Vectors in the plane and space, and an introduction to complex numbers. Integral Calculus:
: Definitions of range, pre-image, injective/surjective properties, and elementary functions like powers, exponentials, and logarithms.
Mathematical Analysis I (often abbreviated as ) is a widely used textbook in the first-year university course on real analysis. Co‑authored by Claudio Canuto and Anita Tabacco , the book presents the foundational concepts of real variable theory, sequences, series, continuity, differentiation, integration, and the basic topology of ℝⁿ. Since its first edition, the text has been praised for its clear exposition, abundant examples, and a pedagogical structure that balances rigor with intuition.