This course provides a complete introduction to discrete mathematics, focusing on logic and reasoning. It begins with basic propositions, negations, conjunctions, and disjunctions, teaching students how to form and interpret logical statements effectively. Understanding these foundational concepts is essential for problem-solving in mathematics, computer science, and related fields.

Next, the course explores implications, including converse, inverse, contrapositive, and biconditionals, helping learners analyze complex logical relationships and draw valid conclusions. Students then learn to construct truth tables for compound propositions, visualizing the truth values of logical expressions and verifying their correctness.

The course also covers translating standard logic statements into formal expressions, ensuring that learners can convert real-world problems into mathematical logic. Practical exercises include solving logic puzzles, which strengthen critical thinking and the application of logical principles.

By the end of this course, students will have a strong understanding of logical propositions, truth tables, and problem-solving techniques in discrete mathematics, equipping them with skills that are essential in computer science, algorithm design, and advanced mathematical reasoning.