Course: Math 1009 Structure of Number Systems I
Fall 2015
Text: Mathematical Reasoning by Long, DeTemple & Millman, 2015
Description: This course is a study of the basic structure of the real number system, set
theory, basic logarithms, informal geometry, and problem solving. The goal of this course
is to increase the student’s knowledge and understanding of mathematical theories and
concepts. This is not a course in computational arithmetic skills. This course is
recommended for students majoring in elementary or junior high education.
Prerequisite: MTH 0908 and MTH 0909 both with a C or better, or the appropriate score
on a math placement exam.
Instructor: Dan Serafini
E-mail: dan_serafin@ivcc.edu
Office: Will use e-mail to communicate and address questions. Refer to last page for
tentative class schedule, course name and code (MyMathLab), and office hours.
(Note the following grading information is subject to change by the instructor)
GRADING
A
B
C
D
F
Percent
90 – 100%
80 – 89%
70 – 79%
60 – 69%
< 60%
Grade Components (subject to change at instructor’s discretion)
 Exams – four. See missed exam policy.
(approximately 600 points)
 Homework and/or Quizzes
(approximately 100 points)
 Final – 100 points – (accumulative material) (approximately 100 points)
 Projects (3 - 4)
(approximately 200 points)
 Daily Journal
tbd
You are expected to read the text in order to prepare for and build upon lectures that are
conducted during class. It is recommended that you spend two hours of study for each
hour of class time attended. Your daily journal is designed to identify those new
techniques and / or concepts for instructing in mathematics. The daily journal should also
identify any positive or negative instructional techniques that you find of interest.
Expected Learning outcomes & related competencies
Upon completion of the course, the student will be able to:
1. Students will be able to demonstrate knowledge of problem solving techniques.
2. Students will be able to demonstrate knowledge of sets, Whole Numbers, &
Functions.
3. Students will be able to demonstrate knowledge of Whole Number Computation.
4. Students will be able to demonstrate knowledge of Integers and Number Theory.
5. Students will be able to demonstrate knowledge of Rational Numbers as
Fractions.
6. Students will be able to demonstrate knowledge of Decimals, Percent, and Real
Numbers.
(Please refer to the course syllabus on IVCC website for further detail of subcategories)
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Group Work: (If a team project is selected) in a “real world” situation you will likely be
working as part of a team. Since in “real life” situations such teams are not self selected,
I will determine the team membership.
Projects: All projects and group exercises must be completed in a professional manner
(typed) with correct grammar, punctuation, and spelling. Where necessary, additional
handouts or presentation materials may be necessary and will be identified at the
assignment of the project.
MyMathLab online assignments: You will be assigned graded homework assignments
through MyMathLab. These assignments are required and are part of your grade.
Testing Policy: You are expected to take each exam at the scheduled times. However,
if you have an unavoidable absence you may request to take the test at an alternative time
provided you contact me before the exam begins and explain your absence. I will decide
if and when you take your makeup exam. If you request a makeup via email, it is your
responsibility to check your messages for my response. If you do not receive a response
from me within a reasonable amount of time, you MUST follow up with another attempt
to contact me. Failure to follow the policy will result in denial of your request. All makeup exams, unless stated otherwise, will be completed in the Assessment Center within
two days of the exam. If additional time is required, it must first be approved by the
instructor. If an exam is not made-up, the student will receive a zero (0). Exceptions to
the above policy will only be given for situations including, but not limited to, jury duty,
military orders, serious medical problems (you or immediate family member) or a death
of an immediate family member. You MUST be able to provide documentation.
(Acceptable documentation will include such things as an accident report, doctor's note or
hospital discharge papers.) Immediate family member is defined to be a spouse, partner,
parent, grandparent, child, grandchild, sibling, or your spouse's/partner's immediate
family member. These requests will be considered on an individual basis.
Repeated requests for makeup exams WILL REQUIRE that you provide documentation
Any missed exam by the end of the semester will earn a score of zero.
Attendance: Attendance is taken for the purpose of financial aid, state auditing, and
athletic progress reports. If you miss class, it is your responsibility to check the schedule,
secure notes, and work on the practice problems for the section covered that day. No
more than three days of absence is allowed. A fourth absence will result in you being
dropped from the class.
Class Behavior: You are expected to be in class at the appointed time and tardiness will
be addressed. You are not to have telephones on during class. You are expected to respect
your colleagues in class when interacting in the classroom interactions and activities.
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Cheating: A score of zero will be given on any assignment or exam where cheating
occurs. Cheating includes, but is not limited to copying answers off other students’ tests,
submitting another person’s work as your own, and having crib sheets during a test.
Repeated acts of cheating will result in your withdrawal from the course. A telephone
cannot be used as a calculator and all phones must to be shut off during class.
Classroom etiquette: Be courteous of others' rights in the classroom. Each student is
also held to "Student Code of Conduct" as specified in the student handbook. Violation of
this student code may result in withdrawal from the course.
Withdrawals: Withdrawal from this course is not automatic. You will need to initiate a
withdrawal from this course by completing the form in the Records Office or through
webadvisor. IVCC has the right to rescind a withdrawal in cases of academic dishonesty
or at the professor’s discretion. If you do not initiate a withdrawal, you may receive a
grade for this course, which in most cases, is an F.
Cancelled class: Every effort will be made to announce class cancellations in a timely
manner. You can refer to the IVCC web page for class cancellations.
