Solving for equilibria in discrete dynamical systems
Duane Nykamp
Solving for equilibria in discrete dynamical systems
4:18
Equilibria in discrete dynamical systems
Duane Nykamp
Equilibria in discrete dynamical systems
3:55
A birth death process
Duane Nykamp
A birth death process
10:25
A stochastic process introduction
Duane Nykamp
A stochastic process introduction
9:05
Neural encoding and decoding
Duane Nykamp
Neural encoding and decoding
10:28
Probabilistic inference and Bayes Theorem
Duane Nykamp
Probabilistic inference and Bayes Theorem
11:21
Introduction to probability
Duane Nykamp
Introduction to probability
9:54
The SIR infectious disease model, preliminary analysis
Duane Nykamp
The SIR infectious disease model, preliminary analysis
13:41
The derivative, critical points, and graphing
Duane Nykamp
The derivative, critical points, and graphing
12:12
bacteria_growth_logistic_model_introduction
Duane Nykamp
bacteria_growth_logistic_model_introduction
2:02
Introduction to finding equilibria of discrete dynamical systems graphically
Duane Nykamp
Introduction to finding equilibria of discrete dynamical systems graphically
10:25
Solving linear discrete dynamical systems
Duane Nykamp
Solving linear discrete dynamical systems
8:05
Using applet to explore lead level decay
Duane Nykamp
Using applet to explore lead level decay
6:53
A simple spiking neuron model: sodium and potassium channels
Duane Nykamp
A simple spiking neuron model: sodium and potassium channels
7:59
A simple spiking neuron model: sodium channels alone
Duane Nykamp
A simple spiking neuron model: sodium channels alone
7:34
A simple spiking neuron model: biological background
Duane Nykamp
A simple spiking neuron model: biological background
7:23
The dynamics of competition between two species, equilibria 2
Duane Nykamp
The dynamics of competition between two species, equilibria 2
6:36
The dynamics of competition between two species, equilibria 1
Duane Nykamp
The dynamics of competition between two species, equilibria 1
12:08
The dynamics of competition between two species
Duane Nykamp
The dynamics of competition between two species
11:18
Adding immunity to an infectious disease model
Duane Nykamp
Adding immunity to an infectious disease model
5:52
Analysis of a model of an infectious disease without immunity
Duane Nykamp
Analysis of a model of an infectious disease without immunity
12:19
Model of an infectious disease without immunity
Duane Nykamp
Model of an infectious disease without immunity
7:53
Bifurcations of a differential equation
Duane Nykamp
Bifurcations of a differential equation
9:57
The Forward Euler algorithm for solving an autonomous differential equation
Duane Nykamp
The Forward Euler algorithm for solving an autonomous differential equation
13:16
The stability of equilibria of a differential equation, analytic approach
Duane Nykamp
The stability of equilibria of a differential equation, analytic approach
8:03
The stability of equilibria of a differential equation
Duane Nykamp
The stability of equilibria of a differential equation
10:03
Exponential growth and decay in continuous dynamical systems
Duane Nykamp
Exponential growth and decay in continuous dynamical systems
11:00
A graphical approach to solving an autonomous differential equation
Duane Nykamp
A graphical approach to solving an autonomous differential equation
12:52
Introduction to autonomous differential equations
Duane Nykamp
Introduction to autonomous differential equations
8:29
From discrete dynamical systems to continuous dynamical systems
Duane Nykamp
From discrete dynamical systems to continuous dynamical systems
10:49
Quadratic Taylor polynomial examples
Duane Nykamp
Quadratic Taylor polynomial examples
12:09
Taylor polynomial introduction
Duane Nykamp
Taylor polynomial introduction
12:41
Harvesting natural populations, part 2
Duane Nykamp
Harvesting natural populations, part 2
6:01
Developing a logistic model to describe bacteria growth, new method
Duane Nykamp
Developing a logistic model to describe bacteria growth, new method
7:42
Developing a logistic model to describe bacteria growth, old method
Duane Nykamp
Developing a logistic model to describe bacteria growth, old method
4:33
Harvesting natural populations, part 1
Duane Nykamp
Harvesting natural populations, part 1
10:53
Maximization and minimization
Duane Nykamp
Maximization and minimization
10:04
Developing a logistic model to describe bacteria growth
Duane Nykamp
Developing a logistic model to describe bacteria growth
13:27
