SYLLABUS – MATH 151- SPRING 2011
Professor:
Phone:
e-mail:
Professor Grone
732-255-0400 ext. 2357
sgrone@ocean.edu
Office: R116
Course Number and Title: Survey of Mathematics, MATH 151
Dates, room and times:
Classes begin Monday, January 24, 2011. The last day of class is
Monday, May 16, 2011.
Section 03: Monday and Thursday 9:30 a.m. – 10:45 a.m. R107
Section 15: Tuesday and Friday
12:30 p.m. – 1:45 p.m. R108
Days off: Monday, February 21, 2011, Monday, March 14 – Sunday, March 20, 2011
Withdrawals:
All withdrawals must be initiated by the student. A grade of F is assigned to a
students who stops completing tests and does not request a withdrawal by the
deadline. The last day to withdraw from the course with a grade of W is
Monday, April 4, 2011. The signed Add/Drop form must be submitted to the
Office of Admissions and Records before the end of the business day on
April 4, 2011.
Office Hours:
Mon. –Thurs.
Tues. -Fri.
Wed.
11:00 a.m. – 11:50 a.m.
9:30 a.m. – 10:20 a.m.
10:00 p.m. – 10:50 p.m.
R116
R116
R116
To arrange a meeting with your instructor in addition to the regularly scheduled office
hours, please contact your instructor directly or contact the Department of Mathematics.
Phone: 732 - 255 – 0368 or e-mail: latanasio@ocean.edu.
If there is any student who feels that he or she may need an accommodation for any type
of disability, please see me individually. Feel free to discuss all special needs with me. I
would welcome the opportunity to help all of you in anyway possible. You may also
discuss special needs with a staff member of Disability Services.
Course Description:
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This is a mathematical course for liberal arts students. Topics include sets,
probability, logic, systems of numeration, groups, and mathematical systems. This is a
writing intensive course in which students write essays totaling 1200 words (minimum).
Students’ essays must be maintained in a folder and may be used for college assessment
purposes. There will be two mandatory writing assignments. You will submit each
writing assignments a hard copy and also electronically. Each faculty member will
provide a rubric for scoring student essays and information about the impact of the
graded writing on the final course grade.
Individuals should not assume that anything received, sent, or stored in this
course or in any course is private. Students’ written work, assignments, and test results
may be used anonymously for college assessment purposes. Course Content, support
materials, and communications (including chats, discussions, emails, and any other forms
of communication).
Required Text
Math in Our World, 2th Edition, ISBN 9780077457730, by Sobecki, Bluman and
Schirck-Matthews published by McGraw Hill
Technology:
This book comes with software called MATHZONE. This software contains
videos, practice problems, quizzes and tests. You will be given some homework
assignments and quizzes in MATHZONE. These assignments will count as 10% of your
final grade. I will give you an access code in class.
Course Learning Outcomes/Objectives
a.
b.
c.
d.
e.
f.
g.
h.
i.
j.
k.
l.
m.
n.
o.
p.
Describe the meaning of the word set
Use the proper terminology and symbols associated with the study of sets
Use Venn diagrams to sort information and analyze problems
Use the proper terminology and symbols associated with the study of logic
Write compound verbal statements in symbolic form
Use truth tables to analyze compound statements
Determine whether an argument is valid or invalid by means of a truth table
Determine the probability of a single event or a series of events
Use a tree diagram to determine the sample space for an experiment
Determine the odds in favor of or against an event
Determine the mathematical expectation of an event
Perform mathematical operations using clock arithmetic
Identify the characteristics of a mathematical system
Perform mathematical operations in various modular systems
Perform mathematical operations with various ancient number systems
Perform mathematical operations in various bases
Educational Statement:
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Your primary concern in taking this course is probably that you will receive a high
quality course which will be readily transferred to a four-year college or university. It is
my objective to provide such a course for you and I will do my best to achieve this
objective. You are paying your hard-earned money for this class and you deserve
nothing but a high quality college level course. With this in mind you should anticipate a
demanding course, which will require you to make a commitment of quality time. I
anticipate that you should allocate 12 to 15 hours per week outside of class to fully
benefit from the educational opportunities available in this course and which will confirm
it as part of your quality education. I wish you a high level of success in the course and I
stand ready to assist you in any way possible or to provide individual accommodations as
necessary. Please feel free to make extensive use of my office hours. Your education
and academic success are very important to me.
Course Standards
1.
At least 4 tests are given in this course.
2.
To compute your average, the lowest of the tests is added once and
each of the other test scores is added twice. Your homework /quiz grade will
only be added once. Divide by the total number of grades, do not round. The
final grade is determined according to the following system:
90– 100
A
88– 89.9
B+
80-87.9
B
78 – 79.9
C+
70 – 77.9
C
65- 69.9
D
0 – 64.9
F
Attendance:
10% class cuts are permitted but not encouraged. Good grades often are related to good
class attendance. My advice, “Don’t miss class.” I may drop you from the course if you
miss more than 10% of the classes.
Withdrawals:
All withdrawals must be initiated by the student and completed by midsemester. A
student who wishes to withdraw should first confer with me. If the student then decides
to withdraw, he/she should obtain my signature on the proper withdrawal form. Students
who simply stop attending class may be assigned a grade of F.
Make Up Tests: (Very important – please read carefully!)
