The Best Differential Equations Online Courses

Banner Image The Best Differential Equations Online Courses

You know the feeling when you’re staring at an equation in your calculus book and can’t help but wonder, “Am I ever going to use this in real life?” The truth is, yes, you might! And if there’s one mathematical concept that has myriad real-world applications, it’s differential equations. From modeling population growth to predicting the behavior of stock markets, differential equations are the glue that holds our understanding of dynamic processes together. So, with their vast array of applications, it’s no surprise that you’re looking to dive into the world of differential equations online.

As much as we’d love to jump right into the fascinating applications of differential equations, let’s not forget that mathematics can be, well, not exactly a walk in the park. Luckily for you, we live in a digital age overflowing with resources to make learning easier and more accessible. Whether you’re an engineering major, an aspiring economist, or simply a knowledge-thirsty enthusiast, the world of online courses is here to make your mathematical journey a little less daunting. In this blog post, we’ll be exploring a curated list of the best differential equations online courses, tailored to cater to diverse learning needs and pave your way toward expertise. So grab a cup of coffee and let’s jump in!

Differential Equations Courses – Table of Contents

  1. Become a Differential Equations Master
  2. Differential Equations with the Math Sorcerer
  3. Differential Equations Lectures with The Math Sorcerer
  4. Differential Equations in a Day
  5. Partial Differential Equations: Comprehensive Course
  6. Ordinary Differential Equations: 30+ Hours!
  7. Differential Equations In Depth
  8. Differential Equations

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Become a Differential Equations Master

Course Preview Become a Differential Equations Master


4.8 out of 5

Get ready to master Differential Equations with this comprehensive online course! Featuring 260 lessons, it comes with video and text explanations that’ll make even the most complicated math topics easy to understand. Plus, you’ll have ample opportunities to challenge your understanding with 76 quizzes, solutions, and 9 additional workbooks packed with extra practice problems. The course is organized into sections, each tackling a specific topic such as first and second-order equations, modeling with differential equations, Laplace transforms, and so much more.

As you progress through the course, you’ll enjoy clear explanations, multiple examples, and step-by-step instructions that make learning enjoyable. Inside each section, you’ll find helpful videos, concise notes, quizzes, and workbooks to solidify your understanding. And you’ll also get lifetime access to the course, friendly support in the Q&A section, a Udemy Certificate of Completion available for download, and a 30-day money-back guarantee. So why wait? Enroll in “Become a Differential Equations Master” today and discover an exciting new passion for math!

Skills you’ll learn in this course:

  1. Solving first and second order differential equations
  2. Modeling real-life scenarios with differential equations
  3. Applying series solutions and Frobenius Theorem
  4. Utilizing Laplace transforms and convolution integrals
  5. Solving systems of differential equations using matrix methods
  6. Working with higher order equations and their solutions
  7. Understanding and applying Fourier series to periodic functions
  8. Solving partial differential equations using separation of variables and boundary value techniques

Differential Equations with the Math Sorcerer

Course Preview Differential Equations with the Math Sorcerer


4.8 out of 5

Are you looking for a complete college-level course in Differential Equations? Look no further! This online course offers a ton of examples and is perfect for those who already have a good understanding of Calculus. To make the most out of this course, all you need to do is follow these three simple steps: watch the videos and try to do the problems along with the instructor (it’s okay if you can’t), complete the short assignments after each section, and then just rinse and repeat!

By following this method and even completing just 50% of the course, you’ll have a strong knowledge of Differential Equations and the key mathematical techniques that are taught throughout. Differential Equations is an amazing class that not only teaches you about differential equations but also exposes you to many other important mathematical techniques. So, go ahead and dive in! Enjoy learning through the engaging videos and challenges provided in this course. Happy learning!

Skills you’ll learn in this course:

  1. Mastery of differential equations
  2. Improved problem-solving skills
  3. Enhanced critical thinking
  4. Deeper understanding of calculus
  5. Familiarity with a variety of mathematical techniques
  6. Confidence in tackling advanced mathematical problems
  7. Application of differential equations in real-world scenarios
  8. Persistence and determination in completing challenging assignments

Differential Equations Lectures with The Math Sorcerer

Course Preview Differential Equations Lectures with The Math Sorcerer


4.9 out of 5

Get ready for a comprehensive course on differential equations that’s practically equivalent to what you would experience in a college class! While some topics may differ from a traditional college course, you’ll still be getting a well-rounded understanding of the subject. Just make sure you already have some basic differentiation and integration skills, as these are essential for following along with the content. If you’re familiar with u-substitution and other elementary calculus concepts, you’re all set to dive in!

