MWF 1:00

- Course Description
- Assignments
- Summaries of lectures (discontinued as of 2/5/99)
- Some www sites related to logic and set theory.
- Some www sites related to history of mathematics.

Last updated: 1/20/99

OFFICE: Library 48 PHONE:826-4950

Office Hours (Tent.)- M-F 9:15-10:10 AND BY APPOINTMENT or chance!

E-MAIL: flashman@axe.humboldt.edu WWW: http://www.humboldt.edu/~mef2/

**TEXTS:*** The Keys to Advanced Mathematics : Recurrent
Themes in Abstract Reasoning *by Daniel Solow ( Paperback, Books
Unlimited,1995 )
*Set Theory and Related Topics* 2nd Ed'n by Lipschutz (McGraw-Hill
SOS,1998) (Unexpected!)
*How to Solve It* by G. Polya (Princeton, 1988)

**SCOPE:** This course will provide a foundation for further work
in mathematics.This will be accomplished primarily by informal but careful
and rigorous exploration of key topics related to mathematical reasoning.
This will include a discussion of many of the essential tools for any mathematical
discourse and problem solving: sets, functions, and relations; problems
and conjectures; evidence, proofs and refutations; and direct and indirect
arguments.

Several topics from discrete mathematics will provide additional opportunities
for using these tools.

Lectures will organize the topics to present materials not covered in
the texts as well as those treated in the texts. We will cover material
from Solow contained in chapters 1 to 3, 5.1, and 6.2.4; from Lipschutz
chapters ??? being revised due to new edition???, and perhaps others as
time permits. By the end of the first two weeks students will be expected
to have read the textual part of the Polya, and references to relevant
words in his "dictionary" section should be read regularly. Supplementary
readings and materials will be supplied as appropriate.

Summaries
of lectures may be available through the course webpage.

**TECHNOLOGY:** We may use the computer at various stages of this
course to illustrate and investigate some of the topics. No particular
software will be required though at times we may use X(PLORE) or Geometer's
Sketchpad.

**TESTS AND ASSIGNMENTS:**
**Proof Analysis**: *Each week* students will be expected to
read at least one proof presented for analysis.These will not be lengthy.
A brief analysis responding to a list of questions is to be *passed
on Wednesdays beginning February 3rd.*

The proof analysis will cover briefly the techniques of argument (direct, indirect,
induction, etc.) and exposition (forward-backward organization, reference to
prior work, definitions, etc.) used in presenting the result. [See the
**Weekly
assignments**. The proof analyses and proofs without words
will be graded Honors(4)/Good(3)/Credit(2)/NCr(0). *(Accepted one day tardy
at most!)* ]

**Proof Without Words: **An explanation of a weekly **proof without
words **will be assigned to be done** cooperatively and due on Fridays
beginning January 29th.**

**Regular Homework:** Shorter problem assignments (about 5-10 problems)
will be made on a regular basis for each class. These will not be accepted
after 5 p.m. of the due date and will be graded Well-done (++=4),
Acceptable (+=3), Unacceptable (-=2), No Credit (--=0)

**Reality Check Quizzes:** During the term I will give several reality
check quizzes. These will usually be distributed on Fridays and collected
on Mondays, covering work from the previous recent assignments and class
discussions.

**Midterm Examinations:** There will be two self-scheduled mid-term
examinations.These will be announced a week in advance and will be worth
100 points each. There will also be a mid term coorperative assignment
which I will grade worth 50 points.

**FINAL ASSESSMENT:** The final assessment will be in two parts.
Part I will be a cooperative team take home examination that will be due
on the last day of the final examination period. Part I will be distributed
on the Friday before the last week of classes. Part II will be an individual
self-scheduled 90 minute examination given during the final examination
period. Part I will be worth 100 points. Part II will be worth 150 points.

**GRADES:** Final grades will be based on the accumulation of points
in the various categories of assignments as indicated in the following
chart:

Proof Analyses | 25 |

Proof w/o Words | 25 |

Homework | 50 |

Reality Check Quizzes | 100 |

Midterm Examinations | 250 |

Final Assessment Part I | 100 |

Final Assessmant Part II | 150 |

Total Points........... | 700 |

Back to Martin Flashman's Home Page :)