Studies properties and solutions of partial differential equations. Covers methods of characteristics, well-posedness, wave, heat and Laplace equations, Green's functions, and related integral ...

Covers asymptotic evaluation of integrals (stationary phase and steepest descent), perturbation methods (regular and singular methods, and inner and outer expansions), multiple scale methods, and ...

In this video, we explain vectors and derivatives as essential math methods used in physics, showing how they describe motion, direction, and change. Clear explanations and examples help connect ...

AWAY to solve linear differential equations by operational methods which avoid the introduction of arbitrary constants by taking direct account of the initial conditions was invented by Oliver ...

Among high school students and adults, girls and women are much more likely to use traditional, step-by-step algorithms to ...

Debbie Morgan smiles with pride when a previously underperforming British student gives a correct answer in class after learning math the Shanghai way. "Shanghai math embodies a belief that every ...

※ Affiliations and titles are as of the end of the research activity. In this research area, mathematicians and researchers applying mathematics form research teams to attack social issues which have ...

The financial industry increasingly relies on large volumes of numerical data as financial products become more complex. As a result, analysts and financial engineers have turned to computational ...