COMS 230 Discrete Computational Structures
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The COMS 230 Discrete Computational Structures course covers powerful thinking and basic computational problem-solving techniques. The above-stated course mainly focuses on problem-solving, understanding and building mathematical proofs and basic mathematical structures, which are very useful in electrical engineering and computer science.
The COMS 230 Discrete Computational Structures course is expected to help students in building a solid mathematical foundation, improve their problem-solving skills, and help them in preparing for challenging computational problems in electrical engineering, computer science, and other related fields. In addition, this course is a prerequisite for many other undergraduate and graduate programs. The course covers the following topics in detail.
- Logic and proof: logical formulas, sentences, predicates, methods of proof, principles of good order.
- Basic math structure: set, function, sequence, integer, matrix.
- Algorithm: Basics of Algorithm Analysis, Number Theory, Application of Number Theory-Cryptography.
- Computation: basic knowledge, cardinality rules, recursion relations, recursion solutions, generating functions.
- Relationships: attributes, presentation relationships, closures, equivalence relationships, partial orders and directed graphs.
- Graphs and trees: presentation graphs, isomorphic graphs, Euler and Hamilton graphs, bipartite graphs and related elements, stable marriage problems, colorings, floor plans.
- Probability: basic knowledge, conditional probability, random variables, mean deviation, random walk.
- Computability theory: a brief overview of the theoretical foundations of computability and complexity.
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