Simon Fraser University
Engaging the World

Course Outlines

Fall 2025 - MACM 201 D100

Discrete Mathematics II (3)

Class Number: 6037

Delivery Method: In Person

Overview

  • Course Times + Location:

    Sep 3 – Dec 2, 2025: Mon, Wed, Fri, 12:30–1:20 p.m.
    Burnaby

  • Exam Times + Location:

    Dec 12, 2025
    Fri, 3:30–6:30 p.m.
    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:

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 (optional)

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

Grading

  • 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.

REQUIREMENTS:

This course is delivered in person, on campus. Should public health guidelines recommend limits on in person gatherings, this course may include virtual meetings. As such, all students are recommended to have access to strong and reliable internet, the ability to scan documents (a phone app is acceptable) and access to a webcam and microphone (embedded in a computer is sufficient). 

Materials

REQUIRED READING:

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

REQUIRED READING NOTES:

Your personalized Course Material list, including digital and physical textbooks, are available through the SFU Bookstore website by simply entering your Computing ID at: shop.sfu.ca/course-materials/my-personalized-course-materials.

Department Undergraduate Notes:

The following are default policies in the School of Computing Science. Please check your course syllabus whether the instructor has chosen a different policy for your class, otherwise the following policies apply.
 
  • Students must attain an overall passing grade on the weighted average of exams in the course in order to get a C- or higher.
  • All student requests for accommodations for their religious practices must be made in writing by the end of the first week of classes, or no later than one week after a student adds a course. After considering a request, an instructor may provide a concession or may decline to do so. Students requiring accommodations as a result of a disability can contact the Centre for Accessible Learning (caladmin@sfu.ca).

Registrar Notes:

ACADEMIC INTEGRITY: YOUR WORK, YOUR SUCCESS

At SFU, you are expected to act honestly and responsibly in all your academic work. Cheating, plagiarism, or any other form of academic dishonesty harms your own learning, undermines the efforts of your classmates who pursue their studies honestly, and goes against the core values of the university.

To learn more about the academic disciplinary process and relevant academic supports, visit: 


RELIGIOUS ACCOMMODATION

Students with a faith background who may need accommodations during the term are encouraged to assess their needs as soon as possible and review the Multifaith religious accommodations website. The page outlines ways they begin working toward an accommodation and ensure solutions can be reached in a timely fashion.