Math 54 - Linear Algebra and Differential Equations - 2019 version The 2021 zoomester version can be found via THIS RATHER SMALL LINK TO its FAQ

## Participation via Forum, bcourses, and gradescope is crucial for this course.

If you were registered by August 29, you will be added automatically to all these platforms. If you are not yet registered, please join the forum (with an .edu email) and find a section (starting Aug.28) with sufficient space and give your email and SID to your GSI to add you to bcourses/gradescope. (Sorry, the form was getting filled out by far toooooo many registered folks. The real issue was that bcourses wasn't published. It is now.)

## CONTENTS

Topics: Basic linear algebra, matrix arithmetic and determinants, vector spaces, eigenvalues and eigenvectors, linear transformations. Linear second-order differential equations; higher-order homogeneous differential equations; linear systems of ordinary differential equations; Fourier series and partial differential equations.

Textbook: Lay, Nagle, Saff and Snider, Linear Algebra and Differential Equations, second custom edition

## PREREQUISITES / REVIEW

This course will build on a lot of the material from Berkeley's Calculus (1A-1B) sequence. In particular, if you are not comfortable with complex numbers and differential equations (or your calculus course did not cover much of them), then you should learn/review this material (Stewart, Calculus: Early Transcendentals, 7th Edition, Chapters 9 and 17, Appendix H) before the complex eigenvalues / differential equations parts of the course. A quick review of series (Chapter 11) is recommended before we discuss Fourier series.
If you did not take Multivariable Calculus (53), then you should get familiar with partial derivatives (Stewart, Multivariable Calculus for UCB, 7th Edition, Chapter 14) before the PDE part of the course. See the syllabus for concrete dates.

## PROFESSIONALITY EXPECTATIONS AND COURSE STRUCTURE

If you take this course you are expected to attend lectures, enroll and participate in one of the discussion sections, enroll, participate, and pay attention to announcements in the online forum, and to be committed to learning the material (by e.g. reading the book and working through the practice problems) as well as to checking/demonstrating your learning in the common assignments (quizzes, midterms, final). In return you can expect your instructors full commitment to supporting your learning - by structuring the material towards main goals, providing constant opportunites to get questions answered (in sections, forum, office hours), and giving you timely feedback on assignments.
To take maximal advantage of what we can offer, you should in particular attend your section meetings regularly and well prepared to follow and contribute to the discussion, by having done the reading, attended lecture, and attempted some practice problems. Sections will not serve as introductory lectures, but as venues to clarify, deepen, and practice your understanding interactively. To support you in staying current with the material, there will be no classical homework; instead the course structure is designed to support an active learning rhythm detailed in the forum. It does not mandate active participation in sections but strongly encourages it by daily assignments which directly seed the discussion during sections.
To ensure that this course structure does not conflict with your other commitments, please make sure that you have no obstructions to attending lectures or sections, and check the exam dates on the syllabus before committing to this course. If you need accomodations for exams, please contact the Disabled Students Program before the start of the semester. For more details on course policy and structure see the logistics tab.