**BRIDGING THE VECTOR CALCULUS GAP**

*Tevian Dray & Corinne A. Manogue*

There is a surprisingly large gap between the way mathematicians on the one hand, and physical scientists and engineers on the other, do vector calculus. This gap is particularly apparent when students attempt to apply the vector calculus they have learned in mathematics courses to the problems in electromagnetism which they encounter in subsequent physics or engineering courses.

We are developing materials in an effort to bridge the gap between the way vector calculus is usually taught by mathematicians and the way it is used by other scientists. The methods we are using include the following:

- Differentials
- Multiple representations
- Symmetry (adapted bases, coordinates)
- Active engagement

In particular, we have developed a series of guided group activities emphasizing the geometry of vector calculus, and are in the process of writing an instructors' guide to accompany them.

If you are interested in trying some or all of our materials, please contact us. We expect to be offering summer workshops on the use of these materials; some funding for local expenses may be available.

Tevian Dray

Department of Mathematics

Oregon State University

Corvallis, OR 97331 tevian@math.oregonstate.edu

Department of Mathematics

Oregon State University

Corvallis, OR 97331 tevian@math.oregonstate.edu

Corinne A. Manogue

Department of Physics

Oregon State University

Corvallis, OR 97331 corinne@physics.oregonstate.edu

Department of Physics

Oregon State University

Corvallis, OR 97331 corinne@physics.oregonstate.edu