Collective Table of Formulas and Properties

This is a table of formulas collectively created by members of the Purdue community. Help someone tomorrow by adding a formula today!

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General Formulas

• Vector Identities and Operator Definitions
• Trigonometric Identities
• Complex Number Identities and Formulas
• Power Series (used in ECE301, ECE438)
• basic signals and functions (used in ECE301, ECE438)
• Signal Metrics Definitions and Formulas (used in ECE301, ECE438)

Calculus

• Derivatives
• Indefinite Integrals
• Definite Integrals

Transforms

• Laplace Transform Pairs and Properties (used in ECE301, ECE438)
• Continuous-time Fourier Transform Pairs and Properties (function of $ \omega $ in radians per time unit) (used in ECE301)
• Continuous-time Fourier Transform Pairs and Properties (function of $ f $ in hertz) (used in ECE438)
• Discrete-time Fourier Transform Pairs and Properties (used in ECE301, ECE438)
• Discrete Fourier Transform (used in ECE438)

Probability

• Probability Formulas

Useful tricks and techniques

• A guide to partial fraction expansion

All formulas combined

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