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 (used in ECE311)
• Trigonometric Identities
• Complex Number Identities and Formulas
• basic signals and functions (used in ECE301, ECE438)
• Signal Metrics Definitions and Formulas (used in ECE301, ECE438)

Calculus

• Derivatives
• Indefinite Integrals
• Definite Integrals
• Power Series (used in ECE301, ECE438)

Transforms

• 1D Transforms
  • Laplace Transform Pairs and Properties (used in ECE301, ECE438)
  • Continuous-time Fourier Transform Pairs and Properties (function of radial frequency- in radians per time unit) (used in ECE301)
  • Continuous-time Fourier Transform Pairs and Properties (function of frequency f in hertz) (used in ECE438)
  • Discrete-time Fourier Transform Pairs and Properties (used in ECE301, ECE438)
  • Discrete Fourier Transform Pairs and Properties (used in ECE438)
  • Z Transform Pairs and Properties (used in ECE438)

• 2D Transforms
  • Continuous Space Fourier Transform (2D Fourier transform; frequency in hertz)

Probability

• Probability Formulas
• Probability Distribution

Conversion Factors

• Conversion Factors

Inequalities

• Inequalities

Useful tricks and techniques

• A guide to partial fraction expansion