Spring, 2012 COURSE INFORMATION

TR 9:30

Final Exam Schedule

- Course Description
- Assignments
- Summaries of lectures

- Some www sites related to logic and set theory.
- Some www sites related to history of mathematics.

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Last updated: 1/12/2012

OFFICE: BSS 356 PHONE:826-4950

Office hours :

E-MAIL: flashman@axe.humboldt.edu WWW: http://flashman.neocities.org/

TEXTS: [SOL]
The
Keys to Advanced Mathematics : Recurrent Themes in
Abstract Reasoning by Daniel Solow (
Paperback, BOOKMASTERS,1995 )ISBN:9780964451902 |

[FET] Proof in Geometry by A. I.
Fetisov (Dover).ISBN:9780486453545 |

[HOU] How to Think Like a Mathematician by Kevin Houston (Cambridge University Press, 2009) ISBN:9780521719780 |

[SOS] Set Theory & Related
Topics by Seymour Lipschutz
(McGraw-Hill,1998) ISBN:9780070381599 |

**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 reading, writing , and 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; selections from Fetisov, Houston- all chapters; and
Lipschutz chapters 1-6. Supplementary readings and materials
will be supplied as appropriate.

Summaries of lectures and presentations may be available through
the course webpage and Moodle.

Relevant Student learning outcomes for the BA Programs in Mathematics

Outcome 1: (Competence in Mathematical Techniques) Students demonstrate competence in the field of Mathematics, including the following skills:

1.3 The ability to read, evaluate, and create mathematical proof.

1.5 The ability to analyze the validity and efficacy of mathematical work.

Outcome 2: (Fundamental Understanding) Students demonstrate a fundamental understanding of the discipline of mathematics, including:

2.2 The ability to apply knowledge from one branch of mathematics to another and from mathematics to other disciplines.

2.3 The role and responsibilities of mathematicians and mathematical work in science, engineering, education, and broader society.

Outcome 3: (Communication) Students demonstrate fluency in mathematical language through communication of their mathematical work, including demonstrated competence in

3.1 Written presentations of pure and applied mathematical work that follows normal conventions for logic and syntax.

3.3 Individual and collaborative project work in which a project question is described, methodology is discussed and implemented, results are analyzed, and justifiable conclusions are drawn.

**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..

We will use the HSU Moodle

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.

**Proof Without Words: **An explanation of an alternate **weekly****proof without words **will be assigned to be done**
cooperatively by partnerships and due on alternate
Wednesdays [beginning January 25th. **

**The proof analyses and proofs without words will be
graded Honors(4)/Good(3)/Credit(2)/NCr(0). (Accepted one
day tardy at most!)**

**Regular Homework:** Shorter problem assignments (about 5-10
problems) will be made on a regular basis for each class.

**Homework
assignments will not be accepted after 5 p.m. of the due
date and will be graded
Well-done (4), Good (3), Acceptable (2), Unacceptable(1)
No Credit(0)**

**Reality Check Quizzes:** During the term I will give several
reality check quizzes. These will usually be available and
submitted on Moodle, 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 cooperative assignment worth 50 points.**

**FINAL ASSESSMENT****:** The final assessment will be in
two parts. Part I will be a partnership take home examination that
will be due on the last day of the final examination period.**
AT MOST 3 PERSONS PER PARTNERSHIP!** Part I will be
distributed on the Friday before the last week of classes.

Part II will be an individual self-scheduled 120 minute examination given during the final examination period.

Any student may take Part II of the Final during the scheduled time: Thursday, May 10, 8:00-10:00.

**Final
Examination Self -Scheduled** 5/8 FOR 107: 1500-1700 ;
5/10 ARTA_027 0800-1000 ;
5/11 FH 177: 1020-1220 or FOR
107: 1500-1700

Part I will be worth 100 points.** Part II will be worth 150
points or 300 points according to the following rule:**

**The final grade will use the score for Part II of the final
that maximizes the average for the term based on all possible
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 | 100 |

Reality Check Quizzes | 50 |

Midterm Examinations | 250 |

Final Assessment Part I | 100 |

Final Assessmant Part II | 150 or 300 |

Total Points........... | 700 or 850 |

The total points available for the semester is 700 or 850.Notice that only 500 or 650 of these points are from examinations, so regular participation with more regular assignments and quizzes is essential to forming a good foundation for your grades as well as your learning. Though final grades for the course are subject to my discretion, I will use the following overall percentages based on the total number of points for your work to determine the broader range of grades for the course.

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