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HUDSON VALLEY COMMUNITY COLLEGE
TROY, NEW YORK
Course Outline Cover Page

COURSE TITLE: Mathematical Structures I
COURSE SUBJECT AND NUMBER: Math 130
DEPARTMENT: Mathematics Department
CREDIT HOURS: Three (3)
CONTACT HOURS: 2: 20 to 3:20
SEMESTER COURSE IS OFFERED: Fall only
PREREQUISITES: Two units academic math
TEXT: Mathematical Ideas, 11th ed.
Miller, Heeren, Hornsby .
COURSE FEES: No lab fee
FINAL EXAM/FINAL PROJECT: Final Examination (2 hours min)
IS COURSE OFFERED DISTANCE LEARNING: No
DATE PREPARED: August 2010
PREPARED BY: Camelia Sofrone
COURSE DESCRIPTION: Mathematical Structures I is the first of a two-semester survey course serving Liberal Arts students and other interested non-mathematics and non-science majors. It is designed to supplement the students’ high school mathematics development. Sets, number systems, logic, and bases of numeration systems make up the core of the course.
STUDENT BEHAVIORAL OBJECTIVES: The student will demonstrate an ability to work with set operations and application problems. The student will demonstrate an ability to use symbolic logic to state and prove arguments.

ACTIVITIES AND ASSIGNMENTS: There will be problems assigned for each topic covered in the course. Many topics have additional worksheets that the students are required to complete.
GRADE COMPUTATION: The course grade will be a weighted average based on 10% - homework, 25% -quizzes, 35% - tests and 30% - final exam.
SEMESTER OUTLINE: See attached.
Under the guidelines of the Rehabilitation Act of 1973 and the Americans with Disabilities Act (ADA), the College is required to provide reasonable accommodations to students with disabilities. In coordination with the Disability Resource Center and the Learning Disabilities Specialist, reasonable accommodations will be provided for qualified students with disabilities. If you have a diagnosed disability that might affect your performance in this class, please meet with the instructor as soon as possible. This information will be kept confidential


UNIT I – NUMBER SEQUENCES
DAY SECTION TOPIC ASSIGNMENT
1.1 Solving Problems by Inductive Reasoning pg. 7; 1-33 odd
1.2 An application of Inductive Reasoning:
Number Patterns pg. 17; 1-7 odd, worksheet 1
5.1 Prime and Composite Numbers pg. 230; 1-17 odd, 33-38 all
5.3 Greatest Common Factor and
Least Common Multiple pg. 247; 1-21 odd, 31-41 odd, 50
5.4 The Fibonacci Sequence and the Golden Ratio pg. 262; 1-11 odd, 27, 29
Review pg. 48; 1-9 all
pg. 270; 1-5 all, 7, 8, 13, 14, 16, 17, 20
Test 1

UNIT II – SET THEORY
DAY SECTION TOPIC ASSIGNMENT
2.1 Symbols and Terminology pg. 56; 1-39 odd
2.1 Cont’d pg. 57; 41-49 odd, 53-83 odd, worksheet 1
2.2 Venn diagrams and Subsets pg. 63; 1-33 odd
2.2 Cont’d pg. 64; 35-53 odd, worksheet 2
2.2 Cont’d pg. 64; 55-65 odd, worksheet 3
2.3 Set operations and Cartesian Products pg. 75; 1-39 odd, 47, 49
2.3 Cont’d pg. 77; 55-79 odd
Review pg. 95; 1-27 all, Handout
Test 2
2.3 Venn diagrams pg. 77; 81-107 odd
2.3 Cont’d pg. 78; 111-129 odd, worksheet 4
2.4 Surveys and Cardinal Numbers pg. 82; 1-17 odd
2.4 Cont’d pg. 84; 21, 24, 26, 27, 31, 32, worksheet 5
2.5 Infinite Sets and Their Cardinalities pg. 92; 1-39 odd
Review pg. 96; 29, 30, Handout
Test 3

UNIT III – LOGIC
DAY SECTION TOPIC ASSIGNMENT
3.1 Statements and Quantifiers pg. 103; 1-21 odd, 39-53 odd
3.1 Cont’d pg. 103; 23-31 odd, 65-73 odd, worksheet 1
3.2 Truth Tables and Equivalent Statements pg. 115; 1-6 all, 7-43 eoo,
47-71 odd
3.3 The Conditional pg. 124; 1-51 odd
3.3 Cont’d pg. 125; 55-89 odd
3.4 More on the Conditional pg. 132; 1-49 odd, worksheet 2
Review pg. 156; 1-26 all
Test 4

3.5 Analyzing Arguments with Euler Diagrams pg. 137; 1-19 odd, worksheet 3
3.6 Analyzing Arguments with Truth Tables pg. 151; 1-9 eoo, 27, 29, 33




UNIT IV – MATHEMATICAL SYSTEMS
DAY SECTION TOPIC ASSIGNMENT
4.1
4.2 Roman Numerals
Hindu Arabic System pg. 162 margin, worksheet 1
pg. 177; 1-13 odd
4.3 Conversion Between Number Bases pg. 187; 5-27 odd
4.3 Cont’d pg. 187; 29-53 odd
4.4 Clock Arithmetic and Modular Systems pg. 199; 1-17 odd, 29-39 odd
4.5 Properties of Mathematical Systems pg. 208; 1-10 all
Review pg. 156; 27, 29, 30
pg. 219; 2, 3, 7-12 all, 14, 15,
23-26 all
Test 5
6.1-6.4 Sets of Real Numbers
Properties of Real Numbers pg. 280; 1-13 odd
pg. 293; 45-59 odd
pg. 306; 1-13 odd
pg. 318; 1-13 odd
worksheet 2
Review for Final Exam pg. 340; 1, 2, 3, 10, 18, Handout
Review for Final Exam

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Watervliet Junior Senior High School
Camelia Sofrone