Math 252 Review Sheet:
Review the followings if
the arc length of
the unit tangent vector,
the unit normal vector,
the unit binormal vector,
the curvature function, (theorem 9,10 and 11)
the velocity function,
the acceleration function.
express the acceleration function in terms of and
Consider the space curve
Find the tangent line when
Set up the integral for the arc length of for to
Use Maple to figure out and
Repeat problem 2 above if
Consider the space curve
Sketch the curve from to
Draw the vectors and
Indicate where the curvature for is the largest and the smallest (by inspection) for
Use implicit differentiation to find the curvature of an ellipse at and
Understanding the contour map and the level curves. For example:
The existence of a limit
Review examples from your notes and homeworks.
Determine if exists.
Find the limit if it exists:
Find the region where is continuous.
Find the region where is continuous.
Understanding Partial Derivatives algebraically and graphically.
Consider
find
If is the curve traveling traveling along from to find the parameterization for
explain the relationship between and
Try the homworks from the text.
Use Maple to understand partial derivatives graphically.