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

The theory of Appell polynomials has long intrigued researchers due to its elegant algebraic structure and rich connections with differential equations. At its core, an Appell sequence is ...

SIAM Journal on Applied Mathematics, Vol. 43, No. 6 (Dec., 1983), pp. 1259-1273 (15 pages) A constructive algorithm is developed to determine whether or not a given linear p.d.e. can be mapped into a ...

We mentioned before about the \(+ c\) term. We are now going to look at how to find the value of \(c\) when additional information is given in the question.

An equation is a statement with an equals sign, stating that two expressions are equal in value, for example \(3x + 5 = 11\) Solving an equation means finding the value or values for which the two ...

Luis Caffarelli has won the 2023 Abel prize, unofficially called the Nobel prize for mathematics, for his work on a class of equations that describe many real-world physical systems, from melting ice ...