Spring 2021 - MACM 201 D300

Discrete Mathematics II (3)

Class Number: 3620

Delivery Method: In Person

Overview

  • Course Times + Location:

    Mo, We, Fr 12:30 PM – 1:20 PM
    REMOTE LEARNING, Burnaby

  • Exam Times + Location:

    Apr 24, 2021
    7:00 PM – 10:00 PM
    REMOTE LEARNING, Burnaby

  • Prerequisites:

    MACM 101 or (ENSC 251 and one of MATH 232 or MATH 240).

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:


This course will be delivered online. You are expected to have access to a reliable internet connection. You will need a computer from which you can download course materials and activities and watch live and/or recorded lectures and participate in live tutorials or workshops.

You will need a camera to take photographs of your work. A phone is acceptable.


Topics
 

 Review of Basic Counting Techniques

  • Permutations
  • Combinations
  • Counting in Graphs

Probability
  • Review of Finite Probability
  • Conditional Probability
  • Random Variables and Expectation
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) 
Trees
  •  Characterizations of Trees and Prufer Codes
  •  Rooted Trees and Depth-First-Search Spanning Trees
  •  Articulation Points and Biconnected Components (optional)
  •  Minimum Spanning Trees: Kruskal's and Prim's Algorithms


Course Delivery

  •  Lecture: synchronous- lectures will be held at fixed times, on-line
  •  Midterm(s): synchronous; date: TBA
  •  Final exam: synchronous; date: TBA

Grading

  • Assignments 15%
  • Midterm 1 15%
  • Midterm 2 15%
  • Midterm 3 15%
  • Final Exam 40%

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

MATERIALS + SUPPLIES:

Required: 

  • Access to strong and reliable internet.
  • Ability to scan documents (homework/exams) (phone app acceptable)
  • Access to webcam and microphone (embedded in computer sufficient)

REQUIRED READING:

Discrete Combinatorial Mathematics: An Applied Introduction
5 / E
Ralph P. Grimaldi
Pearson Education
ISBN: 9780321385024

Registrar Notes:

ACADEMIC INTEGRITY: YOUR WORK, YOUR SUCCESS

SFU’s Academic Integrity web site http://www.sfu.ca/students/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

TEACHING AT SFU IN SPRING 2021

Teaching at SFU in spring 2021 will be conducted primarily through remote methods. There will be in-person course components in a few exceptional cases where this is fundamental to the educational goals of the course. Such course components will be clearly identified at registration, as will course components that will be “live” (synchronous) vs. at your own pace (asynchronous). Enrollment acknowledges that remote study may entail different modes of learning, interaction with your instructor, and ways of getting feedback on your work than may be the case for in-person classes. To ensure you can access all course materials, we recommend you have access to a computer with a microphone and camera, and the internet. In some cases your instructor may use Zoom or other means requiring a camera and microphone to invigilate exams. If proctoring software will be used, this will be confirmed in the first week of class.

Students with hidden or visible disabilities who believe they may need class or exam accommodations, including in the current context of remote learning, are encouraged to register with the SFU Centre for Accessible Learning (caladmin@sfu.ca or 778-782-3112).