Lecture notes
Notes will be posted here, chapter by chapter. Problems are given at the end of each chapter.
- Chapter 1 - by popular request! (It's not actually the introduction we did in the course)
- Chapter 2 - On regular points of maps
(updated 12/10/12 - changed neighbourhoods in proof of implicit function theorem etc and added end of proof of linearly adapted coords)
- Chapter 3 - The ring of germs
(updated 12/10/12 - added a couple of explanations)
- Chapter 4 - Right equivalence
(updated 28/10/12 - added a couple of exercises)
- Chapter 5 - Finite Determinacy for right equivalence
(updated 16/11/12 - rearranged to follow lecture)
- Chapter 6 - Classification of critical points
- Chapter 7 - Unfoldings and Families
- Chapter 8 not covered in the course!
- Chapter 9 - Bifurcation problems
- Chapter 10 - Contact equivalence
- Chapter 11 - Tangent spaces
- Chapter 12 - Classification not examined
- Chapter 13 - Unfoldings
- Appendices on Linear Algebra, ODEs and Rings (in a single file, with the bibliography)
- All chapters - Full Book of notes - with index (1.4Mb)
Swallowtail
Solutions to problem sheets
The problem sheets are at the end of each chapter of the notes
you will need your university login and password to access the solutions