Discrete Mathematics
UC-8d13c37d-5013-4873-b4fd-56a867ad853d
Description
This course focuses on Discrete Mathematics, a fundamental area of Mathematics and Computer Science that deals with discrete rather than continuous topics. It aims to build the mathematical foundation for various computer science and mathematics courses. The course covers essential topics such as sets, logic, number theory, proofs, functions, relations, graph theory, statistics, combinatorics, and sequences and series, equipping students with the ability to understand mathematical language.
Learning Objectives
- Developing ability to think, read and write abstractly and Mathematically.
- Learning fundamentals of Set Theory.
- Understanding tautologies, contradictions, De Morgan's Laws in Logic.
- Creating truth tables for compound statements.
- Writing, reading and proving Mathematical statements.
- Understanding boolean expressions, logical gates and digital circuits.
- Understanding the Fundamental Theorem of Arithmetics, modular arithmetic.
- Acquiring a solid foundation in functions.
- Finding equivalence relations and equivalence classes.
- Learning essential concepts in Statistics and Combinatorics.
- Mastering arithmetic and geometric sequences, and partial sums.
- Learning fundamental concepts in Graph Theory.