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System Dynamics and Controls (Udemy.com)

Mathematical Modeling of Systems and More

Created by: Cherish Qualls, PhD

Last updated August 2018

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What you will learn

  • Spring mass damper systems, steady state error, root locus
  • Laplace transforms, block diagrams, state space
  • First and second order time response plus more!

How it compares

Against the other 127 rated Udemy courses in Math on CourseDuck:

  • Rating4.6 out of 5higher than 37% of them
  • Reviews820#33 of 128 by number of reviews
  • Length18.7 hourslonger than 72% of them
  • Last updatedAugust 2018earlier than 85% of them

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Course Description

What is System Dynamics and Controls about?

This course provides a great introduction to controls and mathematical modeling of mechanical systems. What does that mean? Well, you will learn how to generate equations that can be used to model a body's motion.  Think of a pendulum swinging - after this course you will be able to model this type of motion using differential equations and matrices. On top of that, you'll be able to analyze system stability, calculate how much error is present, use Laplace transforms to solve initial value problems and much, much more!

Here's some of what you will learn:

  • Laplace transforms

  • Transfer functions

  • Response equations

  • Equations of motion of mechanical and electrical systems

  • First order response

  • Second order response

  • State space representation

  • Block diagram reduction

  • Stability and Routh's Criterion

  • Steady state error analysis

  • Root locus

And if that's not enough, for those wishing to use MATLAB, examples and applications are provided throughout the course.  This helps gives more of a visual understanding of what's going on besides just looking at equations.

Who should enroll?

This course is perfect for you if:

  • you are a current student in a similar class and are needing additional examples/explanations

  • you are studying for the Fundamentals of Engineering exam and need a review of system response and block diagrams

  • you are just curious and want to learn something new

Is any prior knowledge needed?

Yes! The typical math requirement for this course is Differential Equations and Linear Algebra.  Dynamics...you need to know that too, as we will be modeling bodies in motion. MATLAB is helpful but not required - I kept all the MATLAB examples separate for students not interested in that material.

What's the format of the course? Do I need a book?

Let me just say that I hate engineering courses taught with PowerPoint slides.  Due to this, you will not find slides here.  I think people learn better when they have to write the material. That means the majority of my lectures are handwritten.  We will work through many examples and I don't assume you know more than you do.  We'll start with the basics and build on them.  You'll also get a brief outline of notes to help you follow along and to help minimize the length of the videos.

Speaking of video length... am I the only one who doesn't like watching hour-long lecture videos? I didn't think so.  To eliminate that frustration my lectures are broken up into shorter segments, typically 12-15 minutes.  And if you are here for examples, I made them easy to find.  Almost all the examples are in their own videos, that way you can look through the notes and pick and choose which ones you want to watch.

Would it be helpful to have a book? Yeah probably.  Is it absolutely necessary? Probably not.  The benefit of having a book is having more examples and problems to work on your own.  The book I recommend and always use for this course is Control Systems Engineering by Nise.  It gets good reviews from students and it provides a solid foundation for more advanced controls classes.

Will this prepare me for other classes?

Most definitely! The fundamental knowledge gained in this course will be useful in classes such as Mechanical Vibrations, Feedback Control Systems, and others.  In addition, you'll gain a greater understanding of differential equations and how they are used to model system behavior.  The state space info will be helpful in graduate-level topics such as Kalman filtering.

What are you waiting for? Enroll today!                                                                                                                           

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Instructor Details

Cherish Qualls, PhD

Hi!

I graduated from Auburn University with a M.S. and PhD in Aerospace Engineering.  After graduation I worked as a Systems Engineer at Lockheed Martin.  After working in industry for 8 years I decided to focus on teaching full time. 

I have 18+ years of teaching experience and have helped 1000's of students transform from freshmen to successful engineers.  Some of the courses I teach include: Statics, Dynamics, Thermodynamics, MATLAB, Numerical Analysis, Controls, Fluid Mechanics and Solid Mechanics. I have taught at Auburn University, University of North Texas and Texas Christian University. 

I believe in teaching my courses in a way that I wanted to be taught when I was in school...plenty of examples, not a lot of theory.  Many instructors don't understand the learning needs of their students.  They give complicated lectures full of theory but then hardly ever work out examples.  The examples they do work tend to be simple or the examples already presented in the course textbook.  

This is why I recently founded STEM Course Prep.  STEM Course Prep is meant to help struggling students succeed before they have to drop or fail a class. 

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Reviews

4.6

820 ratings on Udemy

Select a bar to show only those reviews.Select the bar again to show every rating.

By Brady Hanas on 6/17/2026

This is an excellent class for anyone looking to refresh their understanding of system dynamics concepts they may have forgotten. The instructor does a great job of building foundational knowledge, covering topics like Laplace transforms, block diagrams, and more in a clear and structured way.

By Stefan Rohn on 4/11/2026

not really top level, could be done better, material is rather ok but room for improvement, resolution is not good, old school style, MATLAB examples rather thin, duration and coverage of content are pretty good, didactics (e.g. state space respresentation) are not the best

By James Brown Jr on 9/27/2024

Great course! After 10 years of being aware from system dynamics, this course got me feeling ready for a master's level system dynamics course. Only negative is the volume was low on the classes (would have to turn up my speakers or headphones to 100 for all the classes just to be able to hear the instructor). But the class and instructor were great! Thank you!

By Abisoye Akinloye on 7/30/2024

I enrolled in this course with the clear intention of refreshing my understanding of System Dynamics and Control. Having successfully completed the course, I am fully confident in my ability to seamlessly apply this knowledge to my project on EVs. The value I gained from this course, along with the recommended textbook, was immense. I unequivocally recommend this course!

By Gabriel Schettler on 6/21/2023

Lectures were organized well and broke the topics into understandable chunks. Explanations were clear although sometimes lacking some of the "why is that?" aspect which I tend to like a lot of. Overall would definitely recommend.

By Kunal Singh on 11/20/2020

The concepts in this course are being explained very well, the method of teaching is very good as well as adequate course material is given by the instructor.

By Yousef Chaudhary on 11/20/2020

Dr. Qualls is an excellent educator. This course has truly been very helpful. Thank you.

By Noorul Hassan on 11/19/2020

very blur, can't see the content of the presentation.

By Sumit S on 11/5/2020

A beautiful teaching. In depth teaching. Mam please start course on classical and modern control theory, PID, More depth in State space and kalman filter. Or please suggest any online course you know related to above topics.

By Juan Sebastin Forero Romero on 10/9/2020

This teacher is amazing. Everything is clear and she actually was able to explain hardest topics in a way that everything seems to be really easy. She is not only kinda cute haha, but also an amazing teacher and professional. Well done!

By Fernando Teixeira on 10/4/2020

Just amazing! After years away from the University, the simple and concise form this course is led refresh my memory in a fastly and smoothly way. It will really help me to efficiently attend a MSc in a near future. Thank you professor Qualls!

By Sibusiso on 9/14/2020

The course is great as a refresher to System Dynamics. Especially after years of never having used the knowledge in the workplace.

Showing 12 of 70 reviews

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Overall Score : 92 / 100