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This course teaches you about the simplest differential equations related to exponential decay and how to use them in dynamical systems. Every mechanisms decay with respect to time. It is the law of nature. So when time increases, the decaying increases too.

But he exponential decaying of systems only depends on the ‘X’ factor and not on time in any dynamical system. This is a straightforward easy course where you will solve linear equations.


This course does not involve any written exams. Students need to answer 5 assignment questions to complete the course, the answers will be in the form of written work in pdf or word. Students can write the answers in their own time. Each answer need to be 200 words (1 Page). Once the answers are submitted, the tutor will check and assess the work.


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Course Credit: Wilmington University

Course Curriculum

1A – Exponential Decay (pt 1 of 2) 00:06:00
1A – Exponential Decay (pt 2 of 2) 00:05:00
1B – Modeling Proteins that Switch Between States 00:08:00
1D – Steady State of a System (Protein Switching) 00:08:00
1E – Separation of Variables (Solving Protein Switching) 00:09:00
1F – Time Constant of Protein Switching 00:10:00
2A – Membrane Potential Introduction 00:09:00
2B – The Membrane Equation (Passive Neuron) 00:09:00
2C – Separation of Variables (Solving Passive Membrane) 00:04:00
2D – Injecting Current Into a Passive Membrane 00:06:00
2E- Response to a Current Step 00:07:00
2F – Numerically Solving the Membrane Equation 00:10:00
2G – Linear Systems Analysis of Passive Membrane (part 1 of 2) 00:08:00
2G – Linear Systems Analysis of Passive Membrane (part 2 of 2) 00:08:00
2H – Numerical Simulations Intro 00:06:00
2I – Low-Pass Filtering Properties of a Passive Membrane 00:10:00
2J – Filtering Pink Noise 00:03:00
2K – Passive Membrane Simulation Code 00:09:00
3A – Intro to Conductance-Based Models 00:08:00
3B – Hodgkin Huxley Channel Models 00:10:00
3C – Hodgkin-Huxley Squid Axon Model 00:10:00
3D – Numerical Integration Method for Conductance-Based Models 00:10:00
3E – Hodgkin-Huxley simulation examples 00:05:00
3F – Multi-compartment conductance-based models 00:09:00
3G – Parameter Fitting in Conductance-Based Models 00:10:00
Submit Your Assignment 00:00:00
Certification 00:00:00

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