Linear transformations. Linear operators, change of basis, inner product and the diagonalization problem. Quadratic forms. Convex sets and geometric programming, input/output models for an economy, ...

This is a subject I struggled with the first time I took it. Ironically, this was the engineering version of it. It wasn't until I took the rigorous, axiomatic version that everything clicked.

This equation is in the standard form of a linear equation: A x + B y = C, where A, B, and C are constants. The variable x is raised to the power of 1. The variable y is raised to the power of 1. The ...