04:18
Solving for equilibria in discrete dynamical systems
03:55
Equilibria in discrete dynamical systems
10:25
A birth death process
09:05
A stochastic process introduction
10:28
Neural encoding and decoding
11:21
Probabilistic inference and Bayes Theorem
09:54
Introduction to probability
13:41
The SIR infectious disease model, preliminary analysis
12:12
The derivative, critical points, and graphing
02:02
bacteria_growth_logistic_model_introduction
10:25
Introduction to finding equilibria of discrete dynamical systems graphically
08:05
Solving linear discrete dynamical systems
06:53
Using applet to explore lead level decay
07:59
A simple spiking neuron model: sodium and potassium channels
07:34
A simple spiking neuron model: sodium channels alone
07:23
A simple spiking neuron model: biological background
06:36
The dynamics of competition between two species, equilibria 2
12:08
The dynamics of competition between two species, equilibria 1
11:18
The dynamics of competition between two species
05:52
Adding immunity to an infectious disease model
12:19
Analysis of a model of an infectious disease without immunity
07:53
Model of an infectious disease without immunity
09:57
Bifurcations of a differential equation
13:16
The Forward Euler algorithm for solving an autonomous differential equation
08:03
The stability of equilibria of a differential equation, analytic approach
10:03
The stability of equilibria of a differential equation
11:00
Exponential growth and decay in continuous dynamical systems
12:52
A graphical approach to solving an autonomous differential equation
08:29
Introduction to autonomous differential equations
10:49
From discrete dynamical systems to continuous dynamical systems
12:09
Quadratic Taylor polynomial examples
12:41
Taylor polynomial introduction
06:01
Harvesting natural populations, part 2
07:42
Developing a logistic model to describe bacteria growth, new method
04:33
Developing a logistic model to describe bacteria growth, old method
10:53
Harvesting natural populations, part 1
10:04
Maximization and minimization
13:27
Developing a logistic model to describe bacteria growth
11:19
Examples of determining the stability of equilibria for discrete dynamical systems
08:53
The discrete logistic equation
11:57
Stability of equilibria of discrete dynamical systems, revisited
07:03
Partial derivative examples
04:41
Introduction to partial derivatives
10:05
The tangent line as a linear approximation
05:23
The quotient rule
11:16
The idea of the chain rule
08:02
Function composition
08:59
The power rule for differentiation
04:45
The derivative of the natural logarithm
07:29
The derivative of an exponential function
12:28
The derivative of a power function
09:09
The derivative of a quadratic function
08:59
Calculating the derivative of a linear function using the derivative formula
12:20
Developing intuition about the derivative
12:55
Approximating a nonlinear function by a linear function
07:35
Determining the stability of equilibria by cobwebbing linear approximations
11:58
Solving a model of chemical pollution in a lake
07:31
Deriving a model of chemical pollution in a lake
10:33
Doubling time or half-life for discrete dynamical systems
05:04
Idea of stability of equilibria of discrete dynamical systems
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