Math 299, Fall 2013

MSU MATHEMATICS

MTH 299.007
Transition to Formal Mathematics

Fall 2013

Instructor: Prof. Peter Magyar , magyar@math.msu.edu, tel. 353-6330, Wells Hall D-326.
Office hours: Mon, Wed, Fri 10−12 and Thu afternoon by appointment. Also see me at the end of each class.
Recitation Leader: Alex Chandler, chand100@msu.edu . Recitation: Thu 5:00-6:20, Wells A-201.
Math Learning Center hours in Wells Lobby C: Mon, Tue Wed 1:40-4:00pm & 6:20-8:40pm; Thu 6:20-8:40pm.
Course Information: Grading, exam, and homework policies.
Course Schedule: Dates of chapters, tests and administrative deadlines. Check the Announcements below for date changes.
Announcements
- Review Week Office Hours: Wells D-326
  Mon 10−12; Tue 12−3; Wed 10−12; Thu 1−3; Fri 10−12.
- Room change for last class: Lecture on Fri Dec 6 will be held in 1255 Anthony Hall.
- Final Exam: Mon Dec 9, 10:00-12:00, in Brody Hall 112.
- Makeup Final Exam: Tue Dec 10, 10:00-12:00, moved to Business College Complex N-130
  If you need to take the Makeup Final, you must register at the Math Office in Wells C-212.
Homework: Do each assignment after the lecture on that date and hand in when indicated. Late HW will not be accepted.
Chapter numbers refer to the text by Houston [H].
I will give an extra HW point to the first person pointing out a significant typo or other error on this page, in handouts, or in class. Corrections and recent revisions are in red. Future assignments, which are tentative and may be revised, are marked in gray.
- Old Homework
- 11/27: Reading: Supplement (expanded from 11/18).
  Beck textbook: Ch. 8, p. 75−83; and Ch. 10, p. 95−103.
  HW due 12/6: End of Supplement Problems: #2, 3c, 6, 7b (again), 9, 11a.
- Final Review: Syllabus and Problems. These problems cover mainly the last third of the course.
  To review previous material, re-do the Review Sheets for Exams 1,2 (in Handouts below). Also old Exams, Quizzes and HW.
Handouts
- Supplement 8/28: Law of Cosines proof.
- Recitation 1 Solutions: Rewriting a calculus proof.
- Supplement 9/4: Sets and functions.
- Homework 9/4: Modeling with sets and lists.
- Recitation 2 Solutions: Sets and functions.
- Supplement 9/9: Counting Sets and Functions
- Homework 9/11: Pascal's Triangle
- Recitation 3 Solutions: Injections, surjections, cardinality.
- Proof Essay: Compositon of injections.
- Recitation 4 Solutions: Logic, implications, truth tables.
- Recitation 5 Solutions: Implications. Quiz 5 (alternative)
- Miterm 1 Review: Sheet 1, Sheet 2.
- Supplement 10/4: Axiomatic Systems.
- Supplement 10/7: More Axiom Notes, including Group Axioms
- HW 10/7 Handout: The group of self-bijections.
- Recitation 6 Solutions: Axiom systems.
- Supplement 10/11: Group examples
- Recitation 7 Solutions: Proof methods.
- Recitation 8 Solutions: Proof by induction.
- Supplement 10/23: Natural Number Axioms
- Recitation 9 Solutions: Divisibility and gcd.
- Midterm 2: Review Syllabus and Problems
- Supplement 11/8 (revised 11/9): Modular Arithmetic
- Recitation 10 Solutions: Modular arithmetic, equivalence relations
- Supplement 11/18: Real number axioms
- Recitation 11 Solutions: Limits, least upper bounds
- Supplement 11/27: Real numbers and limits (expanded from 11/18)
- Final Review: Syllabus and Problems