Honors Seminar: Multivariable Integral Calculus (s) 26433 Math GA

26433 Grade Level: 11th - 12th Prerequisite: Honors Seminar: Stanford Multivariable Differential Calculus (f) and departmental approval

This course is a university level course in integral calculus for functions of two or more variables through Stanford University’s Online Math and Physics Program for High School Students. Students work under the guidance of a GA math teacher, but the curriculum, problem sets, and exams are sent from Stanford University. Course topics include double and triple integrals in all coordinate systems, surface areas of parametrically defined functions, change of variables and the Jacobian, vector fields, flux and various other applications to physics, line integrals, Green’s theorem, the divergence theorem, and Stokes’ theorem. Exercises continue to be both computational and proof-oriented. This course requires significant self-motivation and independent learning and thus admission to the course is selective. This course also carries Stanford University Continuing Studies credit and students are eligible to earn a Stanford University Continuing Studies Transcript.