## EE 65: Modern Physics for Engineers

This course introduces the core ideas of modern physics that enable applications ranging from solar energy and efficient lighting to the modern electronic and optical devices and nanotechnologies that sense, process, store, communicate and display all our information. Though the ideas have broad impact, the course is widely accessible to engineering and science students with only basic linear algebra and calculus through simple ordinary differential equations as mathematics background. Topics include the quantum mechanics of electrons and photons (Schrödinger's equation, atoms, electrons, energy levels and energy bands; absorption and emission of photons; quantum confinement in nanostructures), the statistical mechanics of particles (entropy, the Boltzmann factor, thermal distributions), the thermodynamics of light (thermal radiation, limits to light concentration, spontaneous and stimulated emission), and the physics of information (Maxwell¿s demon, reversibility, entropy and noise in physics and information theory). Pre-requisite:
Physics 41. Pre- or co-requisite:
Math 53 or
CME 102.

Terms: Spr
| Units: 4
| UG Reqs: GER: DB-NatSci, GER:DB-EngrAppSci, WAY-SMA

Instructors:
Miller, D. (PI)

## MATH 53: Ordinary Differential Equations with Linear Algebra

Ordinary differential equations and initial value problems, systems of linear differential equations with constant coefficients, applications of second-order equations to oscillations, matrix exponentials, Laplace transforms, stability of non-linear systems and phase plane analysis, numerical methods. Prerequisite: 51 or equivalents.

Terms: Aut, Win, Spr, Sum
| Units: 5
| UG Reqs: GER:DB-Math, WAY-FR

Instructors:
Ionel, E. (PI)
;
La, J. (PI)
;
Lee, S. (PI)
;
Varolgunes, U. (PI)
;
Kuhn, N. (TA)
;
Luo, S. (TA)
;
Ottolini, A. (TA)
;
Simper, M. (TA)

## MATH 53A: Ordinary Differential Equations with Linear Algebra, 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

Terms: Aut, Win, Spr, Sum
| Units: 1

## ME 161: Dynamic Systems, Vibrations and Control

Modeling, analysis, and measurement of mechanical and electromechanical dynamic systems. Closed form solutions of ordinary differential equations governing the behavior of single and multiple-degree-of-freedom systems. Stability, forcing, resonance, and control system design. Prerequisites: Ordinary differential equations (
CME 102 or
MATH 53), linear algebra (
CME 104 or
MATH 53) and dynamics (E 15) are recommended.

Terms: Aut
| Units: 3
| UG Reqs: GER:DB-EngrAppSci

Filter Results: