MAT137Y1Undergraduate · Year 1 Foundation
University-Related Course Resource

Calculus with Proofs

Department of Mathematics, University of Toronto

A proof-oriented single variable calculus course emphasizing rigorous reasoning, theoretical definitions, and analytical problem-solving at U of T.

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Topic 1 of 5Calculus Foundation

Calculus Concepts: Limits and Continuity

Topic 2 of 5Differential Calculus

Derivative Computation: Rules and the Chain Rule

Topic 3 of 5Analysis & Extrema

Optimization in Calculus: Local Extrema and Applications

Topic 4 of 5Integral Calculus

Integral Methods: Area, Accumulation and the FTC

Topic 5 of 5Linear Analysis

Algebraic Systems: Matrix Computation and Determinants

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