## CEE 161I: Atmosphere, Ocean, and Climate Dynamics: The Atmospheric Circulation (CEE 261I, EARTHSYS 146A, ESS 246A)

Introduction to the physics governing the circulation of the atmosphere and ocean and their control on climate with emphasis on the atmospheric circulation. Topics include the global energy balance, the greenhouse effect, the vertical and meridional structure of the atmosphere, dry and moist convection, the equations of motion for the atmosphere and ocean, including the effects of rotation, and the poleward transport of heat by the large-scale atmospheric circulation and storm systems. Prerequisites:
MATH 51 or CME100 and
PHYSICS 41.

Terms: Aut
| Units: 3

Instructors:
O'Neill, M. (PI)
;
Alvarado-Anderson, C. (TA)
;
Balakrishna, A. (TA)
;
Regibeau-Rockett, L. (TA)

## CEE 162I: Atmosphere, Ocean, and Climate Dynamics: the Ocean Circulation (CEE 262I, EARTHSYS 146B, ESS 246B)

Introduction to the physics governing the circulation of the atmosphere and ocean and their control on climate with emphasis on the large-scale ocean circulation. This course will give an overview of the structure and dynamics of the major ocean current systems that contribute to the meridional overturning circulation, the transport of heat, salt, and biogeochemical tracers, and the regulation of climate. Topics include the tropical ocean circulation, the wind-driven gyres and western boundary currents, the thermohaline circulation, the Antarctic Circumpolar Current, water mass formation, atmosphere-ocean coupling, and climate variability. Prerequisites:
MATH 51 or
CME100; and
PHYSICS 41; and a course that introduces the equations of fluid motion (e.g.
ESS 246A,
ESS 148, or
CEE 101B).

Last offered: Winter 2023

## CEE 261I: Atmosphere, Ocean, and Climate Dynamics: The Atmospheric Circulation (CEE 161I, EARTHSYS 146A, ESS 246A)

Introduction to the physics governing the circulation of the atmosphere and ocean and their control on climate with emphasis on the atmospheric circulation. Topics include the global energy balance, the greenhouse effect, the vertical and meridional structure of the atmosphere, dry and moist convection, the equations of motion for the atmosphere and ocean, including the effects of rotation, and the poleward transport of heat by the large-scale atmospheric circulation and storm systems. Prerequisites:
MATH 51 or CME100 and
PHYSICS 41.

Terms: Aut
| Units: 3

Instructors:
O'Neill, M. (PI)
;
Alvarado-Anderson, C. (TA)
;
Balakrishna, A. (TA)
;
Regibeau-Rockett, L. (TA)

## CEE 262I: Atmosphere, Ocean, and Climate Dynamics: the Ocean Circulation (CEE 162I, EARTHSYS 146B, ESS 246B)

Introduction to the physics governing the circulation of the atmosphere and ocean and their control on climate with emphasis on the large-scale ocean circulation. This course will give an overview of the structure and dynamics of the major ocean current systems that contribute to the meridional overturning circulation, the transport of heat, salt, and biogeochemical tracers, and the regulation of climate. Topics include the tropical ocean circulation, the wind-driven gyres and western boundary currents, the thermohaline circulation, the Antarctic Circumpolar Current, water mass formation, atmosphere-ocean coupling, and climate variability. Prerequisites:
MATH 51 or
CME100; and
PHYSICS 41; and a course that introduces the equations of fluid motion (e.g.
ESS 246A,
ESS 148, or
CEE 101B).

Last offered: Winter 2023

## CME 100: Vector Calculus for Engineers (ENGR 154)

Computation and visualization using MATLAB. Differential vector calculus: vector-valued functions, analytic geometry in space, functions of several variables, partial derivatives, gradient, linearization, unconstrained maxima and minima, Lagrange multipliers and applications to trajectory simulation, least squares, and numerical optimization. Introduction to linear algebra: matrix operations, systems of algebraic equations with applications to coordinate transformations and equilibrium problems. Integral vector calculus: multiple integrals in Cartesian, cylindrical, and spherical coordinates, line integrals, scalar potential, surface integrals, Green's, divergence, and Stokes' theorems. Numerous examples and applications drawn from classical mechanics, fluid dynamics and electromagnetism. Prerequisites: knowledge of single-variable calculus equivalent to the content of
Math 19-21 (e.g., 5 on Calc BC, 4 on Calc BC with
Math 21, 5 on Calc AB with
Math 21). Placement diagnostic (recommendation non-binding) at:
https://exploredegrees.stanford.edu/undergraduatedegreesandprograms/#aptext.

