Spring 2021 - MACM 201 D100
Discrete Mathematics II (3)
Class Number: 3613
Delivery Method: Remote
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).
A continuation of MACM 101. Topics covered include graph theory, trees, inclusion-exclusion, generating functions, recurrence relations, and optimization and matching. Quantitative.
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.
Review of Basic Counting Techniques
- Counting in Graphs
- Review of Finite Probability
- Conditional Probability
- Random Variables and Expectation
- Introduction to Generating Functions
- Calculational Techniques
- Partitions of Integers
- 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)
- Subgraphs, Complements, and Graph Isomorphism
- Vertex Degree: Euler Trails and Circuits
- Planar Graphs
- Hamilton Paths and Cycles
- Graph Coloring and Chromatic Number (optional)
- 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
- Lecture: synchronous- lectures will be held at fixed times, on-line
- Midterm(s): synchronous; date: TBA
- Final exam: synchronous; date: TBA
- Assignments 15%
- Midterm 1 15%
- Midterm 2 15%
- Midterm 3 15%
- Final Exam 40%
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 + SUPPLIES:
- Access to strong and reliable internet.
- Ability to scan documents (homework/exams) (phone app acceptable)
- Access to webcam and microphone (embedded in computer sufficient)
Discrete Combinatorial Mathematics: An Applied Introduction
5 / E
Ralph P. Grimaldi
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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 (firstname.lastname@example.org or 778-782-3112).