printer friendly pageMATH 53: Differential Equations with Linear Algebra, Fourier Methods, and Modern Applications
Ordinary differential equations and initial value problems, linear systems of such equations with an emphasis on second-order constant-coefficient equations, stability analysis for non-linear systems (including phase portraits and the role of eigenvalues), and numerical methods. Partial differential equations and boundary-value problems, Fourier series and initial conditions, and Fourier transform for non-periodic phenomena. Throughout the development we harness insights from linear algebra, and software widgets are used to explore course topics on a computer (no coding background is needed). The free e-text provides motivation from applications across a wide array of fields (biology, chemistry, computer science, economics, engineering, and physics) described in a manner not requiring any area-specific expertise, and it has an appendix on Laplace transforms with many worked examples as a complement to the Fourier transform in the main text. Prerequisite:
Math 21 and
Math 51, or equivalents.
Math 53 is considered equivalent to
Math 63CM, and credit will not be granted for both courses.
Terms: Aut, Win, Spr
| Units: 5
| UG Reqs: GER:DB-Math, WAY-FR, WAY-AQR
Instructors:
Anderson, J. (PI)
;
Asserian, L. (PI)
;
Lee, J. (PI)
...
more instructors for MATH 53 »
Instructors:
Anderson, J. (PI)
;
Asserian, L. (PI)
;
Lee, J. (PI)
;
Parker, G. (PI)
;
Li, Z. (TA)
;
Marsden, M. (TA)
;
Skvortsov, D. (TA)
MATH 53ACE: Differential Equations with Linear Algebra, Fourier Methods, and Modern Applications, ACE
Additional problem solving session for
Math 53 guided by a course assistant. Concurrent enrollment in
Math 53 required. Application required:
https://engineering.stanford.edu/students-academics/equity-and-inclusion-initiatives/undergraduate-programs/additional-calculus. Note: This course is not eligible for transfer credit.
Last offered: Winter 2023
ME 149: Mechanical Measurements
The Mechanical Measurement experiments course introduces undergraduates to modern experimental methods in solid mechanics, fluid mechanics, and thermal sciences. A key feature of several of the experiments will be the integration of solid mechanics, fluid mechanics, and heat transfer principles, so that students gain an appreciation for the interplay among these disciplines in real-world problems. Prerequisites:
ME 70,
ME 80,
CME 102 (recommended) or
MATH53. Prerequisites strictly enforced.
Terms: Aut, Spr
| Units: 4
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