Inclement weather: In the event of bad weather, please listen to your local radio station
or visit the IVCC web page for school closings. If school has not been cancelled, use
your own judgment as to the feasibility of traveling to school.
Grading process: If you do not understand how I graded your work or exam or you
disagree with the number of points earned, you have the right and responsibility to
initiate contact with me about the matter within 2 days of the material being returned to
you.
Graded materials: You are to keep all graded materials for this course until after you
receive your final grade. If there is a clerical error, and you do not receive the grade you
earned, these materials will be needed to resolve this issue. In the absence of these
materials, the professor's record will be assumed to be correct.
Special Needs Educational Support Services: If you are a student with a documented
cognitive (learning disability), physical or psychiatric disability (anxiety, depression,
bipolar disorder, AD/HD, post-traumatic stress, and others) you may be eligible for
academic support services such as extended test time, texts in audio format, note taking
services, etc... If you are interested in learning if you can receive these academic support
services, please contact Tina Hardy (tina_hardy@ivcc.edu, or 224-0284), or stop by the
Disability Services Office in C-211.
If you are a student with a documented cognitive (learning disability), physical or
psychiatric disability (anxiety, depression, bipolar disorder, AD/HD, post-traumatic
stress, and others) you may be eligible for academic support services such as extended
test time, texts in audio format, note taking services, etc... If you are interested in
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learning if you can receive these academic support services, please contact Tina Hardy
(tina_hardy@ivcc.edu, or 224-0284), or stop by the Disability Services Office in C-211.
This course syllabus is subject to change.
Class Schedule: The following is a tentative class schedule. Every attempt will be made
to keep on this schedule. However, unforeseen problems may arise requiring some
adjustments.
SECTIONS COVERED
Section 1.1
Section 1.2
Section 1.3
Section 1.4
Section 1.5
Section 1.6
Section 2.1
Section 2.2
Section 2.3
Section 2.4
Section 3.1
Section 3.2
Section 3.3
Section 3.4
Section 3.5
Section 4.1
Section 4.2
Section 4.3
Section 5.1
Section 5.2
Section 5.3
Section 6.1
Section 6.2
Section 6.3
Section 6.4
Section 7.1
Section 7.2
Section 7.3
Section 7.4
Intro. To Problem Solving
Polya’s Problem-Solving Principles
More Problem-Solving Strategies
Algebra as a Problem-Solving Strategy
Additional Problem-Solving Strategies
Reasoning Mathematically
EXAM CHAPTER 1
Sets and Operations on Sets
Sets, Counting, and Whole Numbers
Addition and Subtraction of Whole Numbers
Multiplication and Division of Whole Numbers
EXAM CHAPTER 2
Numeration Systems Past and Present
Non-decimal Positional Systems
Algorithms for Addition and Subtraction of Whole Numbers
Algorithms for Multiplication and Division of Whole Numbers
Mental Arithmetic and Estimation
EXAM CHAPTER 3
Divisibility of Natural Numbers
Tests for Divisibility
Greatest Common Divisors & Least Common Multiples
Representations of Integers
Addition and Subtraction of Natural Numbers
Multiplication and Division of Natural Numbers
EXAM CHAPTER 4 & 5
Basic Concepts of Fractions and Rational Numbers
Addition and Subtraction of Fractions
Multiplication and Division of Fractions
Rational Number System
EXAM CHAPTER 6
Decimals and Real Numbers
Computations with Rational Numbers
Proportional Reasoning
Percent
EXAM CHAPTER 7
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Tentative Class Schedule
Week
8/18 – 8/20
8/25 – 8/27
9/1 – 9/3
9/8 – 9/10
9/15 – 9/17
9/22 – 9/24
9/29 – 10/1
10/6 – 10/8
10/13 – 10/15
Sections
1.1, 1.2, 1.3
1.4, 1.5, 1.6
Exam C1, 2.1, 2.2
2.2, 2.3, 2.4
Exam C2, 3.1, 3.2
3.2, 3.3, 3.4
3.5, Project 1
Exam C3, 4.1, 4.2
4.2, 4.3, 5.1
Week
10/20 – 10/22
10/27 – 10/29
11/3 – 11/5
11/10 – 11/12
11/17 - 11/19
11/24 – 12/1
12/3
12/08
Sections
5.2, 5.3, Exam 4&5
6.1, 6.2
6.3, 6.4, Project 2
Exam C6, 7.1
7.2, 7.3
7.4, Exam C7
Project 3
Final
My Math Lab
COURSE NAME: MTH 1009 Structure of Numbers 1 2015
COURSE ID: serafini59787
MTH 1009
Monday
Tuesday
MTH 1003
12:00 –
12:50
12:00 –
12:50
11:00 –
11:50
11:00 –
12:15
11:00 –
11:50
01:00 –
01:47
01:00 –
01:47
01:00 –
01:47
12:00 –
12:50
E-325
11:00 –
12:15
11:00 –
11:50
E324
01:00 –
01:47
01:00 –
01:47
E-213
09:30 –
10:45
Friday
Room
MTH 1000
09:30 –
10:45
Wednesday
Thursday
MTH 1004
E-231
Office
Hours
09:00 –
11:00
11:00 –
12:00
02:00 –
3:00
09:00 –
11:00
E-209
Updated July 2015
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