Linear Algebra and Differential Equations

Harvard Summer School

MATH S-21B

Section 1

CRN 30190

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Matrices provide the algebraic structure for solving myriad problems across the sciences. We study matrices and solutions to systems of linear equations as part of understanding linear transformations and general linear spaces. Using the notions of orthogonality, eigenvalues, and eigenvectors, we find least-squares solutions, solve discrete and continuous dynamical systems using exact methods and phase-plane analysis, introduce the Spectral Theorem and Fourier series, and analyze different types of differential equations.

Instructor Info

Robert Winters, PhD


Meeting Info

MWF 9:30am - 11:30am (6/22 - 8/7)

Participation Option: Online Asynchronous or Online Synchronous

In online asynchronous courses, you are not required to attend class at a particular time. Instead you can complete the course work on your own schedule each week.

Deadlines

Last day to register:

Additional Time Commitments

Optional sections to be arranged.

Prerequisites

MATH S-1B. Knowledge of partial derivatives is helpful. Placement test recommended.

Notes

This course meets via web conference. Students may attend at the scheduled meeting time or watch recorded sessions asynchronously. Recorded sessions are typically available within a few hours of the end of class and no later than the following business day. See minimum technology requirements. Open to admitted Secondary School Program students by petition.

All Sections of this Course

CRN Section # Participation Option(s) Instructor Section Status Meets Term Dates
21474 1 On Campus, Online Asynchronous, Online Synchronous Robert Winters Open Th 8:00pm - 10:00pm
Jan 26 to May 16
30190 1 Online Asynchronous, Online Synchronous Robert Winters Open MWF 9:30am - 11:30am
Jun 22 to Aug 7
36163 2 On Campus Matthew Demers Open MWF 3:15pm - 5:15pm
Jun 22 to Aug 7