# Mathlets

- Affine Coordinate Changes
- Amplitude and Phase:

First Order - Amplitude and Phase:

Second Order I - Amplitude and Phase:

Second Order II - Amplitude and Phase:

Second Order III - Amplitude and Phase:

Second Order IV - Amplitude Response: Pole Diagram
- Beats
- Bode and Nyquist Plots
**Bode and Nyquist Plots**

The system or transfer function determines the frequency response of a system, which can be visualized using Bode Plots and Nyquist Plots. The pole/zero diagram determines the gross structure of the transfer function. Often the transfer function is an exponential times a rational function. - Complex Exponential
- Complex Roots
- Convolution: Accumulation
- Convolution: Flip and Drag
- Creating the Derivative
- Damped Vibrations
- Damping Ratio
- Discrete Fourier Transform
- Eigenvalue Stability
- Euler's Method
- Football Trajectory
- Forced Damped Vibration
- Forced Damped Vibration: Phasors
- Fourier Coefficients
- Fourier Coefficients: Complex with Sound
- Graph Features
- Harmonic Frequency Response: Variable Input Frequency
- Harmonic Frequency Response: Variable Natural Frequency
- Heat Equation
- Impulse Response: Natural Frequency
- Impulse Response: Spring System
- Isoclines
- Linear Phase Portraits: Cursor Entry
- Linear Phase Portraits: Matrix Entry
- Linearized Trigonometry
- Matrix Vector
- Nyquist Plot
- Phase Lines
- Poles and Vibrations
- Riemann Sums
- Secant Approximation
- Series RLC Circuit
- Solution Targets
- Taylor Polynomials
- Trigonometric Identity
- Vector Fields
- Waves
- Wheel