Difference between revisions of "Using Mediawiki In The Classroom"

From Sean_Carver
Jump to: navigation, search
Line 12: Line 12:
 
  for all ''x'' in (''a'', ''b'').
 
  for all ''x'' in (''a'', ''b'').
  
* Images
+
* Images [[Image:FTC geometric.svg|500px|thumb|right|The area shaded in red stripes can be estimated as ''h'' times ''ƒ''(''x''). Alternatively, if the function ''A''(''x'') were known, it could be computed as ''A''(''x'' + ''h'') − ''A''(''x''). These two values are approximately equal, particularly for small ''h''.]]
 
+
For a continuous function {{nowrap|1=''y'' = ƒ(''x'')}} whose graph is plotted as a curve, each value of ''x'' has a corresponding area function ''A''(''x''), representing the area beneath the curve between 0 and ''x''. The function ''A''(''x'') may not be known, but it is given that it represents the area under the curve.
 
* Links to other websites (e.g. [http://en.wikipedia.org/wiki/Fundamental_theorem_of_calculus Fundamental Theorem of Calculus])
 
* Links to other websites (e.g. [http://en.wikipedia.org/wiki/Fundamental_theorem_of_calculus Fundamental Theorem of Calculus])
 
* Links to other pages within Class notes (e.g. [[Survey01|surveys]]).
 
* Links to other pages within Class notes (e.g. [[Survey01|surveys]]).

Revision as of 18:33, 14 March 2011

  • I find it very easy to develop then deliver lectures with Mediawiki
  • Mediawiki has well tested, powerful features, (It runs Wikipedia),

Including:

  • Tex formula, e.g. fundamental theorem of calculus:
Let ƒ be a continuous real-valued function defined on a closed interval [a, b]. Let F be the function defined, for all x in [a, b], by
F(x) = \int_a^x f(t)\, dt\,.
Then, F is continuous on [a, b], differentiable on the open interval (ab), and
F'(x) = f(x)\,
for all x in (a, b).
  • Images
    File:FTC geometric.svg
    The area shaded in red stripes can be estimated as h times ƒ(x). Alternatively, if the function A(x) were known, it could be computed as A(x + h) − A(x). These two values are approximately equal, particularly for small h.

For a continuous function Template:Nowrap whose graph is plotted as a curve, each value of x has a corresponding area function A(x), representing the area beneath the curve between 0 and x. The function A(x) may not be known, but it is given that it represents the area under the curve.

Additionally, Mediawiki is

  • Free and open source
  • Collaborative (e.g. Instructor and TAs can have, but students need not have, edit privileges)