Discrete mathematics is an important field that deals with mathematical structures that are considered to be countable rather than continuous. It involves the study of mathematical structures such as graphs, algorithms, and formal logic. The course is designed to help students understand the basics of discrete mathematics and develop their analytical and computational skills. Here, we present two syllabi for discrete mathematics that will be useful to anyone interested in diving into this exciting field:
Syllabus 1
This syllabus is designed for the MATH-UA.0120-004 course on Discrete Mathematics. It covers various topics such as set theory, combinatorics, probability, and graph theory. The course aims to introduce students to topics that will be useful in their further studies in computer science, economics, and mathematics.
Syllabus 2
This syllabus is a comprehensive guide to Discrete Mathematics and Logic. It covers a wide range of topics such as propositional logic, predicate calculus, Boolean algebra, and set theory. The course is divided into six sections and aims to provide students with a deep understanding of the fundamentals of discrete mathematics.
In the first section, students will learn about propositional logic, including its syntax, semantics, and basic proof techniques. The second section covers predicate calculus, which extends propositional logic and allows expressions to contain variables that can be quantified. The third and fourth sections introduce Boolean algebra and its applications in computer science, including digital logic circuits and circuits with feedback. The fifth section covers set theory, including set operations, Russell's paradox, and the Axiom of Choice. Finally, the sixth section discusses graph theory, including its elements, isomorphism, algorithms, and applications.
Both of these syllabi provide students with the tools they need to understand the fundamentals of discrete mathematics. These courses will give students a strong foundation to build upon as they pursue their studies further in computer science, math, or any other discipline that requires mathematical thinking.
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