In general make up tests will not be given. All students are expected to take tests on the
day scheduled during the normal class period unless other arrangements are made in
advance. It is very important to realize that missing a test is a serious
situation; a zero grade will be recorded.
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If for some valid reason, you are delayed in arriving for the test, please contact me
immediately and it may be possible to take the test later that day. I will judge the validity
of your reason when you call.
If there is a serious situation (hospitalization, death in family or the like) that prevents
you from taking the test, you should contact me immediately. You must contact me by
the day of the test not the day after the test. My voice mail can be accessed 24 hours a
day by using extension 2357. Leave a phone number where I can reach you. You must
meet with me upon your return to school, and present written documentation for your
absence.
Please keep in mind, that only extraordinary circumstances will warrant the taking of a
make up test and that written documentation will be required.
Course Outline
A.
Sets
1.
2.
3.
4.
5.
6.
7.
8.
9.
B.
Definition and concept of a set, notation, and the terminology used in set theory
Definition of a subset and the symbols used
Cardinality of a set and one to one correspondence
Set operations; union and intersection
Complement of a set and the use of parentheses in set arithmetic
Venn Diagrams
Venn Diagrams with three sets and verification of equality of sets
Applications of sets
Infinite sets, countable sets, and infinite sets
Logic
1.
2.
3.
4.
5.
6.
7.
Definition of a statement, logical connectives, and their symbols
Truth tables for negation, conjunction, and disjunction
Truth tables for the conditional and biconditional
Equivalent statements
Symbolic Arguments
Valid arguments and the definition of a tautology
Euler Circles and Syllogistic Arguments
C. Probability
1.
2.
3.
4.
5.
Definition of theoretical probability and inferential probability
Definition and use of a sample space
Probability formula for equiprobable sample spaces
Applications to simple situations such a picking one card from a deck of cards
Introduction and application of the Fundamental Counting Principle
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6.
7.
8.
9.
10.
D.
Constructing equiprobable sample spaces using a listing method or a tree diagram
Definition and use of odds
Definition and use of expected value with a formula to calculate expected value
Probability of event A and event B, probability of event A or event B
Mutually exclusive events and not mutually exclusive events
Mathematical Systems
1. Definition of a mathematical system
2. Modular arithmetic and the definition of equivalence using examples such as
clocks or days of the week
3. Solving equivalence problems and applications
4. Groups and Abelian groups along with applications
E. Systems of Numeration
1.
2.
3.
4.
Definition of a numeral
Additive systems, Egyptian numerals, Hindu-Arabic numerals, Roman numerals
Ciphered systems
Multiplicative systems
5. Bases
Calculators:
Calculators may be used for this course. They will be used for computational purposes
only. Any basic calculator will be adequate.
Proper Classroom Behavior:
1.
Please avoid private conversations during the class period since this is distracting
and disturbing to other students. Even if your private conversations are relevant to our
discussion, I will not be able to allow it to continue since it is unfair and discourteous to
your fellow students.
2.
Please treat all students in the class with respect and consideration. I encourage
all students to participate in class discussions and expect them to be treated properly.
Humorous comments should never be made at another person’s expense. At no time will
I allow any student to be treated disrespectfully.
3.
Please arrive for class on time. A late arrival tends to disrupt the class and
distract all of us. If you believe you have some extenuating circumstance affecting your
arrival time, please see me privately.
4.
Please expect to stay for the entire class period. If at any time you are forced to
leave early, please try to see me before the start of class.
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5.
Please avoid the practice of an early “pack-up time” at the end of class. I find this
extremely distracting and other students will complain to me about it. I rarely go over
time, so you can normally expect to be out of class on time. However, please keep in
mind that I will determine the end of the class period, and I expect your attention and
participation until that occurs.
6.
Please turn off all cell phones, beepers, pagers, or any other devices, which could
disrupt the class.
7.
If an individual were to repeatedly disregard any of the above requirements, I
would be forced to ask him/her to leave the class for the benefit of all the students. I will
do my best to provide a high quality educational atmosphere conducive to learning
mathematics.
If you have any questions on these procedures or if at any time you find some aspect of
the class to be distracting or disturbing to you, please see me individually as soon as
possible. All of your concerns will be kept confidential.
Statement of Plagiarism:
Students should review Policy # 5180. This information can be found in the Student
Handbook Planner. Cheating on a test is considered a major offense and will be reported
to the Dean of Mathematics, Science and Technology and the Dean of Special Services
for further action.
Campus Resources and Services:
Tutoring is available in the Mathematics Tutoring Center and in the Writing Lab.
Ocean Cruiser:
I post homework assignments, powerpoints, links to videos, grades and attendance on
Ocean Cruiser. Please check Ocean Cruiser on a regular basis. If you are absent for a
class, you can access the assigned homework. Ocean Cruiser is the official email
communication for students at OCC (firstname_lastname@occ.mailcruiser.com)
Disclaimer:
Reasonable changes to this course information sheet may be made exclusive of course
requirements, course calendar and grading procedures. All individuals should not assume
that anything received, sent, or stored in this course or in any course is private. Students’
written work, assignments, and test results may be used anonymously for college
assessment purposes. Course content, support materials, and communications (including
chats, discussions, emails, and any other forms of communication) may be used for
quality assurance purposes by authorized college administrators.
Please note: Failure to pay for this course may result in your being dropped for
non-payment.
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