This course introduces the foundational concepts of discrete mathematics, emphasizing its applications in technical disciplines such as computer science and engineering. Key topics include set theory, algebraic structures, combinatorics, mathematical induction, relations, logic, functions, sequences, recursion, and graph theory. Students will develop essential problem-solving and logical reasoning skills through topics such as counting principles, modular arithmetic, and graph properties. The course places a strong focus on real-world problem-solving, mathematical modeling, and critical thinking, equipping students to tackle computational challenges and excel in technical fields.