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

The importance of similarity transformations and their applications to partial differential equations is discussed. The theory has been presented in a simple manner so that it would be beneficial at ...

We present Bäcklund transformations for the non-commutative anti-self-dual Yang-Mills equation where the gauge group is G = GL(2), and use it to generate a series of exact solutions from a simple seed ...

To tackle Fourier Series or solve Differential Equations this e-shelf provides a good starting point for revision and practice The resources below revisit complex Maths topics included your STEM ...

Arithmetic geometry and p-adic differential equations form a dynamic nexus where number theory, algebraic geometry and p-adic analysis converge. This interdisciplinary field investigates the solutions ...

(1) Linear Algebra: Vector spaces over R and C, linear dependence and independence, subspaces, bases, dimension; Linear transformations, rank and nullity, matrix of a linear transformation. Algebra of ...

Reflect the shape in the line \(x = -1\). The line \(x = -1\) is a vertical line which passes through -1 on the \(x\)-axis. The line \(y = 1\) is a horizontal line which passes through 1 on the ...