Eigenvalues, Eigenvectors, and Dynamical Systems
Explore eigenvalues, eigenvectors, and dynamical systems in engineering mathematics, focusing on their applications and significance in solving complex problems.
Higher-Order ODEs, Characteristic Equation, Matrix Systems of First Order ODEs
Explore higher-order linear ODEs, characteristic equations, and matrix systems of first-order equations in engineering mathematics, with accompanying notes and MATLAB code.
Taylor Series and Solutions to First and Second Order Linear ODEs
Explore Taylor series and solutions to linear ODEs, enhancing your understanding of engineering mathematics with practical applications and MATLAB code examples.
The Linear Algebra Mapping Problem and How Programming Languages Solve It
Explore the Linear Algebra Mapping Problem and its solutions in programming languages. Gain insights into high-performance computing and matrix operations for scientific applications.
Calcium Imaging Data Cell Extraction
Learn advanced techniques for extracting neuronal signals from calcium imaging data using CNMF-E, a matrix factorization approach. Improve signal quality and detection in microendoscopic recordings of deep brain activity.
Second Order Harmonic Oscillator, Characteristic Equation, Ode45 in MATLAB
Explore second-order harmonic oscillators, characteristic equations, and ode45 in MATLAB through practical examples and hands-on coding for engineering mathematics applications.
Classical and Generalized Least Squares
Explore advanced least squares techniques for analytical chemistry, including applications in microplastics detection and spectral analysis of biological samples.
Deep Learning in MATLAB: From Algorithm Design to Embedded Deployment on NVIDIA Jetson
Explore deep learning in MATLAB, from transfer learning to GPU deployment on NVIDIA Jetson. Learn algorithm design, CUDA compilation, and performance optimization for embedded systems.
Solving PDEs in Matlab Using FFT
Learn to solve partial differential equations efficiently using Fast Fourier Transform in MATLAB, enhancing your engineering mathematics skills for advanced problem-solving.
Trajectories with Prescribed Itineraries in the Three-Body Problem - MATLAB Tutorial
Learn to generate trajectories with prescribed itineraries in the planar CR3BP using numerical methods. Includes MATLAB tutorial for computing periodic orbits, invariant manifolds, and Poincaré sections.
ExpertPLS - A MATLAB Toolbox for Spectral Preprocessing Selection
Automated MATLAB toolbox for spectral preprocessing selection, quantifying noise and scatter effects to optimize PLS models efficiently and objectively, surpassing trial-and-error methods.
Deep Learning for Symbolic Mathematics
Explore neural networks solving complex mathematical problems like symbolic integration and differential equations, outperforming traditional Computer Algebra Systems.
Multi-Way Analysis - The Algorithm
Explore the alternating least squares algorithm for multi-way analysis, focusing on PARAFAC modeling in chemometrics. Learn about notation, potential problems, and alternative approaches.
Essentials of Math Modeling - Introduction to Regression and Statistical Ideas
Explore linear regression, data transformations, and statistical concepts in mathematical modeling. Learn MATLAB examples, sensitivity analysis, and problem-solving techniques for real-world applications.
Essentials of Math Modeling - Session 5 - Probabilistic Models
Explore probabilistic models, including Markov chains and Metropolis-Hastings algorithm, with practical exercises and problem-solving sessions using MATLAB for mathematical modeling applications.
Essentials of Math Modeling - Intro to Data Analysis Using MATLAB and Excel
Learn data analysis techniques using MATLAB and Excel, covering SI models, plotting, data importing, and problem-solving with real-world examples from mathematical modeling challenges.
Essentials of Math Modeling - Basic Programming in MATLAB
Learn essential MATLAB programming concepts for mathematical modeling, including variables, data types, loops, and functions. Practice with real-world problem-solving using the M3 Challenge 2019 submission analysis.
Essentials of Math Modeling - Overview of the Math Modeling Process
Comprehensive overview of mathematical modeling process, covering problem definition, assumptions, variables, solution building, analysis, and result reporting. Includes hands-on problem-solving sessions.
Raising the Abstraction Level
Explore how high-level MATLAB code can be converted to efficient C++ or CUDA, integrating hand-coded sources and using modern tools for bug detection and runtime error prevention.
Offline Bayesian Estimation - MATLAB Demo
Explore offline Bayesian estimation techniques through hands-on MATLAB demonstrations and practical applications.
Cell Arrays and Structures in MATLAB
Explore cell arrays and structures in MATLAB for handling non-rectangular data and complex data structures. Learn practical applications and use cases.