MATH102, Further Calculus

Undergraduate course, Lancaster University, Department of Mathematics & Statistics, 2018

My role: Graduate Teaching Assistant

Main topics:

Functions of two or more real variables;

Partial derivatives;

Curves in the plane;

Implicit functions;

The chain rule for differentiating along a curve;

Integration of rational functions;

Improper integrals;

Integration over infinite ranges;

First-order differential equations: integrable, separable, linear;

Second-order differential equations with constant coefficients:

Laplace transforms;

Stationary points for functions of two real variables;

Double and repeated integrals.