## ENGR 10: Introduction to Engineering Analysis

Integrated approach to the fundamental scientific principles that are the cornerstones of engineering analysis: conservation of mass, atomic species, charge, momentum, angular momentum, energy, production of entropy expressed in the form of balance equations on carefully defined systems, and incorporating simple physical models. Emphasis is on setting up analysis problems arising in engineering. Topics: simple analytical solutions, numerical solutions of linear algebraic equations, and laboratory experiences. Provides the foundation and tools for subsequent engineering courses. Prerequisite: AP Physics and AP Calculus or equivalent.

Terms: Spr, Sum
| Units: 4
| UG Reqs: GER:DB-EngrAppSci, WAY-FR, WAY-AQR

Instructors:
Cappelli, M. (PI)

## ENGR 40A: Introductory Electronics

Instruction will be completed in the first seven weeks of the quarter. Students not majoring in Electrical Engineering may choose to take only
ENGR 40A; Electrical Engineering majors should take both
ENGR 40A and
ENGR 40B. Overview of electronic circuits and applications. Electrical quantities and their measurement, including operation of the oscilloscope. Basic models of electronic components including resistors, capacitors, inductors, and operational amplifiers. Lab. Lab assignments. Enrollment limited to 300.

Terms: Sum
| Units: 3
| UG Reqs: GER:DB-EngrAppSci, WAY-SMA, WAY-AQR

## ENGR 40M: An Intro to Making: What is EE

Is a hands-on class where students learn to make stuff. Through the process of building, you are introduced to the basic areas of EE. Students build a "useless box" and learn about circuits, feedback, and programming hardware, a light display for your desk and bike and learn about coding, transforms, and LEDs, a solar charger and an EKG machine and learn about power, noise, feedback, more circuits, and safety. And you get to keep the toys you build. Prerequisite:
CS 106A.

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

Instructors:
Kozyrakis, C. (PI)
;
Lee, T. (PI)
;
Rivas-Davila, J. (PI)
...
more instructors for ENGR 40M »

Instructors:
Kozyrakis, C. (PI)
;
Lee, T. (PI)
;
Rivas-Davila, J. (PI)
;
Van, E. (PI)
;
ADEGBENRO, F. (TA)
;
Ayantayo, H. (TA)
;
Calloway, C. (TA)
;
Deutsch, J. (TA)
;
Farias Canepa, C. (TA)
;
Johnston, R. (TA)
;
Lakdawala, S. (TA)
;
Mukania, J. (TA)
;
Pyarali, M. (TA)
;
Somerville Roberts, J. (TA)

## ENGR 42: Introduction to Electromagnetics and Its Applications (EE 42)

Electricity and magnetism and its essential role in modern electrical engineering devices and systems, such as sensors, displays, DVD players, and optical communication systems. The topics that will be covered include electrostatics, magnetostatics, Maxwell's equations, one-dimensional wave equation, electromagnetic waves, transmission lines, and one-dimensional resonators. Pre-requisites: none.

Terms: Spr, Sum
| Units: 5
| UG Reqs: GER:DB-EngrAppSci, WAY-AQR, WAY-SMA

Instructors:
Solgaard, O. (PI)
;
Kroo, A. (SI)
;
Fernandes, M. (TA)
...
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Instructors:
Solgaard, O. (PI)
;
Kroo, A. (SI)
;
Fernandes, M. (TA)
;
Kroo, A. (TA)
;
Valdez, C. (TA)

## ENGR 60: Engineering Economics and Sustainability (CEE 146S)

Engineering Economics is a subset of the field of economics that draws upon the logic of economics, but adds that analytical power of mathematics and statistics. The concepts developed in this course are broadly applicable to many professional and personal decisions, including making purchasing decisions, deciding between project alternatives, evaluating different processes, and balancing environmental and social costs against economic costs. The concepts taught in this course will be increasingly valuable as students climb the carrier ladder in private industry, a non-governmental organization, a public agency, or in founding their own startup. Eventually, the ability to make informed decisions that are based in fundamental analysis of alternatives is a part of every career. As such, this course is recommended for engineering and non-engineering students alike. This course is taught exclusively online in every quarter it is offered. (Prerequisites:
MATH 19 or 20 or approved equivalent.)

