|
Undergraduate Programs
Undergraduate Home
Admissions and Financial Aid
Research Opportunities
Other Opportunities
Degree Programs
Course Descriptions
Current Courses
Honors Program
Applying to Graduate School
After Graduation
Math Links |
Undergraduate Courses
21-269 Vector Analysis Fall or Spring: 10 units Description: An honors version of 21-268 for students of greater aptitude and motivation. More emphasis will be placed on writing proofs. Topics to be covered include: basic geometry and topology of Euclidean space, curves in space, arclength, curvature and torsion, functions on Euclidean spaces, limits and continuity, partial derivatives, gradients and linearization, chain rules, inverse and implicit function theorems, geometric applications, higher derivatives, Taylor’s theorem, optimization, vector fields, multiple integrals and change of variables, Leibnitz’s rule, conservative and solenoidal vector fields, divergence and curl, surfaces and orientability, surface integrals, Gauss-Green theorems and Stokes’s theorem. |
