Linearization Courses and Certifications

Steve Brunton

Linearizing Around a Fixed Point - Control Bootcamp

Explore linearization of nonlinear systems around fixed points, demonstrated with a simple pendulum example using both manual calculations and MATLAB implementation.

• YouTube
• 31 minutes
• On-Demand
• Free Video

NPTEL;  IIT Bombay

Advanced Process Control

9 reviews

Comprehensive exploration of advanced process control techniques, covering linearization, modeling, stability analysis, stochastic processes, and control design methods for complex industrial systems.

• YouTube
• 1 day 10 hours
• On-Demand
• Free Video

Calculus: Single Variable Part 2 - Differentiation

5 reviews

Calculus is one of the grandest achievements of human thought, explaining everything from planetary orbits to the optimal size of a city to the periodicity of a heartbeat.

• Coursera
• 10 hours
• On-Demand
• Free Online Course (Audit)

Calculus II: Multivariable Functions

7 ratings at edX

This course provides an overview of bachelor-level calculus of multivariable functions (Calculus II). You will review many basic concepts related to differentiation and integration of multivariable functions.

• edX
• 6 weeks, 4-6 hours a week
• On-Demand
• Free Online Course (Audit)

IIT Kanpur;  NPTEL

Analog VLSI Design

Introduces analog circuit design for integrated amplifiers using MOS transistors, covering linearization, biasing techniques, controlled sources, active loads, and multi-stage amplifiers with stability analysis.

• Swayam
• 12 weeks
• On-Demand
• Free Online Course

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.

• YouTube
• 51 minutes
• On-Demand
• Free Video

Steve Brunton

Drawing Phase Portraits for Nonlinear Systems

Learn to analyze nonlinear systems by drawing phase portraits, identifying fixed points, linearizing, and inferring global dynamics. Gain practical skills in stability analysis using eigenvalues and eigenvectors.

• YouTube
• 26 minutes
• On-Demand
• Free Video

Advanced Control System Design for Aerospace Vehicles

Comprehensive exploration of advanced control systems for aerospace vehicles, covering classical and modern techniques, flight dynamics, optimization, and adaptive designs for enhanced aircraft performance.

• YouTube
• 1 day 14 hours
• On-Demand
• Free Video

Institute for Advanced Study

Representation Theory & Combinatorics of the Symmetry Group and Related Structures - Monica Vazirani

Explore symmetry group representation theory and combinatorics, focusing on cycle notation, permutations, and linearization techniques for advanced mathematical analysis.

• YouTube
• 56 minutes
• On-Demand
• Free Video

Applied Algebraic Topology Network

Generalized Persistence Algorithm for Decomposing Multi-Parameter Persistence Modules

Explore a generalized persistence algorithm for decomposing multi-parameter persistence modules, enhancing topological data analysis with improved computational efficiency and structural insights.

• YouTube
• 54 minutes
• On-Demand
• Free Video

The Julia Programming Language

Matrix Calculus for Linear Algebra - MIT 18.06 Spring 2020

Comprehensive exploration of matrix calculus, covering gradients, Jacobians, and advanced concepts. Ideal for those seeking a deep understanding of mathematical foundations in linear algebra.

• YouTube
• 1 hour 11 minutes
• On-Demand
• Free Video

Krista King

AP Calculus AB and BC - Contextual Applications of Differentiation

Comprehensive review of contextual applications of differentiation, covering interpretation, motion analysis, rates of change, related rates, linearization, and L'Hospital's Rule for AP Calculus AB/BC.

• YouTube
• 45 minutes
• On-Demand
• Free Video

Steve Brunton

Topics in Dynamical Systems - Fixed Points, Linearization, Invariant Manifolds, Bifurcations & Chaos

Explore dynamical systems: fixed points, linearization, manifolds, bifurcations, and chaos. Gain insights into nonlinear dynamics and their applications in describing our changing world.

• YouTube
• 32 minutes
• On-Demand
• Free Video

TheIACR

Maximizing Small Root Bounds by Linearization and Applications to Small Secret Exponent RSA

Explore techniques for maximizing small root bounds through linearization, with applications to enhancing security in RSA cryptosystems using small secret exponents.

• YouTube
• 23 minutes
• On-Demand
• Free Video

Hausdorff Center for Mathematics

Numerical Multiscale Methods for Nonlinear and Randomly Perturbed Problems

Explore efficient numerical methods for complex multiscale problems, including nonlinear systems and random perturbations, using Localized Orthogonal Decomposition techniques.

• YouTube
• 50 minutes
• On-Demand
• Free Video