teachings
Tutorials at the University of Toronto
MAT186H1: Calculus I
Topics include: limits and continuity; differentiation; applications of the derivative - related rates problems, curve sketching, optimization problems, L’Hopital’s rule; definite and indefinite integrals; the Fundamental Theorem of Calculus; applications of integration in geometry, mechanics and other engineering problems.
MAT187H1: Calculus II
Topics include: techniques of integration, an introduction to mathematical modeling with differential equations, infinite sequences and series, Taylor series, parametric and polar curves, vector-valued functions, partial differentiation, and application to mechanics and other engineering problems.