MATH 225 - Spring 2025

  Announcements

    The course is now running through blackboard.

      This website will be maintained for one more week.


  Syllabus (updated — 1/23)


  Rileigh's (TA) Office Hours: M: 1-2pm, M&P 401


  Errata for the Farlow Textbook

  Temporary E-book Resource

  Desmos Grapher

    

   Week 1 (1/27) - Syllabus and Course Mechanics; Basic Concepts and Classification I

     HW: Read the syllabus closely; Read the Prologue and Section 1.1 (pp.2--13)

       1.1) 1, 2, 4, 7, 12, 13, 16


     Day 1 Materials

     Basic Ideas Notes


   Week 2 (2/3) - Classification II and General Notions

     HW: Read Section 1.2

       1.2) 3, 4, 5, 8, 11, 14, 26b,e, 30, 32, 33, 34b,d, 41, 42, 44

       Bonus Questions: 35, 45, 46, 48.


     Beginning Theory Notes


     Picard Notes (with examples)


   Week 3 (2/14) - First Order, Integrating Factor, Separability

     Read 2.3-2.6 for next week!

     HW: 2.1) 2, 8, 14, 19, 21, 24, 27, 31;   2.2) 2-9, 14, 15, 21, 22, 23, 28, 39

     Bonus: 2.1) 22, 23, 26;   2.2) 41, 42, 43


   Week 4 (2/21) - Separability and Other First Order

     Watch before 3/1 (~90 mins):

     HW: 2.3) 5, 6, 12; 2.4) 3, 4; 2.5) 1,3, 7 OR 8

     Bonus: 2.3) 36, 41, two questions below:

        1.) Write your own ``homogeneous" ODE and solve it completely.

        2.) Write your own exact ODE and solve; draw two or three level curves of the potential function.