Many students find this course challenging because it requires a shift from procedural math (following steps to get an answer) to conceptual thinking (understanding why algorithms and proofs work). Additionally, students must learn to think abstractly about logic and formal reasoning while simultaneously applying these ideas to real computational problems—a combination that takes time to master.

Personalized 1-on-1 instruction allows tutors to break down proof strategies step-by-step, showing you how to identify what you know, what you need to prove, and which proof technique (direct, contradiction, induction) fits best. Working through multiple proof examples with a tutor helps you recognize patterns and build confidence in constructing your own rigorous arguments.

This course teaches you how to express algorithms formally using logical notation and how to verify they work correctly through proof techniques. Understanding this connection helps you write better code, debug more effectively, and appreciate why certain algorithmic approaches are more efficient than others—skills that matter throughout your computer science career.

During your first session, a tutor will assess your current understanding of key topics like logic, sets, and basic proof techniques, identify specific areas where you're getting stuck, and learn about your learning style and goals. From there, you'll develop a personalized plan focused on building both conceptual understanding and problem-solving confidence in the areas that matter most to you.

Showing your work isn't just about getting credit—it's how you (and your tutor) can identify exactly where your thinking breaks down. In this course, the reasoning process is as important as the final answer, and detailed work helps you see patterns, catch logical errors, and develop stronger problem-solving strategies that transfer to coding and algorithm design.

Varsity Tutors connects you with tutors who have strong backgrounds in discrete mathematics, computer science theory, and proof techniques. When you get matched with a tutor, you can discuss your specific curriculum, textbook, and learning goals to ensure they're the right fit for helping you master this foundational material.

One-on-one instruction lets tutors work at your pace, celebrate small wins, and gradually build your comfort with abstract thinking without the pressure of a classroom. When you understand not just how to solve a problem but why the solution works, confidence naturally grows—and that confidence carries over to tackling harder proofs and algorithms on your own.