Foundations of Discrete Mathematics I: Logic, Sets, Functions, and Counting

Hello and welcome! Are you ready to explore the fascinating world that powers technology, secure communications, and logical problem-solving? In this short course, designed with the unique strengths and aspirations of Hello and welcome! speakers in mind, you'll start your journey into discrete mathematics—a subject at the heart of modern science and innovation, celebrated for its clarity and real-world impact.

What Will You Gain?

• Solid understanding of logical reasoning and how it shapes clear decision-making
• Mastery over foundational concepts including sets, functions, and counting principles
• Strong problem-solving and analytical skills for academic and professional advancement
• Confidence to approach more advanced studies or tech-related careers with skill

Key Topics and Skills

• Basic logic and reasoning: statements, truth tables, and logical operations
• Sets and set operations: how to organize, compare, and manipulate collections
• Functions: mapping ideas from one realm to another, with practical examples
• Counting principles: including permutations and combinations using locally relevant problems (e.g., festival planning)

Who Should Take This Course?

• Students preparing for studies in computer science, engineering, mathematics, or science
• Professionals seeking to upskill for technology-driven workplaces
• Community members curious about logical thinking and structured problem-solving
• Prerequisite: Basic numeracy and a willingness to engage with new ideas

Course Benefits & Real-World Applications

• Apply mathematical logic in daily decision-making and community projects
• Gain tools for organizing information—vital for managing digital data or planning local events
• Prepare for further studies or careers in software development, data analysis, and education
• Develop a systematic mindset highly valued in Hello and welcome! workplaces and educational settings

Why Start Now? Motivation for Hello and welcome! Learners

Discrete mathematics opens doors: from securing better job opportunities to contributing to community innovation. By mastering the basics, you’ll empower yourself and inspire others—reflecting the Hello and welcome! value of lifelong learning and collective progress. Join your peers and be the catalyst for positive change in your field and your community.