MATH 262.01 Discrete Mathematics Spring 2020

** MWF
11:30-12:20, R 12:30-1:20 in Morton 217 **

**Instructor**

Professor Tom Valente

Office: Bagby 123, ext 6210

Email: **tvalente**

Office hours:

MWR 2:30PM - 4PM

**Textbook **

__Discrete Mathematics with Applications,
4 ^{th} Edition__, by Susanna S.
Epp .

**Course Description**

"Discrete"
Mathematics, unlike Calculus, concerns itself with the study of discrete
objects and functions whose domains consist of discrete objects (for example,
the integers). By "discrete" we mean objects that can be thought of
as disconnected or separated from one another, and therefore do not form a
continuum. Thus we will not study intervals of real numbers per se as we would
in Calculus. Not surprisingly, a vast variety of topics may be studied in a
discrete mathematics course. At the forefront is logic, for it is important to
reason clearly about mathematical arguments in discrete mathematics. In truth
table logic, for instance, the functions (OR, AND, NOT) that are studied have
variables which can be assigned one of two objects, namely "true" and
"false". Since this logic forms the basis of computer circuits, we
see already one specific reason why discrete mathematics is almost universally
required for computer science majors. Other discrete math topics important in
computer science include discrete probability, number theory, mathematical
induction, mathematical sequences and series, correctness of algorithms,
analysis of algorithms, graph theory (in particular, binary trees), finite
automata, and formal language theory. Naturally, we can’t do justice to
every one of these topics this semester. Our goal instead will be to
focus on topics in first eight chapters of our textbook. Finally,
since we meet 4 times per week, there’ll be a few meetings that will not be
simply lectures but ones during which you will present problems.

**Grading **

Your grade will be computed
as follows:

·
In-class tests
(Feb 13^{th}, Mar 20^{th}, Apr 17^{th})
together will count 40% (15-15-10).

You should make every
conceivable effort to be present and prepared for an hour test. The only valid
excuses for missing a test are serious illnesses and unavoidable emergencies
which can be verified. If you foresee that you must miss a test, then you
should make arrangements, before the absence, to take the test. If you miss a
test for a reason that is less than compelling, you will not be allowed to take
the test later.

·
Homework will
count 30%. Many problems will be suggested and a smaller number of them
submitted for a grade. Solutions must be neatly written and at an appropriate
level of rigor for a course like this. (The textbook and my handouts will
have many examples of solved problems). Typically, you should
expect to submit homework problems twice in a week.

·
Classwork will
count 5%. You must attend every class and present problems when asked to.

·
The final exam (Tuesday
April 28 ^{th} at 2PM) will count 25% and will be
comprehensive.

The grades are then assigned
according to the following scale, with plus and minus assigned appropriately:
90%-100%: A; 80%-90% B; 70%-80% C; 60%-70% D; 0-60% F.

**Attendance**

**Each of you is a large percentage of the class so it is imperative that
you attend each class. Anything more than 5 absences, excused or unexcused, may
result in a WF. **