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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: Nielsen, M. (PI) ; Yee, E. (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) ; Fadl, M. (TA) ; Muneton Gallego, J. (TA) ... more instructors for CME 106 »

Instructors: Khayms, V. (PI) ; Fadl, M. (TA) ; Muneton Gallego, J. (TA) ; Ramanantsoa, R. (TA) ; Tsai, Y. (TA) ; Yakubovich, V. (TA)

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: Math 21 (preferred), or equivalent (5 on the AP Calculus BC test or suitable score on certain international exams: https://studentservices.stanford.edu/my-academics/earn-my-degree/undergraduate-degree-progress/test-transfer-credit/external-test-2)

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

Instructors: Khayms, V. (PI) ; Le, H. (PI) ; Fadl, M. (TA) ... more instructors for ENGR 154 »

Instructors: Khayms, V. (PI) ; Le, H. (PI) ; Fadl, M. (TA) ; Goel, P. (TA) ; Lavacot, D. (TA) ; Muneton Gallego, J. (TA) ; Ramanantsoa, R. (TA)