The latest homework will always appear on top.
If you are interested in learning to typeset mathematics here is a list of resources
compiled by Rebecca Weber on LaTex
Homework assignments
Late Homework will not be accepted. In order to qualify for a regrade you must have submitted
your homework on the due date.
Write the names of your the group members with whom you worked on the homework, please make
sure that what you turned in for homework is your own understanding of how to do the problems.
Practice problems:
These problems are very important. We will discuss these in class as a group.
Please be sure that you understand these problems thoroughly as you will be asked
to present/discuss these problems in class.
Graded assignments: These problems will graded in detail.
Homework due day: Homework will be assigned daily and will be collected once a week.
Week 10
Sunday, March 13:
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Final Exam
- At 8:00 AM in Kemeny 105
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Week 9
Wednesday, March 2:
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Topic: Inclusion-Exclusion - Onto functions
- All The problems: Problem Set
- In class problems: # 186, 187, 188, 189, 190
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Monday, February 29:
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Topic: Inclusion-Exclusion
- All The problems: Problem Set
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Week 8
Friday, February 26:
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Topic: Inclusion-Exclusion
- All The problems: Problem Set
- In-class problems: # 174, 175, 177, 178, 182
- Graded problems (Due Wednesday, March 2): # 176, 179, 180, 181, 183, 184, 185
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Wednesday, February 24:
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Topic: Solving recurrences with generating functions
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Slides for today: Euler's Pentagonal Number Theorem
- All The problems: Problem Set
- In-class problems: # 166, 169, 170
- Graded problems (Due Wednesday, March 2): # 165, 167, 168, 171, 172, 173
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Monday, February 22:
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Topic: Generating Functions
- All The problems: Problem Set
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Week 7
Friday, February 19:
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Topic: Generating Functions for integer partitions
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Slides for today: Introduction to Generating Functions
- All The problems: Problem Set
- In-class problems: # 156, 157, 158, 160, 161
- Graded problems (Due Wednesday, Feb. 24): # 154, 155, 159, 162, 163, 164
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Wednesday, February 17:
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Review: Here is the completed table Twenty-fold way
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Topic: Introduction to Generating Functions
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Slides for today: Introduction to Generating Functions
- All The problems: Problem Set
- In-class problems: # 141, 142, 144, 145, 147, 148,
- Graded problems (Due Wednesday, Feb. 24): # 143, 146, 149, 150, 151, 152, 153
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Monday, February 15:
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Topic: Partitions of integers
- All The problems: Problem Set
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Week 6
Friday, February 12:
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Topic: Review for midterm #2
- All The problems: Problem Set
- In-class problems: # 131, 134, 135, 138,
- Graded problems (Due Wednesday, Feb. 17): # 132, 133, 136, 137, 139, 140
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Wednesday, February 10:
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Topic: Partitions of Numbers
- Bases for polynomials and partitions of numbers.
- All The problems: Problem Set
- In-class problems: # 125, 126, 127, 129,
- Graded problems (Due Wednesday, Feb. 17): # 123, 124, 128, 130
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Monday, February 8:
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Topic: Stirling Numbers
- Stirling numbers, onto functions, bases for polynomials.
- All The problems: Problem Set
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Week 5
Friday, February 5:
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Topic: Mathematical Objects Counted in Distributions
- Continue working on the twentyfold-way.
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Slides for today: Distributions and Related Math Objects II
- All The problems: Problem Set
- In-class problems: # 113, 115, 116, 117, 118, 121,
- Graded problems (Due Wednesday, Feb. 10): # 111, 112, 114, 119, 120, 122
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Wednesday, February 3:
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Topic: Mathematical Objects Counted in Distributions
- Continue working on the twentyfold-way.
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Slides for today: Distributions and Related Math Objects I
- All The problems: Problem Set
- In-class problems: # 100, 101, 104, 105, 106, 109,
- Graded problems (Due Wednesday, Feb. 10): # 99, 102, 103, 107, 108, 110
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Monday, February 1:
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Topic: Introduction to Distributions
- Discussion of in-class problems from last week.
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Slides for today: Distributions
- All The problems: Problem Set
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Week 4
Friday, January 29:
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Topic: Introduction to Distributions
- We will start talking about the twentyfold-way.
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Slides for today: Distributions
- All The problems: Problem Set
- In-class problems: # 93, 98
- Graded problems (Due Wednesday, Feb. 3): # 94, 95, 96, 97
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Wednesday, January 27:
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Topic: Strong Induction and Graphs
- We will continue discussing applications of induction.
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Slides for today: Strong Induction and Graphs
- All The problems: Problem Set
- In-class problems: # 80, 82, 83, 84, 87,
- Graded problems (Due Wednesday, Feb. 3): # 81, 85, 86, 88, 89, 90, 91, 92
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Monday, January 25:
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Topic: Recursions and Induction
- Today we will discuss problems on finding recursions and inductive proofs.
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Slides for today: Math Induction
- All The problems: Problem Set
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Week 3
Friday, January 22:
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Topic: Principle of math Induction
- Today we will learn to use induction for proof and for recursive reasoning.
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Slides for today: Math Induction
- All The problems: Problem Set
- In-class problems: # 65, 66, 67, 69, 71, 72, 73, 74(a), 77
- Graded problems (Due Wednesday, Jan. 27): # 63, 64, 68, 70, 74(b), 75, 76, 78, 79
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Wednesday, January 20:
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Topic: The pigeonhole principle
- Today we will work on problems related to Binomial Theorem and discuss the pigeonhole principle.
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Slides for today: Pigeonhole Principle
- All The problems: Problem Set
- In-class problems: # 50, 52, 53, 56, 57, 59
- Graded problems (Due Wednesday, Jan. 27): # 51, 54, 55, 58, 60, 61, 62
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Tuesday, January 19:
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Topic: Lattice Paths
- We will count lattice paths and Catalan paths.
- All The problems: Problem Set
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Week 2
Friday, January 15:
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Topic: The quotient principle
- The product principle in a different light.
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Slides for today: Quotient Principle
- All The problems: Problem Set
- In-class problems: # 43, 44, 46, 48
- Graded problems (Due Wednesday, Jan. 20): # 45, 47, 49
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Monday, January 11:
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Topic: The Sum and Product Principles
- Complete the first set of problems.
- All the problems: Problem Set
- In-class problems: # 26, 27, 29, 31, 32
- Graded problems (Due Wednesday, Jan. 20): # 28, 30, 33, 34, 35
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Week 1
Friday, January 8:
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Topic: The Sum and Product Principles
- Today we will continue working on functions and applications of sum and product principle.
- All the problems: Problem Set
- In-class problems: # 18, 19, 21, 22, 24, 25
- Graded problems (Due Wednesday, Jan. 13): # 15, 16, 17, 20, 23
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Wednesday, January 6:
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Topic: The Sum and Product Principles
- Today we will begin working on problems that on the Sum and Product Principles.
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Slides for today: Sum Principle, Product principle and Functions
- All the problems: Problem Set
- In-class problems: # 1, 3, 5, 7, 8, 12, 13
- Graded problems (Due Wednesday, Jan. 13): # 2, 4, 6, 9, 10, 11, 14
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Tuesday, January 5:
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Topic: Methods of Proof
Slides for in-class presentation: Proofs
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Read
Handout on proof writing click here for a copy.
- Today we will discuss different methods of proofs during the x-hour.
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