Differential Equations in One Variable

• Definition, reduction of explicit equations to first order
• Existence and uniqueness of solutions
• Differential inequalities
• Solutions to specific equations
  • One-dimensional time-independent equations of first or second order

Sources

Differential Equations and Boundary Value Problems- C.H. Edwards Jr and David E. Penny
MIT Open Courseware- http://ocw.mit.edu/index.html

• Kong, Qingkai (0000). A Short Course in Ordinary Differential Equations. Universe: Publisher. 
• Walter, Wolfgang (1998). Ordinary Differential Equations. New York: Springer.