Examples of determining the stability of equilibria for discrete dynamical systems
Duane Nykamp
Examples of determining the stability of equilibria for discrete dynamical systems
11:19
The discrete logistic equation
Duane Nykamp
The discrete logistic equation
8:53
Stability of equilibria of discrete dynamical systems, revisited
Duane Nykamp
Stability of equilibria of discrete dynamical systems, revisited
11:57
Partial derivative examples
Duane Nykamp
Partial derivative examples
7:03
Introduction to partial derivatives
Duane Nykamp
Introduction to partial derivatives
4:41
The tangent line as a linear approximation
Duane Nykamp
The tangent line as a linear approximation
10:05
The quotient rule
Duane Nykamp
The quotient rule
5:23
The idea of the chain rule
Duane Nykamp
The idea of the chain rule
11:16
Function composition
Duane Nykamp
Function composition
8:02
The power rule for differentiation
Duane Nykamp
The power rule for differentiation
8:59
The derivative of the natural logarithm
Duane Nykamp
The derivative of the natural logarithm
4:45
The derivative of an exponential function
Duane Nykamp
The derivative of an exponential function
7:29
The derivative of a power function
Duane Nykamp
The derivative of a power function
12:28
The derivative of a quadratic function
Duane Nykamp
The derivative of a quadratic function
9:09
Calculating the derivative of a linear function using the derivative formula
Duane Nykamp
Calculating the derivative of a linear function using the derivative formula
8:59
Developing intuition about the derivative
Duane Nykamp
Developing intuition about the derivative
12:20
Approximating a nonlinear function by a linear function
Duane Nykamp
Approximating a nonlinear function by a linear function
12:55
Determining the stability of equilibria by cobwebbing linear approximations
Duane Nykamp
Determining the stability of equilibria by cobwebbing linear approximations
7:35
Solving a model of chemical pollution in a lake
Duane Nykamp
Solving a model of chemical pollution in a lake
11:58
Deriving a model of chemical pollution in a lake
Duane Nykamp
Deriving a model of chemical pollution in a lake
7:31
Doubling time or half-life for discrete dynamical systems
Duane Nykamp
Doubling time or half-life for discrete dynamical systems
10:33
Idea of stability of equilibria of discrete dynamical systems
Duane Nykamp
Idea of stability of equilibria of discrete dynamical systems
5:04
Graphical approach to find equilibria of discrete dynamical systems
Duane Nykamp
Graphical approach to find equilibria of discrete dynamical systems
4:27
Cobwebbing: a graphical solution technique for discrete dynamical systems
Duane Nykamp
Cobwebbing: a graphical solution technique for discrete dynamical systems
11:21
Exponential growth and decay in discrete dynamical systems
Duane Nykamp
Exponential growth and decay in discrete dynamical systems
6:56
Solving a bacteria growth model
Duane Nykamp
Solving a bacteria growth model
8:58
Developing a bacteria growth model from experimental data
Duane Nykamp
Developing a bacteria growth model from experimental data
9:33
Equilibria of discrete dynamical systems
Duane Nykamp
Equilibria of discrete dynamical systems
6:15
Initial planning for controlling rabbit population
Duane Nykamp
Initial planning for controlling rabbit population
3:04
Controlling rabbit population introduction
Duane Nykamp
Controlling rabbit population introduction
0:46
Discrete SIR infectious disease model versus time
Duane Nykamp
Discrete SIR infectious disease model versus time
1:41
Function iteration
Duane Nykamp
Function iteration
3:44
Discrete SIR infectious disease model, part 1
Duane Nykamp
Discrete SIR infectious disease model, part 1
5:21
Discrete SIR infectious disease model, part 2
Duane Nykamp
Discrete SIR infectious disease model, part 2
7:28
Discrete dynamical system introduction, part 2
Duane Nykamp
Discrete dynamical system introduction, part 2
7:29
Discrete dynamical sytem introduction, part 1
Duane Nykamp
Discrete dynamical sytem introduction, part 1
4:52
Introduction to an infectious disease model, part I
Duane Nykamp
Introduction to an infectious disease model, part I
11:11
The dynamics of a population with variable harvesting each time period
Duane Nykamp
The dynamics of a population with variable harvesting each time period
4:04
The dynamics of a population with harvesting of a fixed number each time period applet introduction
Duane Nykamp
The dynamics of a population with harvesting of a fixed number each time period applet introduction
3:08