Mastering differential equations: the visual method

by Devaney, Robert L.

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In this course, Boston University Professor Robert L. Devaney presents an introduction to differential equations.

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Title Statements

Full title :Mastering differential equations : the visual method / Robert L. Devaney.

Summary

In this course, Boston University Professor Robert L. Devaney presents an introduction to differential equations.

Edition Statements

Publication Date:©2011.

Publication Statements

Publisher(s):Great Courses
Place of Publication:Chantilly, VA
Language:eng
Publication Date:©2011.

Notes

Course no. 1452.

Transcript covers the 24 lectures contained in the corresponding DVDs.

The Physical Object

Description:vi, 530 pages : : illustrations ; : 19 cm.

Edition Identifiers

ISBN:9781598037449, 1598037447
oclc:ocn885219967
LC Classification:QA371
Dewey Decimal:515.35

Lecture 1. What is a differential equation? -- Lecture 2. A limited-growth population model -- Lecture 3. Classification of equilibrium points -- Lecture 4. Bifurcations, drastic changes in solutions -- Lecture 5. Methods for finding explicit solutions -- Lecture 6. How computers solve differential equations -- Lecture 7. Systems of equations, a predator-prey system -- Lecture 8. Second-order equations, the mass-spring system -- Lecture 9. Damped and undamped harmonic oscillators -- Lecture 10. Beating modes and resonance of oscillators -- Lecture 11. Linear systems of differential equations -- Lecture 12. An excursion into linear algebra -- Lecture 13. Visualizing complex and zero eigenvalues -- Lecture 14. Summarizing all possible linear solutions -- Lecture 15. Nonlinear systems viewed globally, nullclines -- Lectures 16. Nonlinear systems near equilibria, linearization -- Lecture 17. Bifurcations in a competing species model -- Lecture 18. Limit cycles and oscillations in chemistry -- Lecture 19. All sorts of nonlinear pendulums -- Lecture 20. Periodic forcing and how chaos occurs -- Lecture 21. Understanding chaos and iterated functions -- Lecture 22. Periods and ordering of …