It gives me great pleasure to announce the release of approximately 215 calculus questions in STACK format as open educational resources.
Each of these questions should have
- randomly generated versions
- full worked solution
They are inspired by, with permission, the questions in the Calculus Refresher.
- Derivatives of basic functions
- Linearity in differentiation
- Higher derivatives
- The product rule for differentiation
- The chain rule for differentiation
- Differentiation of functions defined implicitly
- Differentiation of functions defined perimetrically
- Miscellaneous differentiation exercises
- Integrals of basic functions
- Linearity in integration
- Evaluating definite integrals
- Integration by parts
- Integration by substitution
- Integration using partial fractions
- Integration using trigonometrical identities
- Miscellaneous integration exercises
Note that a "guest" cannot take a quiz: sorry you will have to register and enrole on the course to have a look at the materials. This a restriction is not of my making!
The source code of these questions has been bundled with the distribution of STACK itself in the CVS. This means we can have the benefit of version control on the code, hopefully ensuring that you will have confidence you have the latest versions. For those without a CVS client, you can download the files from the CVS, which is available online. These materials are released under the Creative Commons Attribution-Share Alike 3.0.
The work on the calculus refresher has been made possible, in part, by support from the FETLAR Project. http://www.fetlar.bham.ac.uk/ The FETLAR project is the MSOR community's bid through the Subject Centre strand for the Open Educational Resources (OER) call from HEFCE/JISC.
Before Christmas I plan to release further materials, approximately 140 questions on algebra. These map onto most of the individual questions in Tony Barnard's Map of Algebraic Manipulation.
I also have some questions in (i) complex numbers and (ii) matrices, which I hope to be able to release soon also. Of course, I'd welcome additional sets of questions from anyone else who is using STACK and who is willing to share in this way. Please do not hesitate to contact me.