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Lesson Plan
Curated OER

Exploring Harmonic Conjugates

For Teachers 9th - 10th
High schoolers investigate harmonic conjugates using Cabri Software or the Ti Calculator to analyze harmonics. They explore different angles measurements as they move their circles around and solve problems.
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Worksheet
Curated OER

Math 312 Spring 2004: Harmonic Conjugates

For Students Higher Ed
In this harmonic conjugates worksheet, students demonstrate the use of Cauchy-Riemann equations and harmonic functions. They find the imaginary part of a function, show the harmonic conjugates of an equation, and map images. This...
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Worksheet
Curated OER

Complex Analysis: Harmonic Functions

For Students Higher Ed
In this harmonic function worksheet, students explore harmonic functions and construct a harmonic conjugate. This three-page worksheet contains three problems, with explanations and examples.
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Worksheet
Curated OER

Math 312. Harmonic Functions

For Students Higher Ed
In this harmonic function worksheet, students use the Cauchy-Riemann equations to find the imaginary part of the function. They explore the harmonic conjugate and solve a 2-dimensional Laplace equation. This two-page worksheet contains...