Spring 2023 - MACM 201 D400
Discrete Mathematics II (3)
Class Number: 5152
Delivery Method: In Person
A continuation of MACM 101. Topics covered include graph theory, trees, inclusion-exclusion, generating functions, recurrence relations, and optimization and matching. Quantitative.
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 (optional)
- 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
- Assignments 10%
- Midterm 1 20%
- Midterm 2 20%
- Final Exam 50%
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.
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).
Discrete Combinatorial Mathematics: An Applied Introduction
5 / E
Ralph P. Grimaldi
REQUIRED READING NOTES:
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