Illinois State University Mathematics Department

MAT 409: Topics in Algebra and Combinatorics for K-8 Teachers

Summer 2006 (June 19 to July 13)
1:25 to 4:15 pm MTWR STV 310
Dr. Roger Day (day@ilstu.edu)



Syllabus
Grades & Grading
Content Notes
Session Notes
Assignments and Problem Sets
Tests and Quizzes

Syllabus

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Current Course Syllabus

Grades and Grading

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Grading Guidelines for Assignments

Grading Guidelines for the Course

Current Grade Calculations

Expectations for Written Work

Content Notes

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Addition Principle
Finite Differences
Perfect Covers of Chess Boards
Total Number of Possible Arrangements
Arranging Elements When Repetition Is Allowed
Generating Functions
Permutations
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Basic Counting Techniques
Inclusion/Exclusion Principle
Pigeonhole Principle
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Binomial Expansion
Mathematical Induction
Product Notation
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Circular Permutations
Multinomial Expansion
Proof by Induction
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Combinations
Multiplication Principle
Recursion Relationships
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Derangements
Number of Subsets of a Set
Solving Equations over the Nonnegative Integers
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Factorial Notation
Pascal's Formula
Solving Equations over the Positive Integers
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Fibonacci Sequence
Pascal's Triangle
Summation Notation
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Review: Binomial Expansion
Review: Multinomial Expansion
Review: Pigeonhole Principle
Review: Product Notation
Review: Summation Notation
Expander Link!
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Session Notes

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Session #1: 19 June 2006
Session #5: 26 June 2006
Session #9: 3 July 2006
Session #13: 10 July 2006
Session #2: 20 June 2006
Session #6: 27 June 2006
Session #10: 4 July 2006
Session #14: 11 July 2006
Session #3: 21 June 2006
Session #7: 28 June 2006
Session #11: 5 July 2006
Session #15: 12 July 2006
Session #4: 22 June 2006
Session #8: 29 June 2006
Session #12: 6 July 2006
Session #16: 13 July 2006
Semester Exam: Thursday, 13 July 2006, 1:25 pm

Assignments & Problem Sets

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Assignment Notes: Assignment #1, Assignment #2, Assignment #5

Previously Used Supplementary Problems

Sample Questions for the Semester Exam

Tests

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Tests
Test #1
Test #2
Test #3
Semester Exam

Other Semesters

Spring 2003
Summer 2001
Spring 2000
Spring 1999
Summer 1997
Fall 1996
Summer 1994
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Test #2
Test #2
Test #2
Test #2
Test #2
Test #3
Test #3
Test #3
Test #3
Test #3
Semester Exam
Semester Exam
Semester Exam
Semester Exam
individual exam
group exam
Semester Exam
Semester Exam



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