SYLLABUS FOR MATH 3312 (CRN
21018) ¾
SET THEORY ¾
SPRING 2004
Instructor: Dr. Linda Becerra Office: S-707 E-mail:
BecerraL@uhd.edu
Office phone: 713-221-8643 Dept. Fax:
713-221-8086 Web Site:
http://cms.dt.uh.edu/Faculty/BecerraL
Office hours:
Course description: Topics from sets and set operations,
relations and their properties, partitions of sets and equivalence relations,
axioms of set theory, partially and totally ordered sets and their properties,
mappings, cardinals and ordinals; 3 credit hr course.
Course prerequisite: Math
2305 (Discrete Math).
Textbook: Schaum’s
Outline of Theory and Problems of Set Theory, Second Edition, by Seymour
Lipschutz, McGraw-Hill Publishing Co., 1998.
Course grade: Your course average will be determined
by two major tests (25% each), a comprehensive final exam (25%), and hw/projects
(25%). Course grades correspond to course averages as follow: “A” (90-100), “B”
(80-89), “C” (70-79), “D” (60-69) and “F” (0-59).
Homework/Projects: Practice problems will be regularly assigned
to help you gain conceptual understanding, and to develop your proof skills and
computational skills. At least one writing project will be assigned for the
semester.
Tests: Many test questions will be similar to
practice exercises and problems done in class.
Please
remember that as a member of the UHD academic community you are bound to
observe the Academic Honesty Code
(see the UHD Student Handbook) in all your school work. A grade of 0 will be
given on any coursework where cheating occurs; more severe penalties may result
depending on the violation.
Class attendance/Make-ups:
Please plan to attend each and every class meeting; you will find it
difficult to successfully complete the course if you don't. Please be on time
for class and plan to stay for the entire class; let me know in advance when
you cannot do this. Plan to be active with your book, assignments and your
classmates—the material will not come to you, you must seek it. You benefit
most from class when you come prepared: before each class, you should study the
book and do some practice problems, regardless if a homework assignment is
explicitly made. Whenever you miss class, it is your responsibility to check on
the material covered, if assignments were made and the due dates. Check my web
page regularly to keep up with class assignments and for other course
information. Late assignments will not be accepted. Missed classes, even for
valid reasons, do not entitle you to turn in work late, unless prior arrangements are made. Any missed
grades will be recorded as zeros. Make-up tests will not be given. If you miss
a test, that grade will be replaced by your final exam grade.
Note the last day to withdraw with a course grade of “W” is
Thursday, March 25. If you do not complete the course
requirements and do not officially withdraw, you will receive a course grade of
“F.”
Resource materials/Course
success: Your questions
are always welcome in class, but there may not be enough time to answer all of
them. You can get additional help during my office hours, as well as with
anything else related to the course.
As your instructor, my most important responsibility is to
help you learn; but how much you learn is really up to you and a responsibility
you cannot leave to someone else. If you are not willing to try, I cannot help
you. Most importantly, take charge of your own learning; you are your own best
teacher. To learn effectively, you must become aware of what type of learner
you are. I will do everything within my power to help you succeed in the
course, and whenever you have a suggestion on the course, please let me know.
Ultimately, it is your choice of actions that will determine your success in
this course.
Statement on reasonable
accommodations: UHD
adheres to all applicable federal, state, and local laws, regulations, and
guidelines with respect to providing reasonable accommodations for students
with disabilities. Students with
disabilities should register with Disabled Student Services (S409) and contact
me in a timely manner to arrange for appropriate accommodations.
Educational objectives: At the end of the course, a student
should be able to: (1) give examples of set relations (mappings) and be
familiar with some of their properties; (2) give examples of equivalence
relations and be familiar with some of their properties; (3) be familiar with some axioms of set theory; (4)
describe the properties of partially and totally ordered sets and give
examples; (5) be familiar with the definition of cardinal numbers and some of
their properties; (6) be familiar with the definition of ordinal numbers and
some of their properties; (7) construct correct proofs of some set theoretic
propositions.
Tentative Test Schedule
Test 1 March 11
Test 2 April 20
Final Exam Tuesday, May 11,