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sequences-and-series

Euler's formula and complex exponentials

taught

Taught in

Euler's formula and complex exponentials
Calculus II — Integral Calculus & Infinite Series
Complex numbers, revisited for Fourier work
Digital Image Processing
Complex numbers and Euler's formula in the j convention
Digital Signal Processing
Complex numbers and Euler's formula, from scratch
Fourier Analysis
Fourier series on the circle: the geometric picture behind periodicity
Fourier Analysis
Complex numbers and Euler's formula
Ordinary Differential Equations

Requires

Nothing — this is foundational.

Required by

Orthogonality of the sine/cosine family on an interval required
The complex exponential function required
The complex form of the Fourier series required
The idea of decomposing a signal into frequencies required

Local knowledge map

Local knowledge map

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Solid arrows are required prerequisites; dashed are recommended or helpful. Lower rows are more foundational. Click any box to jump to that concept.