Learn Real Analysis the fun way

Delve into the rigorous study of functions, sequences, and limits in mathematics.

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How it works

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Why learners trust StudyGenius for Real Analysis

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Understand sequences, series, limits, and continuity rigorously.

Explore differentiability and the formal foundations of calculus.

Develop proof-writing and logical reasoning skills.

Course Overview

Course Overview: Real Analysis

Real Analysis introduces the formal foundations of calculus, focusing on sequences, series, limits, continuity, and differentiability. Students explore rigorous definitions, proofs, and theorems that underpin calculus and advanced mathematics. The course emphasises logical reasoning, critical thinking, and problem-solving, preparing learners to understand and construct precise mathematical arguments. By linking theoretical concepts with structured exercises, students develop the analytical skills necessary for higher-level mathematics, including functional analysis, topology, and applied mathematical research.

Understand sequences, series, limits, and continuity rigorously.

Explore differentiability and the formal foundations of calculus.

Develop proof-writing and logical reasoning skills.

Apply real analysis concepts to advanced mathematics and research.

Strengthen analytical and critical thinking for complex problem solving.

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Learn Mathematics Courses with fast, gamified quizzes you can play solo or against others—perfect for building knowledge and recall, not replacing deep practice.