Miscellaneous
Information about the class (pdf files)
Lecture notes, recitation discussion, problems, and solutions (some
pdf, some text)
- Recitation 1, February 5, 2008:
Problems,
Solutions
- Lecture 1, February 6, 2008: Geometric view of solving ODEs
Notes
- Recitation 2, February 7, 2008:
Problems,
Solutions
- Lecture 2, February 8, 2008: Numerical methods
Notes
- Lecture 3, February 11, 2008: First order linear equations
Notes
- Recitation 3, February 12, 2008:
Problems,
Solutions
- Lecture 4, February 13, 2008: Coupling constant, integrating factors
Notes
- Recitation 4, February 14, 2008:
Problems,
Solutions
- Lecture 5, February 15, 2008: Complex numbers
Notes
- Lecture 6, February 19, 2008: Exponential, Euler's formula
Notes
- Lecture 7, February 20, 2008: Exponential response
Notes
- Recitation 5, February 21, 2008:
Problems,
Solutions
- Lecture 8, February 22, 2008: Autonomous equations
Notes
- Lecture 9, February 25, 2008: Exam review - nonlinear vs. linear
Notes
- Recitation 6, February 26, 2008:
Exam review
- Lecture 10, February 27, 2008:
Hour Exam 1
- Recitation 7, February 28, 2008:
Problems,
Solutions
- Lecture 11, February 29, 2008: Second order equations
Notes
- Lecture 12, March 3, 2008: Damped vibration
Notes
- Recitation 8, March 4, 2008:
Problems,
Solutions
- Lecture 13, March 5, 2008: Forced harmonic oscillator
Notes
- Recitation 9, March 6, 2008:
Problems,
Solutions
- Lecture 14, March 7, 2008: Exponential signals, operators
Notes
- Lecture 15, March 10, 2008: Superposition III
Notes
- Recitation 10, March 11, 2008:
Problems,
Solutions
- Lecture 16, March 12, 2008: Frequency response
Notes
- Recitation 11, March 13, 2008:
Problems,
Solutions
- Lecture 17, March 14, 2008: Resonance, exponential shift
Notes
- Lecture 18, March 17, 2008: Linear, Time Invariant (LTI)
Notes
- Recitation 12, March 18, 2008:
Problems,
Solutions
- Lecture 19, March 19, 2008:
Hour Exam 2
- Recitation 13, March 20, 2008:
Problems,
Solutions
- Lecture 20, March 21, 2008: Periodic signals
Notes
- Lecture 21, March 31, 2008: Fourier series
Notes
- Recitation 14, April 1, 2008:
Problems,
Solutions
- Lecture 22, April 2, 2008: More Fourier series
Notes
- Recitation 15, April 3, 2008:
Problems,
Solutions
- Lecture 23, April 4, 2008: Step functions and delta functions
Notes
- Lecture 24, April 7, 2008: Unit impulse and step response
Notes
- Recitation 16, April 8, 2008:
Problems,
Solutions
- Lecture 25, April 9, 2008: Convolution
Notes
- Recitation 17, April 10, 2008:
Problems,
Solutions
- Lecture 26, April 11, 2008: Laplace transform
Notes
- Lecture 27, April 14, 2008: Laplace transform II
Notes
- Recitation 18, April 15, 2008:
Problems,
Solutions
- Lecture 28, April 16, 2008: Laplace transform III
Notes
- Recitation 19, April 17, 2008:
Problems,
Solutions
- Lecture 29, April 18, 2008: The pole diagram
Notes
- Lecture 30, April 23, 2008: Fourier and Laplace
Notes
- Recitation, April 24,2008: Exam review
- Lecture 31, April 25, 2008:
Hour Exam 3
- Lecture 32, April 28, 2008: Linear first order systems
Notes
- Recitation 20, April 29, 2008:
Problems,
Solutions
- Lecture 33, April 30, 2008: Eigenvalues and eigenvectors
Notes
- Recitation 21, May 1, 2008:
Problems,
Solutions
- Lecture 34, May 2, 2008: Complex or repeated eigenvalues
Notes
- Lecture 35, May 5, 2008: Linear phase portraits
Notes
- Recitation 22, May 6, 2008:
Problems,
Solutions
- Lecture 36, May 7, 2008: Companion matrix, matrix exponential
Notes
- Recitation 23, May 8, 2008:
Problems,
Solutions
- Lecture 37, May 9, 2008: Vector fields and nonlinear systems
Notes
- Lecture 38, May 12, 2008: Linearization at critical points
Notes
- Recitation 24, May 13, 2008:
Problems,
Solutions
- Lecture 39, May 14, 2008: Limit cycles, strange attractors, chaos
Notes
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