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Properties of Convex Functions

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University of Washington·Steve Brunton

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Properties of Convex Functions

University of Washington

11:39·2026·undergraduate·Standalone Lecture

An introduction to the fundamental properties of convex functions, exploring the effects of linear transformations and function composition on convexity. Produced at the University of Washington.

Introduces some of the important properties of convex functions, focusing on the effect of linear transformations and composition on function convexity.

Engineering Convex Optimization Convexity, Duality & Linear Programming Vector Spaces & Subspaces Convex Analysis Convex Functions

About the lecturer

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Website Scholar

Professor of Mechanical Engineering & Adjunct Professor of Applied Mathematics, University of Washington

University of Washington Professor known for data-driven dynamical systems, SINDy, Koopman operator theory, and control engineering.

2 courses · 22 lectures in archiveView profile

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Books by the lecturer

BruntonData-Driven Science and EngineeringCUP · 2022

Data-Driven Science and Engineering

Steven L. Brunton & J. Nathan Kutz

Cambridge University Press · 2022 · 2nd Edition

Steve Brunton and Nathan Kutz's comprehensive synthesis of SVD, Fourier transforms, system identification, Koopman operators, and optimal control.

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Curriculum & Scholar Web

3 linked

Alma Mater1 courses · 41 lectures

Princeton University

Ph.D. Mechanical and Aerospace Engineering, Princeton University (2012, advisor: Clarence W. Rowley)

Faculty Appointment2 courses · 28 lectures

University of Washington

Professor of Mechanical Engineering, University of Washington (2014–present)

More from Steve Brunton

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Optimization: A Bootcamp for Machine Learning, Inverse Problems, and Control

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Alma Mater6 courses · 76 lectures

B.S. Mathematics & Control and Dynamical Systems, Caltech (2006)