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Schedule for Math 106

(Combinatorics)

Dates

Text Reading Assignments

Homework & Class Handout Submissions

Quizzes & Exams

08/30 M (Day 1)

Section 1 - Introduction

 

 

09/01 W (Day 2)

Section 2 - Tree Diagrams

Section #1 Handout &

Section 1 Homework Problems #1, 2, 4 (Hints)

 

09/03 F (Day 3)

Section 3 - Recipes

Section #2 Handout &

Section 2 Homework Problems #1, 2, 3, 5, 6, 7, 8, 9, 11, 12 (Hints)

 

09/06 M (Day 4)

Section 4 - Permutations

Section #3 Handout &

Section 3 Homework Problems #1, 2, 3, 4, 5, 6, 7, 8, 9 (Hints)

 

09/08 W (Day 5)

Section 5 - Combinations

Section 4 Homework Problems #1, 2, 3, 4, 5, 6, 7, 8, 9, 10 (Hints)

 

09/10 F (Day 6)

Section 5 - Combinations

Section 6 - More Ordered Arrangements

Section #4 Handout &

Section 4 Homework Problems #11, 12, 13, 14, 15 (Hints)

 

09/13 M (Day 7)

Section 6 - More Ordered Arrangements

Section #5 Handout &

Section 5 Homework Problems #3, 4, 5, 6, 7, 8, 9(just set up answer without calculating), 10, 11 (Hints)

 

09/15 W (Day 8)

 

Review Sheet posted here

Quiz #1 on Sections 1 to 5

09/17 F (Day 9)

Section 7 - Permutations with Repeated Objects

Section #6 Handout &

Section 6 Homework Problems #1, 2, 3, 4, 5, 6, 7, 8, 9, 10 (Hints)

 

09/20 M (Day 10)

Section 7 - Permutations with Repeated Objects

Section 7 Homework Problems #1, 2, 3, 4, 5

 

09/22 W (Day 11)

Section 8 - Pascal’s Triangle

Section 9 - Binomial Expansion

Section #7 Handout &

Section 7 Homework Problems #6, 7, 8, 9 (Hints)

 

09/24 F (Day 12)

Section 9 - Binomial Expansion

Section #8 Handout &

Section 8 Homework Problems #1, 2, 3, 4, 5, 6, 7, 8, 9, 10 (Hints)

Section 9 Homework Problems #1, 2, 3, 5 (Hints)

 

09/27 M (Day 13)

 

Review Sheet posted here

Quiz #2 on Sections 6 to 8

09/29 W (Day 14)

 

Section #9 Handout &

Section 9 Homework Problems #5, 6, 7, 8, 9, 10, 11, 12 (Hints)

Review Exercises (page 81) #1, 2, 3a, 4, 5, 6, 7, 8, 9, 10, 11

Sample Test #1 (page 83) #1, 2, 4, 5, 6

 

10/01 F (Day 15)

 

You may write anything you want on the colored sheet distributed in class and use it during the exam.

Exam Practice Problems are posted here and

answers can be checked here

Exam #1 on Sections 1 to 9

10/04 M (Day 16)

Section 11 - Subsets

 

 

10/06 W (Day 17)

Section 12 - Linear Equations: A first Try

Section #11 Handout &

Section 11 Homework Problems #1, 2, 3, 4, 5, 6, 7, 8 (Hints)

 

10/08 F (Day 18)

Section 13 - Non-adjacent Objects

Section #12 Handout &

Section 12 Homework Problems #1, 2, 3, 4, 5, 6 (Hints)

 

10/11 M (Day 19)

Section 13 - Non-adjacent Objects

Do Exercise #5 on Section #13 Handout (on a separate sheet of paper to be submitted)

 

10/13 W (Day 20)

Section 14 - Linear Equations with Unit Coefficients

Section #13 Handout &

Section 13 Homework Problems #1, 2, 3, 4, 5, 6, 7, 8, 9 (Hints)

 

10/15 F (Day 21)

