Control Bootcamp
Rapid overview of optimal control concepts, covering controllability, observability, LQR, and Kalman filter. Applies main approaches to simple Matlab examples for practical understanding.
Advanced Matrix Theory and Linear Algebra for Engineers
Comprehensive exploration of advanced linear algebra concepts for engineers, covering vector spaces, transformations, orthogonality, diagonalization, and singular value decomposition.
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.
Systems of Equations and Inequations
Comprehensive exploration of linear systems, covering solutions, substitution, elimination, and graphing methods. Includes extensive practice problems for mastery.
Numerical Analysis With Matlab
Learn iterative methods, interpolation, and numerical integration techniques with Matlab implementations for solving complex mathematical problems.
A Second Course in Differential Equations
Explore advanced topics in ordinary differential equations, including linear systems, eigenvalues, numerical methods, and Python implementations for solving complex ODEs.
How -and Why- to Raise e to the Power of a Matrix
Explore matrix exponentiation through engaging examples, from love dynamics to quantum mechanics, with clear animations and intuitive explanations of complex mathematical concepts.
Solving Linear Systems in Three Variables Using Matrix Methods Practice Test Full Solutions
Comprehensive step-by-step solutions for solving linear systems in three variables using matrix methods, covering augmented matrices and row-echelon form across five practice sections.
Applications of Linear Systems Practice Test Full Solutions
Comprehensive step-by-step solutions for word problems involving linear systems, covering five sections of practice test questions in 49 minutes.
Applications of Linear Systems Practice Test Full Solutions
Step-by-step solutions for word problems involving linear systems of equations, covering various applications and problem-solving techniques in algebra.
Engineering Math Pre-Req - Quick and Dirty Introduction to Python
High-level introduction to essential Python commands for engineering math, covering arithmetic, loops, arrays, plotting, and solving equations and differential equations.
Sistemas Lineares e Problemas - Parte 2
Aprofunde-se em sistemas lineares e problemas matemáticos com o Professor Eduardo Wagner. Aprimore suas habilidades de ensino e expanda seu conhecimento em matemática do ensino médio.
Controllability - Control Bootcamp
Explore linear system controllability through intuitive examples and the controllability matrix rank test. Learn key concepts for understanding and analyzing system control.
Linear Systems - Control Bootcamp
Analyze ordinary differential equations using eigenvalues and eigenvectors, laying the foundation for linear control theory in this comprehensive mathematical exploration.
Lifting as an Abstraction for Control Synthesis in Cyber-Physical Systems
Explore control synthesis for cyber-physical systems through discrete abstractions and dynamic simplification via lifting, with insights on Koopman embeddings and potential applications.
Why is Reciprocity Useful in Practice? - Lecture 1.6
Explore the practical applications and benefits of reciprocity in electrical engineering, enhancing understanding of circuit analysis and design.
Dealing with Linear Constraints via Random Permutation
Explore linear constraint optimization using random permutation techniques, focusing on ADMM variants, spectral analysis, and convergence rates for large-scale problems.
Koopman Observable Subspaces and Finite Linear Representations of Nonlinear Dynamics for Control
Explore Koopman operator theory for simulating and controlling nonlinear dynamical systems using linear representations, with applications in optimal control and system analysis.
Linear Obstacles in Linear Systems and Ways to Avoid Them
Explore topology in control theory, focusing on obstacle-avoiding paths and cohomology rings using homotopy limits. Gain insights into theoretical computer science applications.
Numerical Methods
Comprehensive exploration of numerical methods covering error analysis, linear systems, interpolation, differentiation, integration, and solving algebraic equations using various techniques.
Sketching and Projecting
Explore sketching and projecting methods for linear systems and linear discriminant analysis, focusing on stochastic gradient approaches to achieve efficient solutions with reduced computational burden.