Math 252 Review Sheet:

1. Review the followings if  1. the arc length of  2. the unit tangent vector,  3. the unit normal vector,  4. the unit binormal vector,  5. the curvature function, (theorem 9,10 and 11)

6. the velocity function,

7. the acceleration function.

8. express the acceleration function in terms of  and  2. Consider the space curve  1. Find the tangent line when  2. Set up the integral for the arc length of  for  to  3. Use Maple to figure out  and  3. Repeat problem 2 above if  4. Consider the space curve  1. Sketch the curve from  to  2. Draw the vectors  and  3. Indicate where the curvature for  is the largest and the smallest (by inspection) for  5. Use implicit differentiation to find the curvature of an ellipse  at  and  6. Understanding the contour map and the level curves. For example:

1.  2.  3.  7. The existence of a limit  1. Review examples from your notes and homeworks.

2. Determine if  exists.

3. Find the limit if it exists:  8. Find the region where  is continuous.

9. Find the region where  is continuous.

10. Understanding Partial Derivatives algebraically and graphically.

1. Consider  1. find  2. If  is the curve traveling traveling along  from  to  find the parameterization for  3. explain the relationship between  and  2. Try the homworks from the text.

3. Use Maple to understand partial derivatives graphically.

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