Illinois State University Mathematics Department

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

Dr. Roger Day (day@ilstu.edu)





Session 8: 6 March 2018



Basic Counting Strategies
Solving Equations Restricted to Non-Negative Integer Solutions (4.2)

Finding Fibonacci's Sequence Within Pascal's Triangle (4.1)

The Inclusion-Exclusion Principle (5.1)

Derangements (5.2)

Quiz #2
and Solutions






Assignment #8 and Assignment #9

Review: All Chapters and Sections through Chapter 5.

Problems:

  • Chapter 4 (pp. 128-130): 16,18,22
  • Chapter 5 Section 1 (pp 151-155): 1,2,4,5,7

Early Send-Ins: By 9:26 pm Sunday 3/18/18, email to me (day@ilstu.edu; write MAT 409 Assignment #8 as subject line) your responses to:

  • Chapter 4: 18,22
  • Chapter 5.1: 2,7

Email me your questions from those assigned above as well as any review questions in preparation for Test #2.

Reminder: Tentative Schedule for Remaining Tests (subject to change . . . )

  • Test #2: Tuesday 3/20/18 (Session #10)
  • Test #3: Tuesday 4/17/18 (Session #14)
  • Semester Exam: Tuesday 5/8/18, 5:30 pm (as announced by ISU Registrar's Office)


Fundamental Components of a Problem-Solving Approach to Combinatorics Problems