This remarkable course offers 29 full lectures (some even have alternative versions), 16 assignments with solutions for each section, a full review for the final exam, and a final exam complete with solutions. Whether you’re learning differential equations on your own, preparing for a college-level course, or already enrolled in one, this course is perfect for you. So gear up for an enjoyable learning experience, as the lectures, assignments, and final exam have all been carefully crafted to ensure you can learn the material with a solid foundation in calculus. Good luck, and most importantly, have fun!

Skills you’ll learn in this course:

  1. Master basic differentiation and integration techniques.
  2. Learn integration by parts method.
  3. Understand and solve various types of differential equations.
  4. Apply differential equations to real-world problems.
  5. Complete assignments to reinforce learning.
  6. Review and prepare for a comprehensive final exam.
  7. Gain confidence in taking college-level differential equations courses.
  8. Develop problem-solving and analytical skills.

Differential Equations in a Day

Course Preview Differential Equations in a Day


4.8 out of 5

We get it, being on top of your studies can be a challenge, especially with difficult subjects like differential equations. But worry no more! There’s a course designed to help you catch up and master those pesky equations in no time. Whether you’ve missed an important lecture, found a topic too hard, or need to review for a test, this course will boost your differential equation-solving skills and get you back on track.

Differential equations may seem daunting, but they’re essential for describing real-world phenomena in various fields such as science, engineering, finance, and many others. With a focus on practical examples rather than theory, this course also sharpens your calculus skills. You’ll learn how to solve separable, first-order linear, second-order homogeneous, and non-homogeneous differential equations as well as how to use Laplace transforms. The course provides step-by-step solutions and end-of-section reviews so you can practice and check your progress. So, why wait? Dive in and be ready to solve differential equations like a pro!

Skills you’ll learn in this course:

  1. Solving separable differential equations
  2. Solving first-order linear differential equations
  3. Solving second-order homogeneous differential equations
  4. Solving second-order non-homogeneous differential equations
  5. Solving differential equations using Laplace transforms
  6. Applying differential equations to real-world problems
  7. Sharpening integral and differential Calculus skills
  8. Efficiently reviewing and practicing core concepts

Partial Differential Equations: Comprehensive Course

Course Preview Partial Differential Equations: Comprehensive Course


4.6 out of 5

“Solving Partial Differential Equations using the Fourier Transform: A Step-by-Step Guide” is a comprehensive course that teaches you how to use the Fourier Transform to tackle partial differential equations (PDEs). The course is split into three parts, with bonus sections on the mathematical derivation of the Heisenberg Uncertainty Principle. Part 1 discusses the basics of Fourier series, the Fourier Transform, and its inverse. Part 2 introduces the heat equation and the Laplace equation in Cartesian and polar coordinates and explores the Separation of Variables method. Lastly, Part 3 focuses on the Diffusion/Heat equation.

The course is suitable for students and professionals with a background in mathematics or physics, particularly those interested in the math behind quantum mechanics. Course prerequisites include calculus and multivariable calculus, with some knowledge of complex calculus and residues being helpful. By the end of the course, you’ll have gained a deeper understanding of the Fourier Transform and its application to solving PDEs, as well as insights into the Diffusion/Heat equation and the Heisenberg Uncertainty Principle.

Skills you’ll learn in this course:

  1. Mastery of Fourier Transform and its applications.
  2. Proficiency in solving PDEs using Fourier Transform.
  3. Ability to apply Separation of Variables method to boundary-value problems.
  4. Understanding of heat and Laplace equations in various coordinates.
  5. Insight into the physical principles behind Diffusion/Heat equation.
  6. Skills to derive equations from physical principles.
  7. Deeper knowledge of Heisenberg Uncertainty Principle’s mathematics.
  8. Enhanced problem-solving skills in Mathematics and Physics.

Ordinary Differential Equations: 30+ Hours!

Course Preview Ordinary Differential Equations: 30+ Hours!


4.7 out of 5

Ever felt lost trying to tackle those pesky Differential Equations? Don’t worry, you’re not alone – and this course is here to help you out! The issue with textbooks is they rarely dive deep enough into explaining the basic principles, leaving you puzzled. In this course, you’ll navigate through materials that range from super simple to super challenging, making sure you’ve got all those bases covered.

