Numerical Modeling
Learn to solve linear and nonlinear algebraic equations using various numerical methods and MATLAB, including Gaussian elimination, Newton-Raphson, and secant methods for practical engineering applications.
Power Electronics: State Space Averaging and Linearization - Lecture 25
Explore state space averaging for modeling switching converters and linearization of nonlinear averaged models to realize control-to-output transfer functions in power electronics.
Linear Algebra
Explore fundamental concepts of linear algebra, including vector spaces, linear transformations, and group theory, enhancing mathematical problem-solving skills.
Evaluating Limits
Explore the concept of limits in calculus, covering definitions, asymptotes, limit laws, continuity, and the Intermediate Value Theorem through practical examples and theorems.
Applications of Differentiation
Explore advanced calculus concepts including extrema, graphing techniques, L'Hospital's Rule, optimization problems, and related rates through practical applications and problem-solving.
Digital Signal Processing Lectures, Fall 2014
Comprehensive lectures on digital signal processing, covering signals, systems, transforms, filtering, and advanced topics. Ideal for engineering students seeking in-depth understanding of DSP concepts and applications.
Solving Linear Equations with Fractions - Best and Worst Methods
Discover the best and worst methods for solving a basic algebra equation involving fractions in this 11-minute educational video. Learn how to tackle the equation 7/13x = 5/17 and find the value of x. Explore various problem-solving techniques and unders…
Cohomological Hall Algebra of Cyclic Quivers and Integral Form of Affine Yangians
Explore the intricate world of Hall algebra-type constructions and their applications in a lecture by Shivang Jindal from the University of Edinburgh. Delve into the complexities of studying algebras related to the moduli space of representations of the…
A Polynomial Bogolyubov-Type Result for the Special Linear Group
Explore a mathematical lecture on a polynomial Bogolyubov-type result for the special linear group. Delve into the analogy between subset properties in finite dimensional vector spaces and the special linear group over a finite field. Learn about the ach…
Two-sided Lieb-Thirring Bounds for Semi-bounded Schrödinger Operators
Explore upper and lower bounds for eigenvalues of semi-bounded Schrödinger operators, focusing on atomic Hamiltonians with Kato potentials and the landscape function in all spatial dimensions.
Simplifying Numeric Expressions with Powers - Basic Math Practice Problem
Simplify a complex numeric expression using order of operations and PEMDAS. Master essential problem-solving skills for basic math calculations involving exponents and division.
Projector Monte Carlo and Exact Diagonalization with Rimu.jl
Explore quantum many-body physics with Rimu.jl: implement projector Monte Carlo, perform exact diagonalization, and extend models using Julia's speed and flexibility.
Computation as Semigroups, Computing Semigroups
Explore the intersection of semigroups, computation, and functional programming. Gain insights into mathematical foundations of software engineering from a unique perspective.
A Short Introduction to Sarkisov Theory
Explore Sarkisov theory with Sokratis Zikas in this concise introduction, part of IMPA's algebra community showcase featuring new postdoc fellows and their research interests.
Algebraic Hyperbolicity and Research Interests in Algebra
Explore algebraic hyperbolicity and other research interests with Lucas Mioranci at IMPA. Gain insights into advanced algebraic concepts and current mathematical investigations.
Random Graphs and Nonlinear Spectral Gaps
Explore discrete Poincaré inequalities in regular expander graphs, long-range expansion properties, and their implications for Banach space-valued functions, with improved estimates for Poincaré constants.
Chiral Homology of P1 and Factorization - Algebra at IMPA
Explore chiral homology of P1 and factorization in advanced algebra. Gain insights from IMPA postdoc Juan Guzman's research in algebraic geometry and topology.
Finite Irreducible Modules over the Conformal Superalgebras K4 and CK6
Explore finite irreducible modules over conformal superalgebras K4 and CK6. Gain insights into advanced algebraic concepts and their applications in mathematical research.
Concept Maps Using C++23 Library Tech - Indirection to APIs for a Concept - Lecture
Explore concept maps in C++23, using inline variable templates to achieve benefits similar to C++0x Concepts. Learn advanced techniques for implementing flexible data structures with monoid-based tags.
Solving Exponential Equations - How to Find x in 2^x = 9
Learn to solve exponential equations like 2^x = 9 using logarithms. Master this essential algebra skill for more advanced math problems.
Square Root of Absolute Value and Exponent Expression - Basic Math Practice
Aprenda a calcular la raíz cuadrada de una expresión numérica compleja. Domine los conceptos básicos de matemáticas con este ejercicio práctico.