Description

We are using differential equations to model the systems around us. In this mathematics course, we will explore spring systems, temperature, circuits, population growth to illustrate how differential equations can be used to model everything. We will learn how to solve linear differential equations and in nonlinear differential equations, we will use graphical methods and approximation to find solutions. Especially, this course was made by experienced teachers that did their best to help you learn the theory behind each topic in the easiest way possible using animation; this course will also teach you step by step how to solve each topic with different approaches. in addition you will have a list of problems you can solve with a guided gaming program that will help you in achieving a deep understanding of the subject, you will also get a customize exam to your needs that you can test yourself with it to see if you have achieved the best result.

By the end of this course you will learn

*Firstly, you will study the definition of the derivative, Rules of differentiation, Derivative as a rate of change, Connection between the first derivative and increasing/decreasing, Connection between the second derivative and concavity

*Secondly, you will study how to solve the first order differential equation by several methods as separation of variables, substitution …etc. you will study modeling with systems of first order differential equation.

*Then you would study homogeneous and nonhomogeneous higher order differential equations with initial values and boundary values

*Finally, you will study series solutions of linear equations, The Laplace transform, and systems of linear first-order differential equations.

Requirements

You should have a decent foundation in secondary mathematics. If you have some experience with calculus A,B, that will definitely be helpful.

WHAT YOU GET INSIDE OF EVERY TOPIC:

Theory videos: we will explain the theory to you using simple animation that will help you get the point easily and effortlessly. You will get excited learning the theory with these and you will have fun watching each theory being unfold

Practical videos: we solve problems for every single math issue you’ll encounter in class. We start from the beginning as we explain the problem setup and why it’s set it up that way, and solve it step by step for you to understand each part as we go along

Notes: The notes section of each lesson is where you find the most important things to remember. Everything you need to know will be given to you in these notes

(COMING SOON) Practice game: When you think you’ve got a good grasp on a topic within a course, you can test your knowledge by taking the practice game. This game is designed to help you with understanding the topic and it will gradually increase the difficulty questions till you finish it and by the end of this game. You will get a chart that identify your weakness and you can continue the game to eliminate that weakness

(COMING SOON) Customized exam: after finishing some number of the topics within this course and you feel confident in your knowledge in them. You can customize an exam for these topics and pick the time you want to take the exam for it and the number of questions in that exam and test yourself with it. After the exam finish you will get a grade for the exam and see if you accomplished your goals in this course.

Supervisor: if you didn’t understand something in the video ask a question using the comments below the notes and one of our teachers will answer and explain it to you in a very through approach

(COMING SOON) Question Bank: you have a problem that you can’t solve search through our hundreds of questions and solutions in our question bank

- Homogeneous Equations with Constant Coefficients
- Solutions Of Linear Homogeneous Equation
- Complex Roots Of The Characteristic Equation
- Repeated Roots; Reduction Of Order
- Non Homogeneous Equations; Method Of Undetermined Coefficients
- Variation Of Parameters
- Cauchy – Euler Equation
- Greens Functions
- Reduction Of Order
- Solving Systems Of Linear DE By Elimination
- Preliminary Theory-Linear Equations

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