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Course Syllabus

Please send E-mail to: sgrone@ocean.edu

Mathematics Department

Course Title:   Professor Shirley Grone
 
I. Course Title: MATH151 - DL1 A Survey of Mathematics  3 S.H.

II. Description: This course is for students who want a general knowledge of liberal arts mathematics.   Topics include sets, logic, probability and group theory.  Proctored exams are required in this course.  The tests are taken at the OCC Testing center or at a prearranged site.

III. Prerequisite: M012 - Remedial Algebra II or Algebra Placement with no remediation.

IV. Course Objectives:
            1.    To present a course in elementary liberal arts mathematics which may be a first
                    mathematics course in a students college eduction.

            2.    To present an authentic image of the art of mathematics and to develop the intellectual
                    capacity to use  mathematics in a broad manner.

            3.    To give an overall perspective of mathematics and an insight into the intrinsic nature of
                    mathematics as a human enterprise.

            4.    To concentrate on a number of general mathematical themes or ideas through the use
                    of logical  methods, mathematical structures and set theory.
 

V. Course Content:

A.     Sets

    1.    Definition and concept of a set, notation, and the terminology used in set theory
    2.    Definition of a subset and the symbols used
    3.    Cardinality of a set and one to one correspondence
    4.    Set operations; union and intersection
    5.    Complement of a set and the use of parentheses in set arithmetic
    6.    Venn Diagrams
    7.    Venn Diagrams with three sets and verification of equality of sets
    8.    Applications of sets
    9.    Infinite sets, countable sets, and infinite sets

B.    Logic

    1.    Definition of a statement, logical connectives, and their symbols
    2.    Truth tables for negation, conjuntion, and disjunction
    3.    Truth tables for the conditional and biconditional
    4.    Equivalent statements
    5.    Symbolic Arguments
    6.    Valid arguments and the definition of a tautology
    7.    Euler Circles and Syllogistic Arguments

C.    Probability

    1.    Definition of theortical probability and inferential probability
    2.    Definition and use of a sample space
    3.    Probability formula for equiprobable sample spaces
    4.    Applications to simple situtations such a picking one card from a deck of cards
    5.    Introduction and application of the Fundamental Counting Principle
    6.    Constructing equiprobable sample spaces using a listing method or a tree diagram
    7.    Definition and use of odds
    8.    Definition and use of expected value with a formula to calculate expected value
    9.    Probability of event A and event B, probability of event A or event B
  10.    Mutually exclusive events and not mutually exclusive events

D.     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.    Definition of a numeral
    2.    Additive systems, Egyptian numerals, Hindu-Arabic numerals, Roman numerals
    3.    Ciphered systems
    4.    Multiplicative systems

VI. Textbook: A Survey of Mathematics with Applications, Seventh Edition by
                                   Allen R. Angel , Addison-Wesley, 2005, and the solutions manuel ISBN 0-321-27783-X

or A Survey of Mathematics with Applications, Custom Edition for Ocean County College by
Allen R. Angel , Addison-Wesley, 2005, and the solutions manuel ISBN 0-321-27783-X

VII. Necessities: Each student will need reliable access to a computer and the Internet in order to participate in the course. Operational skills for the computer and Internet are presumed.

VIII. Semester Schedule:

IX. Instructor: PROFESSOR SHIRLEY GRONE
                                       RUSSELL BUILDING, ROOM R116

      Telephone: (732) 255-0400, Ext. 2357
      E-mail: sgrone@ocean.edu

X. Additional Exam Information:This instructor requires that all tests are administered in a proctored environment.

XI. Additional Information: If there is any student in this class who has special needs because of learning disabilities or other kinds of disabilities, please feel free to come and discuss this with me.
 
 

GRADING SCALE:

To determine your average, list each test grade twice, except for the lowest.  The lowest is written once.  Add the test grades up and divide by the number of grades(9). Do not round. Divide to the nearest whole number.

Statement of Plagiarism: Students should refer to the student handbook and review Policy #5180.  Consider defining plagiarism. Plagiarism is the presentation of the work of others as your own; it is not limited to copying the work of another student.  Copying from Encyclopedias or texts and cutting and pasting the work of others from Internet sources often are not considered plagiarism by many students; they are forms of plagiarism.  You must paraphrase such material in your own words and cite the source you obtained the material from when writing a paper.  You must also paraphrase material from a text in an open book exam rather than copying sections into an answer.  If you do present someone else’s work verbatim, you must frame it in quotation marks and cite the source in a footnote.  Such quotations should be used sparingly as a paper should be primarily your work rather than a string of quotations.

Course Etiquette: All cell phones and pagers should be turned off in class. Students should arrive on time for class and should respect classmates by not engaging in conversations while others are speaking in class.  Films are intended as an educational experience and should not be viewed as a time to absent oneself from class or to engage in conversation. When you take part in a group activity, please respect other group members and be prepared to do your fair share.  Please contact group members via course e-mail if you are unable to complete your part in a group assignment so that the group can compensate accordingly.

Campus resources and services:

Tutoring is available in the Writing Lab if you require help with writing a paper.  (Contact Mrs. Boese (first floor Russell Building) for an appointment.)  The Disabilities Resource Center (second floor library) provides testing and counseling if you think that you may have a learning problem.  The Multipurpose Computer Lab (third floor Library) is available for writing papers and has many specialized programs (e.g. Text enlargement) as well.  The Counseling Center provides academic and personal counseling. In addition, Student Success Seminars are scheduled each week and are posted on the college website (www.ocean.edu) under “Campus Resources and Services.”  See the College website for information on WebAdvisor which provides access to course schedules, registration, and grades and Campus Cruiser which provides free e-mail for all students.

Disclaimer:  The schedule and procedures described in this course outline are subject to change depending upon the needs of the class.   

Prepared: January, 2006
Revised: July, 2008 {cj}