Recent graduate teaching:

How to write mathematics by P.R. Halmos, Enseignement Math. (2) 16 (1970), 123-152.
Also published in "How to Write Mathematics" by N.E. Steenrod, P.R. Halmos, M.M. Schier, and J.E. Dieudonne - AMS, 1973, 64 pp.

A Mathematician's Miscellany by J.E. Littlewood, Methuen & Co. Ltd. London (1953).
Read Chapter "Cross-purposes, unconscious assumptions, howlers, misprints, etc." 29-44pp.

More advice on math writing



• Spring 2023: the undergraduate course MAT 461 "Hamiltonian Mechanics"
  


• Fall 2022: the graduate course MAT 1347H "Symplectic topology and Morse theory":
  Syllabus;
  


• Fall 2021: the (under)graduate course MAT1840HF /MAT482H1F "Control Theory"
  
  
• Fall 2021: course "Geometric Fluid Dynamics" (online, Henan University)
  
  
• Spring 2020: the graduate course MAT 1347HS "Integrable systems":
  Syllabus and references.
  


• Fall 2018: the (under)graduate course MAT 1840HF /MAT 482H1F "Control Theory"
  Syllabus, Topics for minipapers.
  


• Spring 2018: the graduate course MAT 1126HS "Lie Groups and Hamiltonian PDEs"
  Syllabus, Extended Lecture notes.
  


• Spring 2016: the graduate course MAT 1052HS "Integrable systems"
  Syllabus, Topics for minipapers.
  


• Fall 2014: the graduate course MAT 1347H "Symplectic topology and Morse theory":
  Syllabus;
  


• Spring 2013: the graduate course MAT 1126HS "Lie Groups and Hamiltonian PDEs"
  Syllabus, Extended Lecture notes, Topics for minipapers;
  


• Fall 2011: the graduate course MAT 1347HF "Integrable systems":
  Syllabus, Topics for minipapers.
  


• Fall 2008: the graduate course MAT 1121HF "Lie groups and Hamiltonian dynamical systems":
  Syllabus, extended Lecture notes.
  


• Spring 2008: the graduate course MAT 1347HS "Symplectic topology and integrable systems":
  Syllabus, Lecture notes for S.Tabachnikov's course (PennState U).
  


• Fall 2006: the graduate course MAT 1126HF "Introduction to Nonholonomic
  Mechanics and Geometry" : Syllabus.
  


• Fall 2005: the graduate course MAT 1126HF "Lie Groups and Fluid Dynamics" :
  Syllabus, Survey paper.