'''Mathematical methods''' are integral to the study of '''electronics'''.
==Mathematics in Electronicselectronics==
[[Electronics Engineeringengineering]] careers usually include courses in [[Calculuscalculus]] (single and [[Multivariablemultivariable Calculuscalculus|multivariable]]), [[Complexcomplex analysis|Complex Analysis]], [[Differentialdifferential Equationsequations]] (both [[Ordinaryordinary differential equation|ordinary]] and [[Partialpartial differential equation|partial]]), [[Linearlinear Algebraalgebra]] and [[Probabilityprobability]]. [[Fourier Analysisanalysis]] and [[Z-transform|Z-Transforms]]s are also subjects which are usually included in [[electrical engineering]] programs.
==Basic applications==
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*[[Ohm's law]]: the voltage across a resistor is the product of its resistance and the current flowing through it.at constant temperature.
*[[Norton's theorem]]: any two-terminal collection of voltage sources and resistors is electrically equivalent to an ideal current source in parallel with a single resistor.
*[[TheveninThévenin's theorem]]: any two-terminal combination of voltage sources and resistors is electrically equivalent to a single voltage source in series with a single resistor.
*[[Millman's Theorem|Millman's theorem]]: the voltage on the ends of branches in parallel is equal to the sum of the currents flowing in every branch divided by the total equivalent conductance.
* See also [[Analysis of resistive circuits]].
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==Signal analysis==
* [[Fourier analysis]]. Deconstructing a [[Wave|periodic]] waveform into its constituent frequencies; see also: [[Fourier theorem]], [[Fourier transform]].
