Spring 2015 - MACM 201 D200
Discrete Mathematics II (3)
Class Number: 3017
Delivery Method: In Person
Overview
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Course Times + Location:
Jan 6 – Apr 13, 2015: Mon, Wed, Fri, 8:30–9:20 a.m.
Surrey -
Exam Times + Location:
Apr 15, 2015
Wed, 8:30–11:30 a.m.
SurreyApr 15, 2015
Wed, 8:30–11:30 a.m.
Surrey
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Instructor:
Abraham Punnen
apunnen@sfu.ca
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Prerequisites:
MACM 101.
Description
CALENDAR DESCRIPTION:
A continuation of MACM 101. Topics covered include graph theory, trees, inclusion-exclusion, generating functions, recurrence relations, and optimization and matching. Quantitative.
COURSE DETAILS:
Advanced Probability
- Review of Finite Probability
- Conditional Probability
Inclusion-Exclusion
- The Principle of Inclusion-Exclusion (review)
- Generalized Inclusion-Exclusion
- Derangements
Advanced Enumeration
- Introduction to Generating Functions
- Calculational Techniques
- Partitions of Integers
Recurrence Relations
- First-Order Linear Recurrence Relations
- Second-Order Linear Homogeneous Recurrence Relations with Constant Coefficients
- Nonhomogeneous Recurrence Relations
- The Method of Generating Functions
- Divide-and-Conquer Algorithms (optional)
Graph Theory
- Definitions
- Subgraphs, Complements, and Graph Isomorphism
- Vertex Degree: Euler Trails and Circuits
- Planar Graphs
- Hamilton Paths and Cycles
- Graph Coloring and Chromatic Number (optional)
Optimization and Matching
- Review of Trees
- Dijkstra's Shortest-Path Algorithm
- Minimum Spanning Trees: Kruskal's and Prim's Algorithms
- Matching Theory (optional)
Grading
- Assignments/Quizzes 10%
- Midterm 1 20%
- Midterm 2 20%
- Final Exam 50%
NOTES:
THE INSTRUCTOR RESERVES THE RIGHT TO CHANGE ANY OF THE ABOVE INFORMATION.
Students should be aware that they have certain rights to confidentiality concerning the return of course papers and the posting of marks.
Please pay careful attention to the options discussed in class at the beginning of the semester.
Materials
REQUIRED READING:
Discrete Combinatorial Mathematics: An Applied Introduction Edition:
5 / E
Author(s): Ralph P. Grimaldi
Publisher: Pearson Education
Year: 2004
ISBN: 9780201726343
Registrar Notes:
SFU’s Academic Integrity web site http://students.sfu.ca/academicintegrity.html is filled with information on what is meant by academic dishonesty, where you can find resources to help with your studies and the consequences of cheating. Check out the site for more information and videos that help explain the issues in plain English.
Each student is responsible for his or her conduct as it affects the University community. Academic dishonesty, in whatever form, is ultimately destructive of the values of the University. Furthermore, it is unfair and discouraging to the majority of students who pursue their studies honestly. Scholarly integrity is required of all members of the University. http://www.sfu.ca/policies/gazette/student/s10-01.html
ACADEMIC INTEGRITY: YOUR WORK, YOUR SUCCESS