Section 14 - Linear Equations with Unit Coefficients

Section 14 Homework Problems #1, 4, 5, 12 (Hints)

 

10/18 M (Day 22)

Review Sheet posted here

Quiz #3 on Sections 11 to 13

10/20 W (Day 23)

Section 15 - Equations With Restricted Solutions

Section #14 Handout &

Section 14 Homework Problems #2, 3, 9, 10, 11 (Hints)

 

10/22 F (Day 24)

Section 15 - Equations With Restricted Solutions

Exercise #3 on the Section #15 Handout

 

10/25 M (Day 25)

Subsets, Strings, Equations Handout

Section #15 Handout &

Section 15 Homework Problems #1, 2, 3 (Hints)

Exercise #1 on Subsets, Strings, Equations Handout (to be done in class)

 

10/27 W (Day 26)

Review Sheet posted here

Quiz #4 on Sections 14 & 15

11/01 M (Day 27)

Subsets, Strings, Equations Handout

Section 16 - Inclusion/Exclusion (#1 on Handout)

Exercise #2 on Subsets, Strings, Equations Handout (to be done in class)

11/03 W (Day 28)

 

Review Exercises (page 148) #1abc, 2abcdeg, 5, 6

Sample Test #2 (page 150) #1abcdfgh, 3

 

11/05 F (Day 29)

 

You may write anything you want on the colored sheet distributed in class and use it during the exam.

Exam Practice Problems are posted here and

answers can be checked here

Exam #2 on Sections 11 to 15

11/08 M (Day 30)

Section 16 - Inclusion/Exclusion (#2, 3, 4 on Handout)

Section 16 Homework Problem #3 (Hints)

 

11/10 W (Day 31)

Section 16 - Inclusion/Exclusion (#6, 7 on Handout)

Section 16 Homework Problems #4, 5 (Hints) &

Exercise #5 on the Section #16 Handout

 

11/12 F (Day 32)

Section 17 - More Equations With Restricted Solutions

Section 16 Homework Problem #8 (Hints)

 

11/15 M (Day 33)

Section 17 - More Equations With Restricted Solutions

Section 16 Homework Problems #6, 7 (Hints) &

Section 17 Homework Problems #1, 2, 3, 4 (Hints)

 

11/17 W (Day 34)

Section 19 - Probability

The short essay on the Section #16 Handout &

Section 16 Homework Problem #2 (Hints) &

Section 17 Homework Problems #5, 6, 7, 8 (Hints)

 

11/19 F (Day 35)

 

Review Sheet posted here

Quiz #5 on Section 16

11/22 M (Day 36)

Section 19 – Probability

Exercise #2 and the short essay on the Section #17 Handout &

Section 19 Homework Problems #1, 2, 3, 4, 5 (Hints)

 

11/29 M (Day 37)

 

Review Exercises (page 148) #1d, 2f, 7, 8

Sample Test #2 (page 150) #1e, 4

 

12/01 W (Day 38)

 

You may write anything you want on the colored sheet distributed in class and use it during the exam.

Exam Practice Problems are posted here and

answers can be checked here

Exam #3 on Sections 16 and 17

12/03 F (Day 39)

Section 20 - Dice

Section #19 Handout &

Section 19 Homework Problems #6, 7, 8, 9, 10 (Hints)

 

12/06 M (Day 40)

Section 20 - Dice

Section 20 Homework Problems #1, 2 (Hints)

Sample Final (page 253) #1, 2, 5, 7, 9a

 

12/08 W (Day 41)

Review Sheet posted here

Quiz #6 on Section 19

12/10 F (Day 42)

Section # 20 Handout &

Section 20 Homework Problems #3, 4 (Hints)

Review Exercises (page 148) # 10, 11, 12

Sample Test #2 (page 150) #5

12/13-17

 

You may write anything you want on the colored review sheet distributed in class and use it during the exam.  It is up to you to do the exercises and check that you can get the correct numerical answers posted here.

Final Exam (in scheduled time slot) covering Sections 1 to 20