Introduction to Neural Computation
This course introduces quantitative approaches to understanding brain and cognitive functions. Topics include mathematical description of neurons, the response of neurons to sensory stimuli, simple neuronal networks, statistical inference and decision making. It also covers foundational quantitative tools of data analysis in neuroscience: correlation, convolution, spectral analysis, principal components analysis, and mathematical concepts including simple differential equations and linear algebra.
Syllabus
- 1 1. Overview and Ionic Currents
- 2 2. RC Circuit and Nernst Potential
- 3 3. Nernst Potential and Integrate and Fire Models
- 4 4. Hodgkin-Huxley Model Part 1
- 5 5. Hodgkin-Huxley Model Part 2
- 6 6. Dendrites
- 7 7. Synapses
- 8 8. Spike Trains
- 9 9. Receptive Fields
- 10 10. Time Series
- 11 11. Spectral Analysis Part 1
- 12 12. Spectral Analysis Part 2
- 13 13. Spectral Analysis Part 3
- 14 14. Rate Models and Perceptrons
- 15 15. Matrix Operations
- 16 16. Basis Sets
- 17 17. Principal Components Analysis
- 18 18. Recurrent Networks
- 19 19. Neural Integrators
- 20 20. Hopfield Networks
Course materials
- Course on MIT OpenCourseWare ↗ website