[PDF] MathTutor - Differential Equations - Volume 1

ISBN: 5eee6b41fb

Category: Tutorial


Posted on 2018-01-12, by luongquocchinh.

Description



Author: Jason Gibson | Category: Mathematics | Language: English | Page: 1 | ISBN: e5eee6b41fbf45c9a8e7705c12576d95 |

Description: Differential equations is used in all branches of engineering and science. In essence, once a student begins to study more complex problems, nature usually obeys a differential equation which means that the equation involves one or more derivatives of the unknown variable. In other words, a differential equation involves the rate of change of a variable rather than the variable itself. The simplest example of this is F=ma. The “a” is acceleration which is the second derivative of the position of the object. Although differential equations may look simple to solve by just integration, they frequently require complex solution methods with many steps. This 10 hour DVD course teaches how to solve first order differential equations using fully worked example problems. All intermediate steps are shown along with graphing methods and applications of differential equations in science and engineering. Disk 1 Section 1: What is a Differential Equation? Section 2: Solving Elementary Differential Equations Section 3: Separation of Variables Solution Method Disk 2 Section 4: First Order Variation of Parameters, Part 1 Section 5: First Order Variation of Parameters, Part 2 Disk 3 Section 6: Exact Differential Equations Section 7: Existence and Uniqueness Theorem Section 8: Graphing Solutions to First Order Equations Section 9: Applications – Mixing Problems Disk 4 Section 10: Applications – Newton’s Law of Cooling Section 11: Applications – Circuit Problems, Part 1 Section 12: Applications – Circuit Problems, Part 2

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