Interactive applications in undergraduate mathematics

This page contains links to various interactive applications that may be of interest to undergraduate mathematics students. The applications are intended to enhance understanding. They are not drill and practice exercises nor are they intended as calculation aids.

Java Applications

• Working with symmetries of the square
• Symmetries of the square
• Orbits of an action
• Fixed grids of an action
• Permutations and permutation groups
• Permutations
• Calculations in S4
• General groups
• Cayley tables of small groups showing Quotient (Factor) Groups
• A visualisation of small dicyclic groups
• Sequences and continuity
• Limits of sequences using an epsilon band.
• Animations showing two views of a sequence
• Animations to demonstrate the sequential definition of continuity
• Complex Analysis>
  • Demonstration of roots of complex numbers
  • Demonstration of winding numbers
• Differential Equations
• 'Flows' given by pairs of linear differential equations.

Since retiring from the Open University I have moved to writing in a combination of css, html5 and javascript. The reason for this is that the resulting software will run on mobile devices as well as computers. I also make use of 'Geogebra' when appropriate. Some of the following are versions of the original java applications.

• Algebra
• Elliptic curves
• Small groups
• Dicyclic groups
• Orbit stabiliser illustration
• Complex Analysis
• Roots of complex numbers
• Complex functions
• Principle of the Argument
• Metric Spaces
• Closed sets
• Continuity
• Supremum
• Sequences
• Open sets
• Every sequence has a monotonic subsequence

Under development

• Ruler and compass constructions
• Binomial Theorem

Feedback and questions would be appreciated. Please email camilla.jordan48'at'gmail.com.