{"id":173,"date":"2023-06-15T15:16:17","date_gmt":"2023-06-15T22:16:17","guid":{"rendered":"https:\/\/live-usc-dornsife.pantheonsite.io\/robert-sacker\/?page_id=173"},"modified":"2023-06-21T11:15:27","modified_gmt":"2023-06-21T18:15:27","slug":"math-565a-ordinary-differential-equations","status":"publish","type":"page","link":"https:\/\/dornsife.usc.edu\/robert-sacker\/math-565a-ordinary-differential-equations\/","title":{"rendered":"Math 565a– Ordinary Differential Equations"},"content":{"rendered":"\n\n \n \n\n\n\n\n\n\n\n
\n\n \n \n
\n\n \n

Syllabus<\/strong>:\u00a0Click Here<\/a><\/p>\n

Assignments:<\/strong>\u00a0Click Here<\/a><\/p>\n

\n

Room KAP 134 , 12:00–12:50, MWF<\/p>\n

Textbook<\/strong>:
\n“Differential Equations and Dynamical Systems” by Lawrence Perko<\/p>\n

\n

References<\/strong>:
\n1. “Theory of Ordinary Differential Equations”by Coddington & Levinson<\/p>\n

2. “Ordinary Differential Equations” by Philip Hartman<\/p>\n

3. “Ordinary Differential Equations” by Jack Hale<\/p>\n

4. “Ordinary Differential Equations with Applications” by Carmen Chicone<\/p>\n

5. “Basic Theory of Ordinary Differential Equations” by P-F Hsieh and Y. Sibuya<\/p>\n

6. “Differential Equations: Geometric Theory” by S. Lefschetz<\/p>\n

7. “Qualitative Theory of Differential Equations” by Nemytskii & Stepanov<\/p>\n

8. “Introduction to Applied Nonlinear Dynamical Systems and Chaos” by S. Wiggins<\/p>\n

9. “Introduction to the Modern Theory of Dynamical Systems” by A. Katok and B. Hasselblatt<\/p>\n

10. “Dynamics and Bifurcations” by J. Hale and H. Ko\u00e7ak<\/p>\n

11. “Methods of Bifurcation Theory” by Shui-Nee Chow and Jack Hale<\/p>\n

12. “Dynamics of Evolutionary Equations” by George R. Sell and Yuncheng You<\/p>\n

13. “Elements of Applied Bifurcation Theory” by Yuri Kuznetsov<\/p>\n

14. “Nonlinear Differential Equations and Dynamical Systems” by F. Verhulst<\/p>\n

15. “Dynamical Systems” by J. Yost<\/p>\n

16. “Elementary Stability and Bifurcation Theory” by G. Iooss and D. Joseph<\/p>\n

17. “Elements of Differentiable Dynamics and Bifurcation Theory” by D. Ruelle<\/p>\n

18. “Geometric Theory of Dynamical Systems” by J. Palis and W. de Melo<\/p>\n

19. “Dynamical Systems” by Clark Robinson<\/p>\n

20. “Applications of Centre Manifold Theory” by J. Carr<\/p>\n

21. “An introduction to Dynamical Systems” by D. K. Arrowsmith and C.M. Place<\/p>\n

22. “Lectures on Ordinary Differential Equtions” by Witold Hurewicz<\/p>\n

\n

Office Hours<\/strong><\/p>\n

These hours can be adjusted based on your class schedules.<\/p>\n

Monday office hour – 3:15-4:15 (in KAP 438a) TBA<\/p>\n

Wednesday office hour -10:30-11:30 (in KAP 438a) TBA<\/p>\n

Friday office hour – 3:15-4:15 (in KAP 438a) TBA<\/p>\n

and by appointment. Normally I am around 5 days a week. Email me for a time.<\/p>\n

\n

TA:<\/strong>\u00a0Fanhui Xu ( fanhuixu@usc.edu )<\/p>\n

\n

This page was last updated on January 18, 2018<\/p>\n\n\n\n<\/div>\n\n\n <\/div><\/div>\n","protected":false},"excerpt":{"rendered":"","protected":false},"author":370,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_acf_changed":false,"footnotes":""},"class_list":["post-173","page","type-page","status-publish","hentry"],"acf":[],"yoast_head":"\nMath 565a- Ordinary Differential Equations - Robert Sacker<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/dornsife.usc.edu\/robert-sacker\/math-565a-ordinary-differential-equations\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Math 565a- Ordinary Differential Equations - Robert Sacker\" \/>\n<meta property=\"og:url\" content=\"https:\/\/dornsife.usc.edu\/robert-sacker\/math-565a-ordinary-differential-equations\/\" \/>\n<meta property=\"og:site_name\" content=\"Robert Sacker\" \/>\n<meta property=\"article:modified_time\" content=\"2023-06-21T18:15:27+00:00\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/dornsife.usc.edu\/robert-sacker\/math-565a-ordinary-differential-equations\/\",\"url\":\"https:\/\/dornsife.usc.edu\/robert-sacker\/math-565a-ordinary-differential-equations\/\",\"name\":\"Math 565a- Ordinary Differential Equations - 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