Real Analysis I - UJ

The Real Number System: Establishing the foundational axioms, algebraic structures, and topological completeness that separate real numbers from rational numbers.Sequences and Convergent Series: Proving numerical limits using rigorous ε-N bounds and tracking behavior through monotonic trends.Limits & Continuity (Rigorous): Stripping away the intuitive graphical definitions of Calculus I to construct mathematically flawless proofs of limits and structural continuity.Foundations of Differentiation: Verifying the precise mathematical underpinnings, constraints, and universal theorems governing derivatives.