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

Instructors:
Khayms, V. (PI)
;
Le, H. (PI)
;
Ankeney, G. (TA)
;
Du, T. (TA)
;
Garg, R. (TA)
;
Kopff, A. (TA)
;
Lan, H. (TA)
;
Muneton Gallego, J. (TA)
;
Nzia Yotchoum, H. (TA)
;
Ramanantsoa, R. (TA)
;
Xu, B. (TA)

## CME 100ACE: Vector Calculus for Engineers, ACE

Students attend
CME100/ENGR154 lectures with additional recitation sessions; two to four hours per week, emphasizing engineering mathematical applications and collaboration methods. Enrollment by department permission only. Prerequisite: must be concurrently enrolled in
CME100-01 or 02. Application at:
https://engineering.stanford.edu/students/programs/engineering-diversity-programs/additional-calculus-engineers

Terms: Aut, Spr
| Units: 1

Instructors:
Chian, S. (PI)
;
Hall-Zazueta, R. (PI)

## CME 106: Introduction to Probability and Statistics for Engineers (ENGR 155C)

Probability: random variables, independence, and conditional probability; discrete and continuous distributions, moments, distributions of several random variables. Numerical simulation using Monte Carlo techniques. Topics in mathematical statistics: random sampling, point estimation, confidence intervals, hypothesis testing, non-parametric tests, regression and correlation analyses. Numerous applications in engineering, manufacturing, reliability and quality assurance, medicine, biology, and other fields. Prerequisite:
CME100/ENGR154 or
Math 51 or 52.

Terms: Win, Sum
| Units: 4
| UG Reqs: GER:DB-Math, WAY-AQR, WAY-FR

Instructors:
Khayms, V. (PI)
;
Xu, B. (TA)

## EARTHSYS 146A: Atmosphere, Ocean, and Climate Dynamics: The Atmospheric Circulation (CEE 161I, CEE 261I, ESS 246A)

Introduction to the physics governing the circulation of the atmosphere and ocean and their control on climate with emphasis on the atmospheric circulation. Topics include the global energy balance, the greenhouse effect, the vertical and meridional structure of the atmosphere, dry and moist convection, the equations of motion for the atmosphere and ocean, including the effects of rotation, and the poleward transport of heat by the large-scale atmospheric circulation and storm systems. Prerequisites:
MATH 51 or CME100 and
PHYSICS 41.

Terms: Aut
| Units: 3

Instructors:
O'Neill, M. (PI)
;
Alvarado-Anderson, C. (TA)
;
Balakrishna, A. (TA)
;
Regibeau-Rockett, L. (TA)

## EARTHSYS 146B: Atmosphere, Ocean, and Climate Dynamics: the Ocean Circulation (CEE 162I, CEE 262I, ESS 246B)

Introduction to the physics governing the circulation of the atmosphere and ocean and their control on climate with emphasis on the large-scale ocean circulation. This course will give an overview of the structure and dynamics of the major ocean current systems that contribute to the meridional overturning circulation, the transport of heat, salt, and biogeochemical tracers, and the regulation of climate. Topics include the tropical ocean circulation, the wind-driven gyres and western boundary currents, the thermohaline circulation, the Antarctic Circumpolar Current, water mass formation, atmosphere-ocean coupling, and climate variability. Prerequisites:
MATH 51 or
CME100; and
PHYSICS 41; and a course that introduces the equations of fluid motion (e.g.
ESS 246A,
ESS 148, or
CEE 101B).

Last offered: Winter 2023

## ENGR 155C: Introduction to Probability and Statistics for Engineers (CME 106)

Probability: random variables, independence, and conditional probability; discrete and continuous distributions, moments, distributions of several random variables. Numerical simulation using Monte Carlo techniques. Topics in mathematical statistics: random sampling, point estimation, confidence intervals, hypothesis testing, non-parametric tests, regression and correlation analyses. Numerous applications in engineering, manufacturing, reliability and quality assurance, medicine, biology, and other fields. Prerequisite:
CME100/ENGR154 or
Math 51 or 52.

Terms: Win, Sum
| Units: 4
| UG Reqs: GER:DB-Math, WAY-AQR, WAY-FR

Instructors:
Khayms, V. (PI)
;
Xu, B. (TA)

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