Quantitative Methods for Earth and Environmental Sciences

This course provides an introduction to the various mathematical techniques necessary for studying the Earth System and Environmental Sciences. Topics include: Foundational matrix methods, vectors and tensors as well as their linear transformations; methods for solving ordinary differential equations with examples in geochemistry, environmental chemistry and ecology; partial differentiation, line integrals and multiple integrals, and their applications in geophysics, atmospheric and ocean sciences; methods and intuition of vector calculus for use in mechanics with a focus on environmental systems.