The fundamental theorem of algebra states that every non-constant single-variable polynomial with complex coefficients has at least one complex root. Two important ...

Definite and indefinite integrals and the Fundamental Theorem of Calculus. Simple differential equations (separable ODE, linear ODE). ODE models leading to exponential growth and decay.

In an astonishing breakthrough, two young students from Louisiana have done what many thought was impossible: proving ...

One of the distinctive things about Axler's approach is that he introduces the theory of eigenvalues without using determinants (preferring instead to use the fundamental theorem of algebra).

The differences between the two are often unexpected and very surprising. You will develop the theory with applications such as evaluating path integrals via residue calculus, the fundamental theorem ...