Vector Calculus for Engineers


Stanford School of Engineering



Integrating computation, visualization and programming with MATLAB is a powerful approach to model and control systems. This course builds on the fundamentals of calculus to explore vector analysis techniques that are essential for engineers. Using examples drawn from various engineering fields, it introduces differential and integral vector calculus and linear algebra to analyze the effects of changing conditions on a system.

Topics Include

  • Analytic geometry in space
  • Green's, divergence and Stokes' theorems
  • Integrals in Cartesian, cylindrical and spherical coordinates
  • Lagrange multipliers
  • Matrix operations
  • Partial derivatives
  • Unconstrained maxima and minima

Note on Course Availability

The course schedule is displayed for planning purposes – courses can be modified, changed, or cancelled. Course availability will be considered finalized on the first day of open enrollment. For quarterly enrollment dates, please refer to our graduate certificate homepage.


10 units of AP credit (Calc BC with 4 or 5, or Calc AB with 5), or Math41 and 42.