Students in Math 574, Fall 2011, are encouraged to contact me
by email for help on homework at filaseta@math.sc.edu.
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Solutions to Miscellaneous Problems
[click me]
Clickable Quicktime Overview of the Course
[mov]
(1.3 megabytes)
Notes 1: Proofs by Contradiction
[ps]
[pdf]
Notes 2: Proofs by Induction
[ps]
[pdf]
Solution to Homework Problem 3 in Notes 2
Solutions to Homework Problems 5 and 6 in Notes 2
Solution to an Old Induction Quiz
[ps]
[pdf]
What's Wrong With This Proof?
[ps]
[pdf]
The
2004
Practice Problems for Test 1
[pdf]
Clickable Quicktime Review for Test 1
[mov]
(4.4 megabytes)
Notes 3: Practice Problems for Test 1
[ps]
[pdf]
Solutions to Practice Problems for Test 1
[ps]
[pdf]
Test 1, Spring 1999
[ps]
[pdf]
Test 1, Spring 2004
[pdf]
Solutions to Test 1, Spring 2004
[pdf]
Additional Review Problems for Test 1
Notes 4: The Pigeonhole Principle
[ps]
[pdf]
A Solution to Problem 4 on Notes 4
[pdf]
Clickable Pigeonhole Chess Problem
[mov]
(3.9 megabytes)
Notes 5: Counting Basics
[ps]
[pdf]
Counting Basics Lecture with Dice
[mov]
(2.9 megabytes)
Notes 6: Permutations and Combinations
[ps]
[pdf]
Notes 7: Practice Problems for Test 2
[ps]
[pdf]
Test 2, Spring 1999
[ps]
[pdf]
Answers to Test 2, Spring 1999
[pdf]
Answers to Test 2, Fall 1999
[pdf]
Extra Test 2 Problems (from review lecture)
[large mov]
(11.5 megabytes)
[small mov]
(1.2 megabytes)
Notes 8: Recurrence Relations
[ps]
[pdf]
Recurrences Presentation
[mov]
Notes 9: Graphs and Trees
[ps]
[pdf]
Additional Problems on Graphs
[pdf]
Graph Theory Lecture (on 11/11/11)
Notes 10: Miscellaneous Considerations
[ps]
[pdf]
A Game Theory Problem
[ps]
[pdf]
Notes 11: Practice Problems for Test 3
[ps]
[pdf]
Some Answers for Fall, 1999, Test 3
Test 3, Spring 1999
[ps]
[pdf]
Notes 12: Final Review
[ps]
[pdf]
Final, Spring 1999
[ps] (large file),
[pdf] (not-so-large)
Final, Fall 1999
[ps] (large file),
[pdf] (not-so-large)
Some Answers and Solutions to Old Finals