Terms: Aut, Spr, Sum
| Units: 3

## ENGR 145S: Technology Entrepreneurship (ENGR 145)

How does the entrepreneurship process enable the creation and growth of high-impact enterprises? Why does entrepreneurial leadership matter even in a large organization or a non-profit venture? What are the differences between just an idea and true opportunity? How do entrepreneurs form teams and gather the resources necessary to create a successful startup? Mentor-guided projects focus on analyzing students' ideas, case studies allow for examining the nuances of innovation, research examines the entrepreneurial process, and expert guests allow for networking with Silicon Valley's world-class entrepreneurs and venture capitalists. For undergraduates of all majors with interest in startups the leverage breakthrough information, energy, medical and consumer technologies. No prerequisites. Limited enrollment.

Terms: Sum
| Units: 4
| UG Reqs: WAY-SI, GER:DB-SocSci

Instructors:
Hwang, R. (PI)
;
Mokrian, P. (PI)

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

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, Sum
| Units: 5
| UG Reqs: GER:DB-Math, WAY-FR

Instructors:
Khayms, V. (PI)
;
Le, H. (PI)
;
Ali, M. (TA)
;
Amdekar, A. (TA)
;
Ayala Bellido, C. (TA)
;
Brink, T. (TA)
;
Diller, E. (TA)
;
Kopff, A. (TA)
;
Koppaka, S. (TA)
;
Lan, H. (TA)
;
Mikou, M. (TA)
;
Nagpal, A. (TA)
;
Panda, A. (TA)
;
Xu, B. (TA)
;
Zeng, L. (TA)

## ENGR 155A: Ordinary Differential Equations for Engineers (CME 102)

Analytical and numerical methods for solving ordinary differential equations arising in engineering applications are presented. For analytical methods students learn to solve linear and non-linear first order ODEs; linear second order ODEs; and Laplace transforms. Numerical methods using MATLAB programming tool kit are also introduced to solve various types of ODEs including: first and second order ODEs, higher order ODEs, systems of ODEs, initial and boundary value problems, finite differences, and multi-step methods. This also includes accuracy and linear stability analyses of various numerical algorithms which are essential tools for the modern engineer. This class is foundational for professional careers in engineering and as a preparation for more advanced classes at the undergraduate and graduate levels. 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, Win, Spr, Sum
| Units: 5
| UG Reqs: WAY-FR, GER:DB-Math

## 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: WAY-FR, GER:DB-Math, WAY-AQR

Instructors:
Khayms, V. (PI)
;
Kopff, A. (TA)
;
Lan, H. (TA)
;
Mikou, M. (TA)
;
Nagafuchi, Y. (TA)
;
Xu, B. (TA)

## ENGR 199W: Writing of Original Research for Engineers

Technical writing in science and engineering. Students produce a substantial document describing their research, methods, and results. Prerequisite: completion of freshman writing requirements; prior or concurrent in 2 units of research in the major department; and consent of instructor. WIM for select School of Engineering majors with permission from advisor.

Terms: Aut, Win, Spr, Sum
| Units: 1-3

Instructors:
Altman, R. (PI)
;
Attardi, L. (PI)
;
Bhatt, A. (PI)
...
more instructors for ENGR 199W »

Instructors:
Altman, R. (PI)
;
Attardi, L. (PI)
;
Bhatt, A. (PI)
;
Butte, A. (PI)
;
Covert, M. (PI)
;
Daniel, B. (PI)
;
Davis, J. (PI)
;
Ding, J. (PI)
;
Eesley, C. (PI)
;
Endy, D. (PI)
;
Fire, A. (PI)
;
Fuller, G. (PI)
;
Gurtner, G. (PI)
;
Harrison, K. (PI)
;
Hildemann, L. (PI)
;
Huang, K. (PI)
;
Katila, R. (PI)
;
Keller, C. (PI)
;
Kelley, D. (PI)
;
Kenny, T. (PI)
;
Levenston, M. (PI)
;
McDevitt, M. (PI)
;
Moin, P. (PI)
;
Mungal, M. (PI)
;
Okamura, A. (PI)
;
Osgood, B. (PI)
;
Palmer, M. (PI)
;
Safavi-Naeini, A. (PI)
;
Sheppard, S. (PI)
;
Smith, J. (PI)
;
Swartz, J. (PI)
;
Wakatsuki, S. (PI)
;
Williams, L. (PI)