Differential Equations
5.0 (4 ratings)
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Differential Equations

Videos on a first course in differential equations.
5.0 (4 ratings)
Instead of using a simple lifetime average, Udemy calculates a course's star rating by considering a number of different factors such as the number of ratings, the age of ratings, and the likelihood of fraudulent ratings.
116 students enrolled
Created by Math Fortress
Last updated 11/2013
English
Current price: $10 Original price: $20 Discount: 50% off
30-Day Money-Back Guarantee
Includes:
  • 2.5 hours on-demand video
  • Full lifetime access
  • Access on mobile and TV
What Will I Learn?
  • Fortify your understanding of Differential Equations
View Curriculum
Requirements
  • Calculus I (Differential Calculus)
  • Calculus II (Integral Calculus)
  • Calculus III (Multivariable Calculus)
Description

***Obtain a $10 off coupon by visiting our website!***

This course is a study of ordinary differential equations with applications in the physical and social sciences.

Topics include: Definitions and Terminology, Solutions, Implicit Solutions, Families of Solutions and Systems of Differential Equations.

This course contains a series of video tutorials that are broken up into various levels. Each video builds upon the previous one. Level I videos lay out the theoretical frame work to successfully tackle on problems covered in the next videos.

These videos can be used as a stand along course or as a supplement to your current differential equations class.

This course is consistently being populated with new videos.

This course is for anyone who wants to fortify their understanding of differential equations or anyone that wishes to learn differential equations can benefit from this course.

This course is consistently monitored ready to reply to any questions that may arise.

Who is the target audience?
  • College Students
Curriculum For This Course
18 Lectures
02:24:10
+
Introduction
1 Lecture 01:14
This video gives an overview of what will be covered in this course.
Preview 01:14
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Definitions and Terminology
4 Lectures 43:08
This video introduces the basic definitions and terminology of differential equations. The topics covered include classification of differential equations by type, order and linearity. 
Preview 13:19

This video introduces the basic definitions and terminology of differential equations. This video goes over 4 basic examples covering how to classify ordinary differential equations by order and linearity. 
Definitions and Terminology (Level 2)
09:15

This video introduces the basic definitions and terminology of differential equations. This video goes over 6 examples covering how to classify ordinary differential equations by order and linearity. 
Definitions and Terminology (Level 3)
10:19

This video introduces the basic definitions and terminology of differential equations. This video goes over 8 examples covering how to classify Partial Differential Equations (PDE) by order and linearity 
Definitions and Terminology (Level 4)
10:15
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Solutions
4 Lectures 32:55
This video introduces the basic concepts associated with solutions of ordinary differential equations. Topics covered include: Solution to an ODE, Interval of definition, and solution curves. 
Preview 10:19

This video introduces the basic concepts associated with solutions of ordinary differential equations. This video goes over 3 examples illustrating how to verify solutions to differential equations. In addition this video also covers how to determine an appropriate interval of definition. 
Solutions (Level 2)
06:31

This video introduces the basic concepts associated with solutions of ordinary differential equations. This video goes over 3 slightly more challenging examples illustrating how to verify solutions to differential equations. In addition this video also covers how to determine an appropriate interval of definition. 
Solutions (Level 3)
08:32

This video introduces the basic concepts associated with solutions of partial differential equations. This video goes over 3 examples illustrating how to verify solutions to partial differential equations. 
Solutions (Level 4)
07:33
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Implicit Solutions
3 Lectures 25:34
This video introduces the basic concepts associated with solutions of ordinary differential equations. This video goes over implicit solutions of differential equations. The concept of a formal solution is also presented. 
Preview 09:45

This video introduces the basic concepts associated with solutions of ordinary differential equations. This video goes over 2 examples illustrating how to verify implicit solutions, find explicit solutions, and define appropriate intervals of definition. 
Implicit Solutions (Level 2)
07:45

This video introduces the basic concepts associated with solutions of ordinary differential equations. This video goes over 2 slightly more challenging examples illustrating how to verify implicit solutions, find explicit solutions, and define appropriate intervals of definition. 
Implicit Solutions (Level 3)
08:04
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Families of Solutions
4 Lectures 32:27
This video introduces the basic concepts associated with solutions of ordinary differential equations. This video goes over families of solutions. In addition, particular solutions, general solutions, singular solutions, and piecewise-defined solutions are also presented. 
Preview 10:12

This video introduces the basic concepts associated with solutions of ordinary differential equations. This video goes over 3 examples illustrating how to verify general solutions of ordinary differential equations. 
Families of Solutions (Level 2)
08:23

This video introduces the basic concepts associated with solutions of ordinary differential equations. This video goes over 2 examples illustrating how to verify Implicit One-Parameter Family of solutions. 
Families of Solutions (Level 3)
06:34

This video introduces the basic concepts associated with solutions of ordinary differential equations. This video goes over an example illustrating how to verify a particular solution of the one-parameter family of solutions, specifically a piecewise defined solution. 
Families of Solutions (Level 4)
07:18
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Systems of Differential Equations
1 Lecture 08:00
This video introduces the basic concepts associated with solutions of ordinary differential equations. This video covers the basics of systems of ordinary differential equations. This video also goes over two examples illustrating how to verify solutions to systems of differential equations. 
Systems of Differential Equations
08:00
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Conclusion
1 Lecture 00:52
This video gives an overview of the content that was covered in this course.
Conclusion
00:52
About the Instructor
Math Fortress
4.5 Average rating
239 Reviews
11,581 Students
9 Courses
Fortify Your Math Knowledge

Math Fortress provides great quality college level math videos, equation sheets, and worksheets.We have math videos for, Algebra I (Beginning Algebra), Algebra II (Intermediate Algebra), Geometry, Precalculus, Calculus I (Differential Calculus), Calculus II (Integral Calculus), Calculus III (Multivariable Calculus), Linear Algebra, Differential Equations, New York Regents Exam and the GRE.