MA 2233 Lecture 01 - Orientation in 3D
Monday, August 27, 2012.
Objectives: Warm up to viewing objects in 3 dimensions.
For the most part, we will be extending concepts covered in Calculus I and II to
MA 2233 Lecture 14 - Partial Derivatives and the Gradient
Wednesday, October 3, 2012.
Objectives: Review partial derivatives from labs.
Functions of two variables and partial derivatives
Weve been pla
MA 2233 Lecture 13 - Curvature and the Chain Rule
Monday, October 1, 2012.
Objectives: Introduce arclength parameter and curvature.
The Chain Rule
Working with arclength parametrizations is pretty mes
MA 2233 Lecture 15 - Directional Derivatives
Friday, October 5, 2012.
Objectives: Introduce directional derivatives
Directional derivatives
The partial derivatives fx and fy give us the slopes at a po
MA 2233 Lecture 12 - Arclength Parameter
Friday, September 28, 2012.
Objectives: Introduce arclength parameter.
Arclength parameter s
Given a parametrization, we can dene an arclength function
t
(1)
s
MA 2233 Lecture 11 - Arclength
Wednesday, September 26, 2012.
Objectives: Introduce arclength of a curve.
Computing distance
Example 1. Consider this simple problem. An object is traveling at 12 feet
MA 2233 Lecture 09 - Unit Tangent and Unit Normal vectors
Friday, September 21, 2012.
Objectives: Introduce T and N.
Given a parametrization
(1)
r(t) = x(t)i + y(t)j + z(t)k,
we can dierentiate to obt
MA 2233 Lecture 07 - Overview of Vector Functions
Friday, September 14, 2012.
Objectives: Collect vector function concepts from labs.
Vector functions in one variable
A vector (valued) function in thr
MA 2233 Lecture 08 - Tossing Rocks
Monday, September 17, 2012.
Objectives: Use parametrizations to model a physics problem.
Tossing a rock
To give some context to what weve been talking about, lets ex
MA 2233 Lecture 03 - Intro to graphing and vectors
Friday, August 31, 2012.
Objectives: Intro to vectors and vector arithmetic
Vectors
A vector is a generalization of a number. It consists of a non-ne
MA 2233 Lecture 02 - Orientation and Intro to graphing and vectors
Wednesday, August 29, 2012.
Objectives: Start looking at graphing and introduce vectors.
Orientation
Lets consider a simple 3D concep
MA 2233 Lecture 05 - The Cross Product
Friday, September 7, 2012.
Objectives: Continue vector arithmetic with the cross product
1. Cross product
Our third kind of vector multiplication is called the c
MA 2233 Lecture 06 - The Gradient on a Plane
Monday, September 10, 2012.
Objectives: Introduce the gradient on a plane, normal vector, and standard equations.
Review of planes
We went over planes a bi
MA 2233 Lecture 04 - More vector arithmetic
Wednesday, September 5, 2012.
Objectives: Continue with vector arithmetic
The standard unit vectors
It will be convenient to have names for the unit vectors
MA 2233 Lecture 10 - Unit Tangent and Unit Normal Vectors (cont.)
Monday, September 24, 2012.
Objectives: Continue T and N with some examples.
v(t)
Note on derivative of
You computed the derivative of