AS/SC/MATH 2010.03F

Vector Differential Calculus

This course is primarily for Honours students. It covers much of the material of MATH2310.03 but with more emphasis on mathematical reasoning and concepts.

The course content consists of: power series in one variable; uniform convergence. Algebra and calculus of vectors in 3-space with geometric applications; lines, curves, planes, surfaces; arc length and curvature. Calculus of several variables: differentiability, extrema, Lagrange multipliers, inverse function and implicit function theorems.

The text will be announced later.