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source: James Cook 2015年5月6日
Differential Equations with Linear Algebra
This series of talks is a very fast overview of introductory differential equations as I usually teach it. The audience intended is students with some experience with linear algebra, preferably a course which discusses linear transformations as well as the complexification. If you thirst for applications, look elsewhere.
Differential Equations Condensed Part 1 1:33:42 Here I briefly given an overview of the main goals and terms of our study. Applications to physics are mentioned, but, little detail is given. The focus of these lectures will be on techniques for solution. If you desire discussion of application or careful proofs of existence you'll need to look up a different source. My intention here is to quickly outline the major techniques to solving or analyzing ODEs. In this part, we study the three major solution techniques followed by a brief mention of techniques of substitution. Please understand, these lectures are in part an invitation to study my notes and do homework. Only those activities will produce lasting understanding. Of course, you can read any text you like, but these lectures are based on my writings.
Differential Equations Condensed Part 1b 7:10
Differential Equations Condensed Part 2 1:25:27
Differential Equations Condensed: Part 3a 33:27
Differential Equations Condensed: Part 3b 2:51
Differential Equations Condensed: Part 4a 33:26
DEqnsP4b 33:26
DEqnsP4c 9:50
Differential Equations Condensed: Part 5a 33:27
Differential Equations Condensed: Part 5b 30:40
Differential Equations Condensed: Part 6a 33:26
Differential Equations Condensed: Part 6b 9:37
Differential Equations Condensed: Part 7a 59:51
Differential Equations Condensed: Part 7b 20:04
Differential Equations Condensed: Part 8 38:38
Differential Equations Condensed: Part 9a 59:51
Differential Equations Condensed: Part 9b 15:19
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