MAT 409 Home Page

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

Syllabus

Current Course Syllabus

Grades and Grading

Grading Guidelines for Assignments

Content Notes

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

Session Notes

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