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instructor |
Prof. Alec N. Kercheval |
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contact me |
113 Love Building; 644-8701 (office); 644-2202 (front desk) webpage: http://www.math.fsu.edu/~kercheva/ |
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| office hours | MWF 2:15 - 3pm or by appointment | ||
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eligibility |
Prerequisite: MAC 2312 Calculus II or permission. Also recommended is experience with additional math courses, such as MAC 2313 Calculus III and/or MAS 3105 Linear Algebra. | ||
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texts |
Irving Kaplansky, Set Theory and Metric Spaces, AMS
Chelsea Publishing, 1977, plus occasional handouts posted on the Blackboard course site. |
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objectives |
This course is designed to assist in the challenging transition from the
computation-oriented mathematics of the lower division courses
to the proof-based framework
of advanced mathematics. We will begin with the study
of propositional logic via truth tables, and proceed to
the set theory that most working mathematicians need to know
in their daily work. Topics will include functions and relations,
infinite cardinal and ordinal numbers, uncountability,
transfinite arithmetic, the Axiom of Choice and Zorn's Lemma, as time
permits.
Emphasis in this course will be on learning to write
clear proofs. Students should be prepared to spend concentrated
time working on hard problems throughout the semester, and presenting
solutions in class.
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homework
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Homework will be assigned regularly to be handed in, and discussed in class;
see homework page. First Assignment, due Friday January 16: read Section 1 of Handout 1 posted on Blackboard (Course Library section), and do the four Exercises in that section. |
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exams
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There will be two one-hour midterm exams on dates
to be announced, and a comprehensive final exam at the
University's designated final examination time:
Friday, May 1, 10:00 - noon.
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grading |
Your course grade will be a weighted average of homework and class participation (20%), midterm grades (20% each), and final exam grade (40%). Faithful attendance is expected. Borderline grades will be resolved positively by good class participation and negatively by inconsistent attendance. | ||
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makeups |
No written makeups are given. An unexcused missed exam receives a zero.
Those with prior permission or sufficient documentation
will substitute an oral exam. |
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honor code: The University Academic Honor Code can be found in the current Student Handbook; you are bound by this in all of your academic work. Each student has the responsibility to 1) personally uphold the highest standards of academic integrity, 2) refuse to tolerate violations of academic integrity, and 3) foster a mutual sense of integrity and social responsibility. In this class, you are permitted to work together with classmates on homework problems, but you must turn in only work written by yourself. All exams and any other assignments must reflect only your own work unassisted by others. |
| ada statement: Students with disabilities needing academic accommodations should, within the first week of class: 1) register with and provide documentation to the Student Disability Resource Center (SDRC); 2) bring a letter to the instructor from SDRC indicating you need academic accommodations. This and other class materials are available in alternative format upon request. |