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 Differential Equations Differential Equations are the language in which the laws of nature are expressed. Understanding properties of solutions of differential equations is fundamental to much of contemporary science and engineering. Ordinary differential equations (ODEs) deal with functions of one variable, which can often be thought of as time. Topics include: Solution of first-order ODE's by analytical, graphical... http://academicearth.org/mathematics/
 Introduction to Linear Dynamical Systems Introduction to applied linear algebra and linear dynamical systems, with applications to circuits, signal processing, communications, and control systems. Topics include: Least-squares approximations of over-determined equations and least-norm solutions of underdetermined equations. Symmetric matrices, matrix norm and singular value decomposition. Eigenvalues, left and right eigenvectors, and... http://academicearth.org/mathematics/
 Math and Probability for Life Sciences This is a math course, authored by Herbert Enderton of the University of California, Berkeley, aims at students with life science majors covering elementary probability, probability distributions, random variables, and limit theorems. This is a great series of exercises for students looking for an introductory lesson. http://academicearth.org/mathematics/
 Multivariable Calculus This series of videos, created by Michael Hutching of the University of California, Berkeley, introduces parametric equations and polar coordinates. Vectors in 2- and 3-dimensional Euclidean spaces. Partial derivatives. Multiple integrals. Vector calculus. They also discuss theorems such as Green, Gauss, and Stokes. http://academicearth.org/mathematics/
 Linear Algebra This is a basic course, produced by Gilbert Strang of the Massachusetts Institute of Technology, on matrix theory and linear algebra. Emphasis is given to topics that will be useful in other disciplines, including systems of equations, vector spaces, determinants, eigenvalues, similarity, and positive definite matrices. http://academicearth.org/mathematics/
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