18.031 - System functions and the Laplace transform (IAP 2017)

 

Schedule

Date Topic
Class 1
M Jan. 23
  • Spring model: driving through the dashpot
  • Differential operators. Block diagrams, LTI systems. Complex Gain.
  • RLC: Series circuit with system response = voltage drop across the resistor
Class 2
T Jan. 24
  • Frequency response; frequency domain;
  • Bode plots; transfer function; Nyquist plot
Class 3
W Jan. 25
  • Laplace Transform; Initial conditions; Convergence, linearity, t-derivative
Class 4
R Jan. 26
  • Rules: partial fractions; s-shift, inverse transform
  • Coverup
  • Pset 1 (classes 1-3) due in class.
Class 5
F Jan. 27
  • Impulses, unit impulse response: weight and transfer.
  • Step response; Heaviside step function
Class 6
M Jan. 30
  • t-shift, feedback; pole diagram
Class 7
T Jan. 31
  • Convolution; relation with Laplace transform
Class 8
W Feb. 1
  • Feedback, 18.031 mascot
  • Review
  • Pset 2 (classes 4-7) due in class.
Class 9
R Feb. 2
  • One hour exam during class