Math 347 (Rezk, 11:00 MWF, Section D1, 143 Henry).

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Syllabus

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Reading and homework

• Wednesday, January 20. MT pp. 6-15. (Sets and functions)
• Friday, January 22. PS #1 due (Sets and functions, continued.)

• Monday, January 25. MT pp. 15-18. (The real numbers.) Daily Problem 1: MT 1.7.
• Wednesday, January 27. MT pp. 4-6 and 18-20. See Illinois Compass for daily assignment.
• Friday, January 28. PS #2 due.

  Please go to Illinois Compass and use the "Calendar" tool to see all future readings and homework assignments.

• MT pp. 27-35. (Quantifiers.)
• MT pp. 35-44. (Logical connectives.)
• (Methods of proof.)
• MT pp. 50- 57. (Principle of Induction.)
• MT pp. 58-62. (Applications of Induction.)
• MT pp. 63-66. (Strong Induction.)
• MT pp. 66-71. (Examples of Induction.)
• MT pp. 80-83. (Bijections.)
• MT pp. 83-85. (Injections and surjections.)
• MT pp. 76-80. (Representation of natural numbers.)
• MT pp. 85-92. (Composition of functions. Cardinality.)
• MT pp. 101-104. (Arrangements and selections.)
• MT pp. 104-110. (Binomial Coefficients)
• MT pp. 111-115. (Permutations.)
• MT pp. 255-258. (Completeness Axiom.)
• MT pp. 258-263. (Limits)
• (Limits, continued.)
• (Monotone convergence theorem.)
• MT pp. 123-126. (Divisibility.)
• (GCD.)
• (Euclidean algorithm.)
• MT pp. 139-145. (Equivalence relations, congruence.)
• MT pp. 147-149. (Fermat's little theorem)
• (Fermat's little theorem, continued.)

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office: Illini Hall 242
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Last modified 25 January 2009 by Charles Rezk.

Department of Mathematics College of Liberal Arts and Sciences University of Illinois at Urbana-Champaign 273 Altgeld Hall, MC-382 1409 W. Green Street, Urbana, IL 61801 USA Department Main Office Telephone: (217) 333-3350 Fax (217) 333-9576