Math 266 Ordinary Differential Equations

Instructor: Christian Moya-Calderon

Office: Math 415

Email: cmoyacal@purdue.edu

Office hours: 10:30 am to 2:30 pm Wednesday.

Course Information

The syllabus is available here. Additional information such as the office hours... can be found in this page.
The calendar is available here.
The homework information is available here; we have one or two homeworks for each section, the due date is usually one week after the topic is discussed.
We will use MyLab for the online homework and Gradescope for the written homework. A student guide to my Lab Math is available here.
A guide for submitting PDF homework in Gradescope is available here.
Lecture Notes

I will upload the class notes in this section.
  • Week 1, Jan 10 sec 1.1 , sec 1.2 , sec 1.3 .
  • Week 2, Jan 19 sec 1.4 (Separable Equations) ,population dynamics example ,sec 1.5 (Linear F.O. Eqns.).
  • Week 3, Jan 24 sec 1.5 (Linear F.O. Eq's part-2.),cascade of tanks example ,sec 1.6 (Substitution Methods),sec 1.6-b (Exact Equations).
  • Week 4, Jan 31 sec 2.1 (General Population Models),sec 2.2 (Equilibrium solutions and stability),sec 2.2-&-2.3 (Bifurcation points and acceleration-velocity models).
  • Week 5, Feb 07 sec 2.4 (Numerical Approximation),sec 3.1 (Second Order Linear Equations),sec 3.2 (Linear Equations of Higher Order).
  • Week 6, Feb 14 sec 3.3-1 (Homogeneos Eqs Constant Coefficients),sec 3.3-2 (Homogeneous Eqs Constant Coefficients 2),Review-midterm.
  • Week 7, Feb 21 sec 3.4 (Mechanical Vibrations).
  • Week 8, Feb 28 sec 3.5-1 (Nonhomog. Eqns, Undetermined Coeff.),sec 3.5-2 (Nonhomog. Eqns, Variation of Parameters), sec 3.6-1 (Forced Oscillations).
  • Week 9, Mar 07 sec 3.6-2 (Forced Oscillations - Resonance), sec 4.1 (First-Order Systems), sec 4.2 (The Method of elimination).
  • Week 10, Mar 21 sec 5.1 (Matrices and Linear Systems), sec 5.2-a (The Eigenvalue Method), sec 5.2-b (The Eigenvalue Method).
  • Week 11, Mar 28 sec 5.5 (Multiple Eigenvalue Solutions), sec 5.3 (A Gallery of Solns of Linear Systems), Sec 5.3 and Midterm review.
  • Week 12, Apr 04 Midterm review 2, sec 5.6 (Matrix Exponentials).
  • Week 13, Apr 11 sec 5.7 (Nonhomogenous system), sec 7.1 (Laplace transforms), sec 7.2 (Transformation of IVPs).
  • Week 14, Apr 18 sec 7.3 (Translation and Partial Fractions), sec 7.4 (Products of Transforms), sec 7.5 (Piecewise continuous functions).
  • Week 15, Apr 25 sec 7.6 (Impulse Functions and Duhamel's Principle), Practice - Final Exam.
    • Annotated Lecture Notes
  • Chapter 1.
  • Chapter 2.
  • Chapter 3.
  • Chapter 4.
  • Chapter 5.
  • Midterm-2 review.
  • Chapter 7.
  • Solution Practice - Final Exam.
    • Handwritten Homework

    I will upload the handwritten homework in this section. Submission will be through Brightspace/Gradescope.
  • Due-Jan 21 HW02 , HW03.
  • Due-Jan 26 HW04 , HW05.
  • Due-Feb 02 HW06 , HW08.
  • Due-Feb 09 HW09 , HW10.
  • Due-Feb 16 HW12 , HW13, HW14.
  • Due-Mar 02 HW16 , HW17.
  • Due-Mar 09 HW18 , HW19.
  • Due-Mar 23 HW20 .
  • Due-Mar 30 HW23 , HW24, HW25.
  • Due-Apr 15 HW26 , HW27, HW28, HW29.
  • Due-Apr 20 HW30 , HW31 , HW32.
  • Due-Apr 27 HW33 , HW34 , HW35 , HW36.
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