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Society for Industrial and Applied Mathematics
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Mathematics and Computer Science: Bonnie Berger at MIT
Features Bonnie Berger, a professor at MIT, discussing mathematics and computer science.
AI for Science
Explores fundamental principles in scientific research, the impact of computers, numerical algorithms, and deep learning in solving high-dimensional problems.
Calculus of Variations: Introduction
Introduces calculus of variations with examples like the Brachistochrone problem in an applied context.
UVS: Online Tutoring Certificate
Introduces the online tutoring certificate program at UVS and its impact on distance education.
Nonlinear Equations: Methods and Applications
Covers methods for solving nonlinear equations, including bisection and Newton-Raphson methods, with a focus on convergence and error criteria.
Diffusion Equations: Green's Function Approach
Covers the analysis and solution of diffusion equations using Green's function approach and discusses boundary conditions and dimensional analysis.
Laplace Transform: Solving Differential Equations
Discusses the application of the Laplace transform to solve differential equations and explores its properties and examples.
Black-Scholes-Merton Model
Covers the Black-Scholes-Merton model, stock dynamics, option pricing, and replicating strategies.
Applications of Quantum Science: Densities and Statistics
Covers the applications of densities and statistics in quantum science, focusing on binomial and Poisson distributions.
Stochastic Differential Equations
Covers Stochastic Differential Equations, Wiener increment, Ito's lemma, and white noise integration in financial modeling.