Mathematics 21B (fall)

Linear Algebra and Differential Equations (110989)

Cliff Taubes

2025 Fall (4 Credits)

Schedule: TBD

Instructor Permissions: None

Enrollment Cap: n/a

Matrices provide the algebraic structure for solving myriad problems across the sciences. We study matrices and related topics such as linear transformations and linear spaces, determinants, eigenvalues, and eigenvectors. Applications include dynamical systems, ordinary and partial differential equations, and an introduction to Fourier series.

Course Notes:

Math 21B is taught in small sections throughout the day (9:00-10:15 am, 10:30-11:45 am, 12-1:15 pm, 1:30-2:45 pm, and 3:00-4:15 pm with sufficient enrollment). Registering for Math 21B is a two-step process. Once enrolled, you must submit your time preferences before 5 pm on September 2 by filling out the Math Sectioning form in your To-Do list on my.harvard (this may take up to 15 minutes to appear after you enroll). If your time preferences change, you may submit the form again; only your latest submission will be used. In order to receive your section assignment, you are required to take the Math 21B skills check in-person on September 2. Please see the course's Canvas site for more information.

Recommended Prep:

Mathematics 1b or an equivalent background in mathematics. Mathematics 21a is commonly taken before Mathematics 21b, but is not a prerequisite, although familiarity with partial derivatives is useful.

Requirements:

Anti-requisite: Not to be taken in addition to AM 22a.

Class Notes:

The QUIZ component of this course represents the designated time slot for your mid-term exams. While these exams do not occur weekly, it's important that this period remains on your schedule. If you encounter an academic conflict, you have the option to enroll in the TBA section. Students enrolled in the TBA section will be required to take all exams out of sequence.

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