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

Computation and visualization using MATLAB. Differential vector calculus: analytic geometry in space, functions of several variables, partial derivatives, gradient, unconstrained maxima and minima, Lagrange multipliers. Introduction to linear algebra: matrix operations, systems of algebraic equations, methods of solution and applications. Integral vector calculus: multiple integrals in Cartesian, cylindrical, and spherical coordinates, line integrals, scalar potential, surface integrals, Green¿s, divergence, and Stokes¿ theorems. Examples and applications drawn from various engineering fields. Prerequisites: 10 units of AP credit (Calc BC with 4 or 5, or Calc AB with 5), or
Math 41 and 42. Note: Students enrolled in section 100-02 and 100A-02 are required to attend the discussion section (section 03) on Thursdays 4:30-5:50pm.

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

Instructors:
Khayms, V. (PI)
;
Mani, A. (PI)
;
Osgood, B. (PI)
;
Ahluwalia, V. (TA)
;
Genin, M. (TA)
;
Haaland, C. (TA)
;
Harris, S. (TA)
;
Inamdar, A. (TA)
;
Jiang, R. (TA)
;
Li, Y. (TA)
;
Patki, R. (TA)
;
Ruan, K. (TA)
;
Sheshadri, A. (TA)
;
Siripuram, A. (TA)
;
Zhang, W. (TA)
;
de Lichy, C. (TA)

## CME 100A: 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: application at:
http://soe.stanford.edu/current_students/edp/programs/ace.html

Terms: Aut, Win
| Units: 6
| UG Reqs: GER:DB-Math, WAY-FR

Instructors:
Khayms, V. (PI)
;
Mani, A. (PI)
;
Osgood, B. (PI)
;
Ahluwalia, V. (TA)
;
Genin, M. (TA)
;
Inamdar, A. (TA)
;
Jiang, R. (TA)
;
Li, Y. (TA)
;
Patki, R. (TA)
;
Ruan, K. (TA)
;
Sheshadri, A. (TA)
;
Siripuram, A. (TA)
;
Zhang, W. (TA)
;
de Lichy, C. (TA)