The course is designed in an organized manner, systematically going through topics and problems, guiding you to a point where you can confidently solve any equation thrown your way. With a variety of video explanations and exercises that cater to all levels of difficulty, you’ll be on your way to becoming a Differential Equations whiz in no time. Want a little extra practice? Download the exercises, work on them, and then follow along with the video solutions. Ready to jump in and become the Differential Equations expert you’ve always wanted to be?

Skills you’ll learn in this course:

  1. Understanding basic principles of differential equations
  2. Navigating through varying levels of difficulty
  3. Problem-solving techniques for differential equations
  4. Step-by-step guidance for methods of solution
  5. Tackling complex differential equations
  6. Engaging with video explanations and exercises
  7. Practicing and reviewing solutions on downloadable exercises
  8. Mastering expertise in differential equations

Differential Equations In Depth

Course Preview Differential Equations In Depth


4.8 out of 5

Dive into the exciting world of Differential Equations with this comprehensive online course designed to help you learn and understand everything you need to know! What’s special about this course is that it covers not only Ordinary Differential Equations (ODEs), but also Laplace Transform, Fourier Series, Partial Differential Equations (PDEs), and numerical solutions methods such as Euler’s Method and Runge-Kutta. To top it off, there’s even a section on modeling and solving differential equations using popular CAS packages like MATLAB and Maple.

Before you start, make sure you have a fundamental understanding of differentiation and integration, knowledge of common integration operations (like integration by parts or substitution), and a basic grasp of numerical computing. Of course, don’t forget your access and basic skills in CAS packages like MATLAB, Maple, or Mathematica. This course is creatively presented as a series of hand-written lectures and discussions on relevant topics, along with useful advice on using CAS to solve differential equations analytically or symbolically. The course is designed to increase in quality based on user feedback, so don’t be shy- let them know what you think!

Skills you’ll learn in this course:

  1. Understanding and solving ordinary differential equations (ODEs).
  2. Applying Laplace Transform and Fourier Series.
  3. Working with partial differential equations (PDEs) and common examples.
  4. Implementing numerical solutions of differential equations, such as Euler’s Method and Runge-Kutta.
  5. Modeling and solving differential equations using MATLAB and Maple.
  6. Enhancing knowledge of integration operations, such as integration by parts and substitution.
  7. Strengthening understanding of numerical computing.
  8. Utilizing computer-aided algebra systems (CAS) for analytical or symbolic problem-solving.

Differential Equations

Course Preview Differential Equations


5 out of 5

This engaging online course dives deep into the world of differential equations, offering students an extensive understanding of their formulation, classification, and the concept of existence and uniqueness of solutions. With the primary goal of helping students become proficient in solving initial value and boundary value problems, the course covers first and second order linear homogeneous and non-homogeneous differential equations. The journey begins with the exploration of First Order Differential Equations and then delves into the Applications of First Order DEs before touching upon Higher Order Linear Differential Equations.

Throughout the course, students will not only demonstrate the fundamental concepts of differential equations, but they will also hone their skills in solving first and second order differential equations and partial differential equations using the concepts developed during the course. By applying the concepts of ordinary derivatives and partial derivatives, learners will be able to model physical systems. To excel in this course, extensive practice is necessary, and students are encouraged to delve into problems tackled during the lectures, as well as maximizing the exercises from the recommended textbook, “Fundamentals of Differential Equations 9th Edition,” by R. Nagle, Edward Saff, and Arthur Snider. Additional helpful resources include Schaum Series on Differential Equation and other notable references.

Skills you’ll learn in this course:

  1. Understand differential equations, their formulation, and classification.
  2. Develop skills in solving initial value and boundary value problems.
  3. Solve first order linear homogeneous and non-homogeneous differential equations.
  4. Solve second order linear homogeneous and non-homogeneous differential equations.
  5. Grasp the existence and uniqueness concept in the context of differential equations.
  6. Apply differential equation concepts to model physical systems.
  7. Gain proficiency in working with ordinary and partial derivatives.
  8. Engage in extensive practice to reinforce and extend learning from the course.

In conclusion, diving into the world of Differential Equations might seem daunting at first, but with the plethora of online courses available, there’s never been a better time to take charge of your education. Whether you’re a mathematician at heart, a curious engineer, or a student striving to excel in your studies, these online courses suit various learning styles and can be tailored to fit your individual needs and schedule.

So, what are you waiting for? Embrace the opportunity to expand your knowledge and improve your problem-solving skills. With a combination of determination, the right course, and an openness to learn, you’ll soon find yourself confidently navigating the complex and exciting realm of Differential Equations. Happy learning!