Convergent Semi-Lagrangian Methods for the Monge-Ampère Equation on Unstructured Grids
Explores semi-Lagrangian discretisation of Monge-Ampère operator on P1 finite element spaces, discussing challenges and solutions for numerical methods in solving Monge-Ampère equations, with applications in inverse reflector problems.
Edith Elkind- Coalitional Games on Sparse Social Networks
Explore coalitional games on social networks, analyzing graph structures, computational complexity, and solution concepts for connected subsets of agents.
Panorama of Mathematics - Darrell Duffie
Explore price transparency in over-the-counter financial markets, focusing on federal funds, contacting investors, uncertainty, and benchmark manipulation.
Graphing with Derivatives - Differential Calculus
Explore graphing techniques using derivatives in differential calculus. Learn to analyze function behavior, identify critical points, and sketch accurate graphs with this practical example from Khan Academy.
Graphing Using Derivatives - Derivative Applications - Differential Calculus - Khan Academy
Learn to analyze and sketch functions using derivatives, exploring concepts like increasing/decreasing intervals, concavity, and inflection points in this comprehensive differential calculus lesson.
Monotonicity, Convexity, and Realization of Noncommutative Functions
Explore noncommutative functions, focusing on monotonicity, convexity, and realization. Delve into classical representations and modern approaches in matrix analysis and functional calculus.
Building Human Intelligence at Scale, to Save the Next Generation from ChatGPT
Innovative approaches to scale human intelligence and education in the era of AI, drawing from game theory and real-world problem-solving experiences across mathematics, pandemic control, and live math education.
Two Mathematicians, Their Work and Career Experiences - Radhika Ganapathy and Purvi Gupta
Explore cyclotomic fields in number theory and convexity in complex analysis through lectures by two accomplished mathematicians, offering insights into their research and career experiences.
Introduction to Nonlinear Dynamics - The Case of Catastrophe Theory by Vishwesha Guttal
Explore nonlinear dynamics and catastrophe theory in finance and macroeconomics. Learn alternative frameworks for analyzing modern financial systems and their economic impacts.
Finite Generation and K-Stability
Explore recent advances in birational geometry and their impact on K-stability, including finite generation of valuations and connections to major conjectures in algebraic geometry.
Homological Mirror Symmetry and Higgs-Coulomb Correspondence in Abelian GLSMs
Explore Higgs-Coulomb correspondence in abelian GLSMs, examining virtual counts of Landau-Ginzburg quasimaps and Mellin-Barnes integrals. Learn about wall-crossing and stability conditions in GLSM invariants.
Prealgebra - Solving Simple Interest and Compound Interest Problems
Learn to solve simple and compound interest problems, mastering essential financial math skills for real-world applications and personal finance management.
Calculus 3 - The Chain Rule for Multivariable Functions
Explore the Chain Rule for multivariable functions, focusing on derivatives involving parametrics and compositions. Derive the rule and practice with examples.
Calculus 3 - Derivatives and Integrals of Vector Functions
Explore derivatives and integrals of vector functions, focusing on tangent vectors, space curves, and initial value problems in this comprehensive mathematical lecture.
Calculus 2 - Derivatives and Integrals of General Exponential Functions
Explore derivatives and integrals of general exponential functions, enhancing your understanding of advanced calculus concepts and problem-solving techniques.
Calculus 2 - Derivatives and Integrals of Exponential Functions
Explore derivatives and integrals of exponential functions, mastering key concepts for advanced calculus applications and problem-solving techniques.
Calculus 2 - Derivatives of Inverse Functions
Explore the concept of derivatives for inverse functions, learning techniques to calculate and apply them in various mathematical scenarios.
Calculus 1 - Discussion of the Chain Rule for Derivatives of Functions
Comprehensive exploration of the Chain Rule, its applications, and problem-solving techniques for complex derivative calculations in calculus.
Solving Problems with Sales Tax, Commission, and Discount
Learn practical math skills for calculating sales tax, commission, and discounts, enhancing your ability to handle real-world financial scenarios confidently.
Population Growth and Decline - Differential Equations
Explore population dynamics through differential equations, examining growth and decline models before delving into harvesting concepts.
Integer Optimization for Predictive & Prescriptive Analytics in High Stakes Domains
Explore integer optimization techniques for developing interpretable, robust, and fair decision-tree models to assist high-stakes decision-making in social services and healthcare domains.