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This is a free course on YouTube with 47 videos, 7 articles, and 599.7 hours of content which covers the basics of differential equations. The textbook is available for free on Google Books so you don't have to buy solucionario ecuaciones diferenciales isabel carmona jover. The book highlights the mathematical formulas in each video but you will need to understand enough mathematics (linear algebra, calculus) to understand these concepts. The videos are pretty entertaining since the instructor is funny, energetic, and likes to make jokes. The objectives of the course are to learn how to solve differential equations (DEs), understand ODEs, and how to use Laplace transforms. The course starts by learning how to solve first order ODEs and DEs. The second topic is solving linear systems of ODEs, which allows you to solve higher order non-linear systems of ODEs. The third section teaches you how to solve DEs using Laplace transforms. The fourth section covers second order systems of ODEs and the final topic is non-homogeneous DEs, sometimes called inhomogeneous DEs, which are really just higher-order linear systems of ODEs. This course is not designed for students who have just taken calculus, but it teaches differential equations in a way that might be easier for someone who has already taken a college level calculus class. The course is designed for people who want to learn how to solve differential equations in physics, but it can also be used by students who are trying to prepare for physics graduate school. The topics in this course are listed below. The video length is listed in parentheses. This course associated with the book Solucionario Ecuaciones Diferenciales published by Gredos VerGrafica, S.L.. This course published by Gredos VerGrafica, S.L., ISBN: 9788499443488. The videos are pretty entertaining since the instructor is funny, energetic, and likes to make jokes when explaining math concepts. The technique of drawing the differential equation onscreen so you can follow along is also helpful. The instructor, Dr. Alberto González, has a calm voice and explains very well. He uses visual aids like diagrams to explain challenging concepts. Throughout the course, Dr. González has several interesting storytelling techniques that keep it fun to watch all 47 videos. For example, he talks about how he got his PhD at the age of 17, how he got his first job as an assistant professor at 22 years old, and how he solved problems using his trusty calculator. eccc085e13
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