Schedule

The schedule below is a record of what we have done as well as a rolling estimate for what we will do. Course materials will be posted here and distributed in class. Suggested problems are in William F. Trench's Elementary Differential Equations. Solutions to even-numbered problems can be found in the corresponding Student Solutions Manual.

• Week 1
  • 1/17: 1.1,2 Introduction and basic concepts. Suggested problems in 1.2: 2, 4, 6, 8.
  • 1/19: 1.3 Direction fields. Suggested problems in 1.3: 1-11.
• Week 2
  • 1/22: 2.1 Linear equations. Suggested problems in 2.1: 2-10, 16-24, 30-36 all even.
  • 1/24: 2.1 worksheet (solutions). WeBWorK 1 due today.
  • 1/26: 2.2 Separable equations. Suggested problems in 2.2: 2-12, 18-22 all even.
• Week 3
  • 1/29: 4.1,2,3 Growth and decay, cooling and mixing, elementary mechanics through a worksheet (solutions).
    • Suggested problems in 4.1: 2, 4, 12, 14, 16
    • Suggested problems in 4.2: 2-10 even
    • Suggested problems in 4.3: 2, 4, 6, 10
  • 1/31: 4.4 Autonomous second order equations. WeBWorK 2 due today.
  • 2/2: 4.4 continued. Suggested problems in 4.4: 2-8 even (convert to the phase plane equivalent and solve for v if possible).
• Week 4
  • 2/5: 2.4 Transformations of nonlinear equations into separable equations.
  • 2/6 Tuesday. WeBWorK 3 due at noon.
  • 2/7: Exam 1 covering chapter 1, sections 1-3 of chapter 2, and topics in sections 1-4 of chapter 4 (exponential and logistic population growth, Newton's law of cooling, terminal velocity, and autonomous second order equations for springs and pendulums).
  • 2/9: 3.1,2 Euler's method. Suggested problems in 3.1: 2, 4, 6.
• Week 5
  • 2/12: 5.1 Homogeneous linear equations. Suggested problems in 5.1: 2-8 even, 24. Ambitious students may also want to try problem 9 and any of 10-23.
  • 2/14: 5.1,2 Constant coefficient homogeneous linear equations.
  • 2/16: 5.2. Suggested problems in 5.2: 1-20 even. Ambitious students may also want to try problem 22 and any of 23-28.
• Week 6
  • 2/21: 6.1 Spring problems I (no external forces). Suggested problems in 6.1: 2-10 even. WeBWorK 4 due at 11:59 PM today.
  • 2/23: 6.2 Spring problems II (no external forces). Suggested problems in 6.2: 2-16 even.
• Week 7
  • 2/26: 5.3,4 Nonhomogeneous, second-order, linear differential equations. A worksheet.
    • Suggested problems in 5.3: 2-8, 16-22 all even.
    • Suggested problems in 5.4: 2-26 even.
    • Suggested problems in 5.5: 2, 4.
  • 2/28: 5.4,5 and 6.1 Spring problems with external forces. WeBWorK 5 due at 11:59 PM today.
  • 3/2: 7.1 Review of power series. Suggested problems in 7.1: 1, 2, 3.
• Week 8
  • 3/5: 7.2 Series solutions near an ordinary point I. Suggested problems in 7.2: 2, 4, 12, 16, 22-26 even.
  • 3/7: 7.3 Series solutions near an ordinary point II. Suggested problems in 7.3: 2-10 even. WeBWorK 6 due at 11:59 PM today.
  • 3/9: Exam 2 (covering everything since Exam 1). The front page of the exam.
• Spring Break
• Week 9
  • 3/19: 8.1 Laplace transforms. Suggested problems in 8.1: 1, 2, 3, 5, 9.
  • 3/21: 8.2 The inverse Laplace transform. Suggested problems in 8.2: 2-8 even (enough of each to feel comfortable).
  • 3/23: 8.3 Solution of IVPs. Suggested problems in 8.3: 2-36 even.
• Week 10
  • 3/26: 8.4 The unit step function (aka the Heaviside function). Suggested problems in 8.4: 2-14, 20-24 even.
  • 3/28: 8.5 Constant coefficient equations with piecewise continuous forcing functions. WeBWorK 7 due at 11:59 PM today.
• Week 11
  • 4/4: Worksheet (solutions). Suggested problems in 8.5: 2-20 even.
  • 4/6: 8.6 Convolutions. Suggested problems in 8.6: 2, 4, 8.
• Week 12
  • 4/9: 8.7 Constant coefficient equations with impulses. WeBWorK 8 due at 11:59 PM today.
  • 4/11: 8.7. Suggested problems in 8.7: 2-28 even.
  • 4/13: Review/recap of Laplace transforms. Practice WeBWorK (not required).
• Week 13
  • 4/15 Sunday: Review session 4:00-5:00 in Herak 237 (tentative). WeBWorK 9 due at 8:00 PM today.
  • 4/16: Exam 3. The current draft of the front page of exam 3 (additional theorems to be added). Chapter 8.
  • 4/18: 10.1 and introduction to linear algebra. See Paul's notes (recommended) or chapter 6 of these lecture notes.
  • 4/20: Linear algebra.
• Week 14
  • 4/23: 10.2 Introduction to systems of differential equations. Suggested problems in 10.2: 2, 4, 8.
  • 4/25: 10.3,4 Homogeneous Linear systems. A summary of theorems. Suggested problems in 10.3: 8, 10, 12.
  • 4/27: 10.4 Homogeneous linear systems project (no class). WeBWorK 10 due at 11:59 PM today. Suggested problems in 10.4: 2-8, 16-20, 30-40 evens.
• Week 15
  • 4/30: 10.6 Constant coefficient homogeneous linear systems. Suggested problems in 10.5: 2-8, 14-18, 24, 36-44 evens.
  • 5/2: Constant coefficient homogeneous linear systems. Suggested problems in 10.6: 2-6, 18-22, 34-40 evens.
  • 5/4: Review/recap. WeBWorK 11 due at 11:59 PM today.
• Finals week
  • Office hours: 1-2:30 Monday, 3:30-5 Tuesday, 10-11 Wednesday.
  • Practice WeBWorK (not comprehensive; old exams are a better guide).
  • Front pages of the final exam (draft).
  • Tuesday: 1-3 Final exam for the 10:00 section.
  • Wednesday: 8-10 Final exam for the 9:00 section.
  • Final exam schedule

Resources

• Syllabus
• Textbook
• dfield and pplane
• Academic calendar
• WolframAlpha
• ODEs at Khan Academy

Office hours

• Monday 1:30-2:30
• Tuesday 10:00-11:00 in the Math Lab
• Wednesday 1:30-2:30
• Thursday 10:00-11:00
• or by appointment

Logan Axon
Department of Mathematics
MSC 2615
Gonzaga University
Spokane, WA 99258
Office: Herak 307A
Phone: 509.313.3897
Email: axon@gonzaga.edu

Last updated 5/7/18