Math Thought

Course Description: Mathematics is the science of numbers, in which patterns are analyzed through logical reasoning and quantitative calculations to comprehend the universe in which we live; thereby, providing us with a means to understand reality and truth. In this course, the students will be introduced to various topics to help them become more proficient in logic and reasoning.

We will investigate various logical constructs with applications in digital circuits. We discuss how to determine the validity of a given argument. Students will learn how to develop and apply various mathematical proof techniques, emphasizing understanding mathematical induction. Students will learn how to reason via set theory, and obtain a better understanding of equivalence relations.  Furthermore, students will be able to analyze networks and the efficiency of algorithms.

In this course, we will study various aspects of discrete mathematics. Topics include logic, set theory, mathematical proofs, recurrence relations, and other topics.