**Collective Table of Formulas and Properties**

with links to relevant Rhea tutorials and exercises.

# General Formulas

- Trigonometric Identities
- Complex Number Identities and Formulas
- Basic signals and functions (used in ECE301, ECE438)
- Signal Metrics Definitions and Formulas (used in ECE301, ECE438)
- Numbers and Conversions
- Inequalities

# Calculus

- Derivatives
- Indefinite Integrals
- Definite Integrals
- Power Series (used in ECE301, ECE438)
- Vector Identities and Operator Definitions (used in ECE311)
- Gradient, divergence, and curl in cylindrical coordinates, by K. Cooley, proud member of the Math Squad

# Transforms

- 1D Transforms
- (bidirectional) Laplace Transform Pairs and Properties (used in ECE301, ECE438)
- (unidirectional) Laplace Transform Pairs and Properties
- 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 ECE301, ECE438, ECE438)

- 2D Transforms

# Probability

- Probability Formulas (used in ECE302 and ECE600)
- Probability Distribution (used in ECE302 and ECE600)