.2 Pyramids, Area and Volume
9.3 Cylinders and Cones
9.4 Polyhedrons and Spheres
SUGGESTED HOMEWORK
|
Section |
Exercises |
|
1.1 |
# 3, 4, 13, 15, 17, 25, 27, 29, 33, 34, 41, 43, 55 |
|
1.2 |
# 3-7, 9, 11-15, 19, 21, 24, 34, 35-39, 41-43, 46 |
|
1.3 |
# 1-6, 11, 14-17, 25, 29, 31 |
|
1.4 |
# 1, 3, 5-8, 10-13, 15, 17, 19, 21, 25, 31, 34 |
|
1.5 |
# 7-10, 11, 14, 15, 17, 25, 29 |
|
1.6 |
# 1, 3, 5, 8, 9, 11 |
|
1.7 |
# 11-24, 25, 29 |
|
2.1 |
# 1-4, 9, 11, 13, 15, 19 |
|
2.2 |
# 1-8, 19, 20, 21 |
|
2.3 |
# 1-3, 7-14, 17, 18, 24-26 |
|
2.4 |
# 1-4, 7-10, 13-19, 24, 28, 36, 37 |
|
2.5 |
# 5-18, 31, 42, 43 |
|
2.6 |
# 1, 5, 7, 13, 23, 29 |
|
3.1 |
# 1, 9-1214, 15, 17, 19, 25-27, 31 |
|
3.2 |
# 1-6, 10, 12, 15, 17, 20, 22, 24 |
|
3.3 |
# 5-8, 21-23, 29, 34, 35 |
|
3.4 |
# 1, 2, 5, 7, 8, 27 |
|
3.5 |
# 1-7, 11-18, 25 |
|
4.1 |
# 3, 5, 7, 9, 21, 22, 24, 33 |
|
4.2 |
# 1, 7, 9, 11, 12, 19, 25-29 |
|
4.3 |
# 1, 3, 5, 9, 13, 16, 17, 24 |
|
4.4 |
# 11-14, 17, 25 |
|
5.1 |
# 5-13 odd, 21, 22, 29, 33 |
|
5.2 |
# 5, 6, 9, 10, 13, 15, 17, 19, 21-24, 29 |
|
5.3 |
# 5-15, 17, 21, 24, 25, 37 |
|
5.4 |
# 7-10, 13, 17, 21, 24 |
|
5.5 |
# 1-4, 7, 9, 11, 12, 15, 20 |
|
5.6 |
# 3, 6, 7, 10, 11, 15, 17, 24, 25 |
|
6.1 |
# 1-6, 11, 13, 31 |
|
6.2 |
# 1-3, 7, 9, 10, 13, 17 |
|
6.3 |
# 1, 3, 7-12, 17-20, 22 |
|
6.4 |
# 3-6, 19, 20, 23, 27 |
|
8.1 |
# 9-24 |
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8.2 |
# 1-3, 5, 6, 9, 13-16, 23 |
|
8.3 |
# 1-3, 7, 13, 17, 21, 24 |
|
8.4 |
# 1, 2, 5, 7, 9, 13, 21, 22, 25, 34 |
|
8.5 |
# 1, 3, 13, 28 |
|
9.1 |
# 1, 7, 15, 16, 20, 23, 25 |
|
9.2 |
# 5, 7, 9, 20, 21, 23, 27 |
|
9.3 |
# 3, 7, 13, 21, 23, 26 |
|
9.4 |
# 15, 29, 30 |