MATH 134

Linear and Nonlinear Systems of Differential Equations

Description: Lecture, three hours; discussion, one hour. Requisite: course 33B. Dynamical systems analysis of nonlinear systems of differential equations. One- and two- dimensional flows. Fixed points, limit cycles, and stability analysis. Bifurcations and normal forms. Elementary geometrical and topological results. Applications to problems in biology, chemistry, physics, and other fields. P/NP or letter grading.

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Most Helpful Review
Winter 2024 - I enjoyed Professor Hester's class, but I do understand some of the criticisms others have shared. The homework was very challenging, but it was good practice for the exams. I also didn't find the professor's online notes very helpful (although I didn't rely on them much of the time because the textbook was a pretty good resource). But aside from that, Professor Hester was genuinely very helpful. He's very eager to help, and every lecture, he insisted that everyone ask questions. In fact, as part of every homework assignment, he wanted us to ask a question, even if only tangentially related to the course. I found this helpful for two reasons: i) this was a good opportunity to ask big-picture questions about the course or just random math questions, and ii) it was a great way to get general advice for things like succeeding in the course, or even advice for pursuing graduate studies. Some general advice for anyone who wants to take this class: - There's a lot of overlap with Math 142. I took 134 and 142 the same quarter, and it made absorbing material feel much easier. - Read the textbook. Prof Hester's lectures follow the textbook pretty closely. On top of that, the textbook is also written pretty well (although the version I got through Inclusive Access had some weird typos, so you may want a different online version to compare with). - Know how to do the homework problems. If you know how to do the hw, then you'll be prepared for the exams. This class isn't proof-based, so there are only so many types of problems that can be asked. - Ask questions. As discussed above, Prof Hester cares about his students, so he's always happy to take questions
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