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Calendar

The optional lectures listed below are for students who are less familiar with MATLAB®. These lectures are designed to teach students basic skills in some specific uses of the program that are required to complete the homework in this class.

LEC # TOPICS
Lecture 1
  • Introduction.
  • Examples of neural coding. Simple linear regression.
Lecture 2
  • Convolution, correlation. Firing rate. Spike-triggered average.
  • Wiener-Hopf equations and white noise analysis.
Optional Lecture 1
  • Initializing and using matrices in MATLAB®. Linear modelling in a sample data set.
Lecture 3
  • More about convolution and correlation.
Optional Lecture 2
  • Basic linear algebra in MATLAB®. Vector and matrix addition and multiplication. Solving sets of linear equations using matrices.
Lecture 4
  • Visual receptive fields I. 
  • Basics of the visual system. Center-surround receptive fields. Difference of Gaussians model.
Lecture 5
  • Visual receptive fields II. 
  • Simple cortical cells, separable and nonseparable.
Lecture 6
  • Discrete Fourier series.
Lecture 7
  • Fourier series. Pure tones. Perception of periodic complex tones.
Lecture 8
  • Fourier transform. Spectral analysis. The cochlea as a Fourier analyzer.
Lecture 9
  • Features and filters in vision.
Lecture 10
  • Probability theory and Bernoulli processes.
Lecture 11
  • Poisson processes and spike train statistics.
Lecture 12
  • Review.
  • Midterm.
Lecture 13
  • Midterm post-mortem.
Lecture 14
  • Ion channels. Nernst equation. Passive electrical properties of neurons.
Lecture 15
  • The action potential. Hodgkin-Huxley model.
Lecture 16
  • Hodgkin-Huxley model. Numerical methods for differential equations.
Lecture 17
  • A-type potassium channels, calcium-dependent potassium channels.
Lecture 18
  • Phase plane analysis of the Morris-Lecar model.
Lecture 19
  • Bifurcation theory.
Lecture 20
  • Cable theory.
Lecture 21
  • Ion channels and Markov processes.
Lecture 22
  • Diffusion and calcium dynamics.
Lecture 23
  • Synaptic transmission.
Lecture 24
  • Synaptic plasticity, Long-term potentiation.
  • Final review.
  • Final exam.

 MATLAB® is a trademark of The Mathworks, Inc.