Introduces ordinary differential equations, systems of linear equations, matrices, determinants, vector spaces, linear transformations, and systems of linear differential equations. Prereq., APPM 1360 ...

These pages provide a showcase of how to use Python to do computations from linear algebra. We will demonstrate both the NumPy (SciPy) and SymPy packages. This is meant to be a companion guide to a ...

THIS book gives a connected account of the author's researches on the algebraic side of the theory of differential equations and forms a welcome addition to the literature of the subject ...

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, ...

Masaki Kashiwara has won the 2025 Abel prize, seen by some as the Nobel of mathematics, for his contributions to algebraic ...

An algebraic equation contains one or more letters in it. Each letter in the equation is called a variable. A variable can change in value. We guess at different values for each letter until our ...

Basic linear algebra methods including basic matrix/vector operations, solution of linear systems of equations, eigenvalues, and singular values. Focus will be on applications of the methods on a ...

\(\mathbf{ax^2 + bx + c = 0}\) where \(a\), \(b\) and \(c\) are numbers. Both \(b\) and/or \(c\) can be equal to zero. In this section, solving equations where \(a >1 ...

Understanding and implementation of algorithms to calculate matrix decompositions such as eigenvalue/vector, LU, QR, and SVD decompositions. Applications include data-fitting, image analysis, and ...

The DC operating points determination needs the solution of system of non-linear algebraic equation. DC operating points are usually calculated by the Newton-Raphson algorithm. The newton-raphson ...