Interactive Exercises
These interactive pages allow you to practice certain mathematical techniques (e.g. calculus of fractions). Javascript needs to be activated in your browser; usually this is the default setup. You can use these pages from mobile devices. So start practicing!
- Union, intersection, set differences
- Power sets
- Injective, surjective and bijective
- Fractions
- Zeros of quadratic polynomials
- Division of polynomials
- Complex numbers
- Finite fields
- Products of vectors
- Matrix multiplication
- Inverting matrices
- Basis transformation
- Matrices representing linear maps
- Determinants
- Orientations
- Volume of a parallelotope
- Characteristic polynomials
- Minimal polynomial
- Eigenvalues
- Diagonalizing matrices
- Jordan normal form
- Sylvester's theorem
- Gram-Schmidt process
- Euclidean triangles
- Spherical triangles
- Hyperbolic triangles
These pages use the open source computer algebra system SageMath. The computations are performed on the Sage Cell Server.