Welcome to Differential Equations! For course info and policies, please see the syllabus. For grades, log into Moodle. If you need help or have questions, please contact Prof. Wright; office hours are Mon. 1–2, Tues. 2–3, Wed. 9–10, Thurs. 9:30–10:30, Fri. 1–2 in RMS 409.
Below is a tentative outline of the course. Use the controls at right to make the page easier to view.
Unless otherwise noted, homework listed below is assigned on the day indicated and due in the homework mailbox at 4:00pm on the next class day. For example, homework assigned on a Tuesday is due at 4:00pm Thursday.
February 8–12 − hide
Day  Topic  Homework Assigned 

Tuesday Feb. 9  Modeling with differential equations  Read §1.1, do exercises #3, 5, 13, 15, 17; Read §1.2 
Thursday Feb. 11  Separation of varibles and slope fields  Read §1.2, do #1, 3, 5, 7, 9, 15, 17, 23, 35; Read §1.3, do #1, 3, 5, 7, 15 
February 15–19 − hide
Day  Topic  Homework Assigned  Other 

Tuesday Feb. 16  Slope fields and Euler's method Mathematica notebook; PDF  Read §1.4; Do §1.3 #11, 13, 16, 17 and §1.4 #1, 3, 5; Watch this video before next class  Lab 1 due Feb. 25; LaTeX file 
Thursday Feb. 18  Existence and uniqueness of solutions solutions to practice problems; LaTeX file; Phase line  Read §1.5, do exer. #2, 3, 5–9, 11, 13; Read §1.6, do exer. #1, 4, 7, 10 
February 22–26 − hide
Day  Topic  Homework Assigned 

Tuesday Feb. 23  Phase line and bifurcations  Do §1.6 exercises #13, 16, 19, 32, 33, 34; Read §1.7, do exer. #4, 8, 9, 11, 12, 13, 16; Lab 1 due Thursday (Moodle link) 
Thursday Feb. 25  Linear equations and integrating factor  Read §1.8, do #1, 4, 5, 8, 10, 13, 17, 23; Read §1.9, do #1, 4, 5, 12, 19 
February 29 – March 4 − hide
Day  Topic  Homework Assigned  Other 

Tuesday Mar. 1  Systems of linear equations  Do Ch. 1 review #29, 32 (p. 137); Read §2.1, do #1–4, 7a, 8a, 15, 20–22  LotkaVolterra plotter 
Thursday Mar. 3  Geometry of systems and damped harmonic oscillator  Read §2.2, do #1, 2, 9, 10, 11, 14, 21; Read §2.3  Lab 2 due Mar. 17; LaTeX file 
March 7–11 − hide
Day  Topic  Homework Assigned 

Tuesday Mar. 8  Additional topics from Chapter 2 (not on Exam 1)  Do §2.3 #1, 2, 5, 6; Read §2.4, do #1, 2, 4, 5, 6, 7, 10 (due Mar. 15) 
Thursday Mar. 10 
Exam 1:

March 14–18 − hide
Day  Topic  Homework Assigned 

Tuesday Mar. 15  Linear systems and straightline solutions  Read §3.1, do #5, 9, 15, 16, 24, 27, 28, 29, 33; Read §3.2; Lab 2 due Thursday (Moodle link) 
Thursday Mar. 17  Linear systems with real eigenvalues  Do §3.2 #1–6, 11, 12, 21; Read §3.3, do #1–4, 9, 10, 13 
March 21–25 − hide
Spring Break  

no class 
March 28 – April 1 − hide
Day  Topic  Homework Assigned  Other 

Tuesday Mar. 29  Complex eigenvalues  Read §3.4, do #1, 3–6, 9–12, 15, 16, 23  
Thursday Mar. 31  Repeated and zero eigenvalues  Read §3.5, do #1, 2, 5, 6, 9, 11, 17, 18, 21, 22  Lab 3 due April 21; LaTeX file 
April 4–8 − hide
Day  Topic  Homework Assigned 

Tuesday Apr. 5  Tracedeterminant plane  Read §3.7, do #1, 2, 3, 4, 5, 11, 12 
Thursday Apr. 7  Secondorder linear equations  Read §3.6, do #1, 2, 6, 7, 10, 13, 16, 21, 24 
April 11–15 − hide
Day  Topic  Homework Assigned 

Tuesday Apr. 12  Forced harmonic oscillators  Read §4.1, do #1, 4, 7, 9, 13, 16, 22, 26, 33, 37 
Thursday Apr. 14  Sinusoidal and undamped forcing Desmos graph: forced oscillator  Read §4.2, do #1–4, 11, 12, 17, 19 
April 18–22 − hide
Day  Topic  Homework Assigned 

Tuesday Apr. 19  Resonance and beats Desmos graph: beats  Read §4.3; Lab 3 due Thurs., April 21 (Moodle link) 
Thursday Apr. 21 
Exam 2:

April 25–29 − hide
Day  Topic  Homework Assigned  Other 

Tuesday Apr. 26  Nonlinear systems: equilibrium point analysis  Read §5.1, do #1, 4, 5, 8ab, 16ab, 18, 21  
Thursday Apr. 28  Qualitative analysis (nullclines, etc.)  Read §5.2, do #3, 7, 8, 17, 18, 19, 21  Lab 4 due May 17; LaTeX file 
May 2–6 − hide
Day  Topic  Homework Assigned 

Tuesday May. 3  Hamiltonian systems  Read §5.3, do #1, 9–12, 14, 15 
Thursday May. 5  Laplace transforms  Read §6.1, do #1, 2, 6–10, 15, 16, 22, 23, 26 
May 9–13 − hide
Day  Topic  Homework Assigned 

Tuesday May. 10  Laplace transforms of discontinuous functions and secondorder equations; Mathematica plot  Read §6.2, do #1, 2, 3, 5, 7, 9, 11; Read §6.3, do #5, 11, 15 
Thursday May. 12  Laplace transforms of secondorder equations and delta functions; Mathematica plot  Do §6.3 #27; Read §6.4, do #2, 3, 5, 7; Lab 4 due Tues., May 17 (Moodle link) 
May 16–20 − hide
Day  Topic 

Tuesday May. 17 
Review for final exam—notes from class. Final Exam Information:

Thursday May. 19  Final exam for Math 230B 2:00 – 4:00pm 
May 23–27 − hide
Day  Topic 

Monday May. 23  Final exam for Math 230A 9:00 – 11:00am 