Session Overview
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In this session we will study the special case of a linear first order constant coefficient with the input function an exponential. Converting sinusoids to complex exponentials will allow us to handle the very important case of sinusoidal input. |
Session Activities
Read the course notes:
- Exponential Input; Gain and Phase Lag: Introduction (PDF)
- First Order Response to Exponential Input (PDF)
- First Order Response to Sinusoidal Input (PDF)
- Amplitude Phase, Gain and Bode Plots (PDF)
Learn from the Mathlet materials:
- Watch the video
Exploration of the Amplitude and Phase: First Order Applet (00:08:06)
Exploration of the Amplitude and Phase: First Order Applet
> Download from iTunes U (MP4 - 13MB)
> Download from Internet Archive (MP4 - 13MB)
- Work with the Amplitude and Phase: First Order Applet
Watch the problem solving video:
- Sinusoidal Inputs (00:13:46)
Complete the practice problems:
Check Yourself
Complete the problem sets:
- Problem Set Part I Problems (PDF)
- Problem Set Part I Solutions (PDF)
- Problem Set Part II Problems (PDF)
- Problem Set Part II Solutions (PDF)