Bridge Project — Papers
The Vector Calculus Gap
(the paper which got us started)
Electromagnetic Conic Sections
(a new way to look at divergence and curl) (
HTML version
;
©
)
Using Differentials to Bridge the Vector Calculus Gap
(the core of our approach) (
corrected version
)
Bridging the Vector (Calculus) Gap
(suggestions for teaching about vectors)
The Murder Mystery Method
(finding potential functions made easy)
Spherical Coordinates
(a proposal for bridging a language gap)
Bridging the Gap between Mathematics and Physics
(language differences between disciplines)
Bridging the Gap between Mathematics and the Physical Sciences
(more on language differences)
The Geometry of the Dot and Cross Products
(a geometric approach) (
MathML version
;
plugin
)
Why is Ampère's Law so Hard?
(student difficulties mastering this material) (
HTML version
;
©
)
Putting differentials back into calculus
(differentials in first-year calculus)
A Difficult Climb
(a dialogue about paths on hills) (
©
)
Finding Geodesics
(further comments on hills) (
Mathematica notebook
;
©
)
Using differentials to differentiate trigonometric and exponential functions
(further uses of differentials)
(Full citation information is available on
this website
. A BiBTeX file is available
here
.)
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