Harmonic Function Courses and Certifications

Hausdorff Center for Mathematics

Bounds on the Hausdorff Measure of Zero Sets of Steklov Eigenfunctions

Explore upper bounds on Hausdorff measure of Steklov eigenfunction zero sets, comparing with Laplace eigenfunctions and discussing recent breakthroughs in this mathematical domain.

• YouTube
• 31 minutes
• On-Demand
• Free Online Course

Hausdorff Center for Mathematics

Boundary Unique Continuation and the Estimate of the Singular Set

Explore boundary unique continuation for harmonic functions and its application in estimating singular sets of elliptic PDEs. Gain insights into local growth rates and their global implications in mathematical analysis.

• YouTube
• 49 minutes
• On-Demand
• Free Online Course

Approaching Music Theory: Melodic Forms and Simple Harmony

158 ratings at Coursera

Explore melodic structures, harmony, and music theory through diverse styles. Develop a theoretical vocabulary to enhance appreciation and analysis of musical compositions.

• Coursera
• 22 hours 20 minutes
• On-Demand
• Free Online Course (Audit)

Musicianship: Tensions, Harmonic Function, and Modal Interchange

397 ratings at Coursera

Explore advanced musicianship concepts including harmonic function, modal interchange, and chord tensions. Develop ear training skills and learn to compose using popular chord progressions.

• Coursera
• 10 hours 21 minutes
• On-Demand
• Free Online Course (Audit)

Joint Mathematics Meetings

Nonsmooth Boundary Value Problems

Explore nonsmooth boundary value problems in complex function theory, covering BMO functions, Hilbert transforms, and solvability in bounded domains. Insights into open problems and recent developments.

• YouTube
• 46 minutes
• On-Demand
• Conference Talk

GDC

Math for Game Programmers - Harmonic Functions and Mean-Value

Explore harmonic functions and mean-value parameterizations for procedural geometry in game development, with applications in mesh manipulation and UV generation.

• YouTube
• 30 minutes
• On-Demand
• Conference Talk

Fields Institute

Inverse Problems and the Anisotropic Calderón Conjecture

Explore geometric inverse problems, focusing on the Calderon Problem and its anisotropic variant. Learn about harmonic functions, complex geometric optics, and wave equation properties in this advanced mathematics lecture.

• YouTube
• 48 minutes
• On-Demand
• Free Online Course

Hausdorff Center for Mathematics

Henrik Shahgholian - Free Boundaries on Lattice, and Their Scaling Limits

Explore lattice-based potential theory, examining harmonic functions and free boundary problems. Discover intriguing numerical results and their implications for facet formation in scaling limits.

• YouTube
• 1 hour 3 minutes
• On-Demand
• Free Online Course

Steve Brunton

Complex Analysis - Analytic Functions Solve Laplace's Equation

Explore how analytic complex functions' real and imaginary parts solve Laplace's equation, introducing harmonic functions in this in-depth mathematical analysis.

• YouTube
• 41 minutes
• On-Demand
• Free Online Course

Теория функций комплексного переменного

Войдите в мир математики — и это поможет вам добиться успеха практически в любой профессиональной деятельности!

• edX
• 13 weeks, 2-6 hours a week
• Finished
• Free Online Course (Audit)

Уравнения математической физики. Часть 2

Войдите в мир математики — и это поможет вам добиться успеха практически в любой профессиональной деятельности!

• edX
• 5 weeks, 1-2 hours a week
• Finished
• Free Online Course (Audit)