Chapter 2: Vector Functions and Curves
I. Calculus of Vector-valued Functions
A vector parametric equation of a line in 2-space
(plane), or 3-space, looks like:
~r = ~a + t~v,
< t <
Considering it as a time-dependent vector,
~r = ~r(t) = ~a + t~v
Math 2215 Mathematical Analysis, Tutorial 3 (Feb 01, 2016)
How to define being close to each other?
Neighborhood (Notation: N (x, )
Given x R and > 0 , N (x, ) = cfw_y : |x y| < e.
- Neighborhood is a set collecting all y which is -close to x.
- Use neig
Vectors and Coordinate Geometry in 3-Space
Week 1-2: Algebra and Geometry of Vectors
I. Rectangular Coordinates
Rectangular coordinate system
coordinate system for 3space