Can anyone suggest any interesting problems relating a neuron model with nonlinear phenomena (or nonlinearity of the neurons itself)? And also which spiking neuron model is computationally simple yet able to produce firing patterns close to a real biological neuron?
You should first start with the classic precalculus subjects: algebra, trig, analytic geometry.
I suggest go with Precalculus: Mathematics for Calculus by James Stewart. Also, a bit of probability and statistics won't hurt. Look for these in your local library.
You might also want to look at...
Salas, Hille, Etgen's Calculus is okay but if you want to do QFT, you pretty much need to go beyond this text. I have used this book for my elementary calculus classes only.
I have used Salas, Hille, Etgen for my elementary calculus classes. I don't think it is enough. It doesn't even cover all of the important concepts and techniques in differential equations (btw, it only covers ode).
What textbooks would you recommend for self studying Nonlinear Dynamics? I am a undergraduate junior who will be doing research on nonlinearity of spiking neurons. I have taken courses on ODE, vector calculus, probability, statistics, and linear algebra.
The thickness of an unexposed filter is 40um and a diameter of 46.2mm. I have an exposed air sampling filter with a mass concentration of the particulate (from gravimetric analysis) 20.1ug/m3. If I assume that the particulates are uniformly distributed in the surface of the filter, is it...
Homework Statement
Is there any way we can measure the thickness of an exposed PTFE membrane air sampling filter? An unexposed filter (from the filter datasheet) has a thickness of 40μm. We have 5 ambient air exposed filters with the following mass concentrations: 1μg/m3 (filter 1), 20.1 μg/m3...
For Instrumentation I - Sensors and Transducers
-'Sensors, transducers, and measurement techniques for various physical variables.'
Instrumentation II - Digital Signal Processing
-'The fundamentals of digital signal processing techniques and their applications..
Instrumentation III - Logic...
Sorry, for not including the course description.
For Instrumentation I - Sensors and Transducers
Instrumentation II - Digital Signal Processing
Instrumentation III - Logic and Switching Circuit Theory
Instrumentation IV - Microprocessors and Introduction to Medical/Health...
The program is called 'Applied Physics major in Instrumentation'
The courses of the program are (in no particular order)
Math:
College Algebra
Trigonometry
Analytic Geometry
Calc I
Calc II
Vector Calculus
Differential Equations
Linear Algebra
Probability and Statistics...
When two vectors are dotted, the result is a scalar. But why here http://www.cobalt.chem.ucalgary.ca/ziegler/educmat/chm386/rudiment/mathbas/vectors.htm , the del-squared still maintains its unit vectors i, j, k? Isn't it this way ∇2 = (∂2/∂x2 + ∂2/∂y2 + ∂2/∂z2) and not (i∂2/∂x2 + j∂2/∂y2 +...
HELP! Thermodynamics question
Homework Statement
Which would you chose between paraffin & wood to make heat storage? Why?
specific heat of paraffin = 2900 J/kgC
specific heat of wood = 1750 J/KgC2. The attempt at a solution
They say that the answer is paraffin but I don't know why. Could...