Review of limits and derivatives of exponential, logarithmic and rational functions. Trigonometric functions and their inverses. The derivatives of...

Differential Calculus including limits, continuity, differentiation rules, implicit differentiation, related rates, maxima and minima, differentiation...

For students requiring the equivalent of a full course in calculus at a less rigorous level than

An enriched version of Calculus 1000A/B. Basic set theory and an introduction to mathematical rigour. The precise definition of limit. Derivatives of...

Students who intend to pursue a degree in Actuarial Science, Applied Mathematics, Astronomy, Mathematics, Physics, or Statistics should take this...

Three dimensional analytic geometry: dot and cross product; equations for lines and planes; quadric surfaces; vector functions and space curves; arc...

Integral calculus of functions of several variables: double, triple and iterated integrals; applications; surface area. Vector integral calculus:...

Functions of multiple variables and their differential calculus. The gradient and the Hessian. Constrained and unconstrained optimization of...

Differential calculus of functions of several variables: level curves and surfaces; limits; continuity; partial derivatives; total differentials;...

Integral calculus of functions of several variables: multiple integrals; Leibnitz' rule; arc length; surface area; Green's theorem; independence of...