Linear Algebra and Differential Equations

Harvard Summer School

MATH S-21B

Section 1

CRN 30190

View Course Details
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 (6/24 - 8/9)

Participation Option: On Campus or Online Asynchronous

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: June 20, 2024

Additional Time Commitments

Optional sections to be arranged.

Prerequisites

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

Notes

On-campus meetings are recorded. A live stream is available at the time the class meets. 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. Harvard College students: This course is eligible for degree credit, but see important policy information.

Syllabus

All Sections of this Course

CRN Section # Participation Option(s) Instructor Section Status Meets Term Dates
30190 1 On Campus, Online Asynchronous Robert Winters Field not found in response. MWF 9:30am - 11:30am
Jun 24 to Aug 9
21474 1 On Campus, Online Asynchronous, Online Synchronous Robert Winters Open Th 8:00pm - 10:00pm
Jan 27 to May 17