Differential Equations Course

Welcome to the Differential Equations Course webpage. This course is designed to provide an introduction to the theory and applications of differential equations.

Course Information

Homework Assignments

Homework Submission

Submit written homework in gradescope. Written homework will be graded on both the correctness of your solutions and the completeness, correctness, and clarity of your work and explanations. Explaining your work both demonstrates your understanding and helps your learning. Try to write so that another student in the class, who does not understand the material as well as you do and has not yet thought about this homework problem, would be easily able to understand your reasoning.

Class Acitvity Submission

Upload the week class activity as pdf or jpg file in the 'Assignment' section of Canvas.

Visualizations

Grade

Notes

Schedule

Problem Set	Due Date	Solution
TBD	April 9, 5pm

Week 1:

- introduction (1.1,1.2)

- classification (1.3)

- direction fields

- linear first order equations (2.1)

- integration factors (2.1)

Week 2:

- linear vs. non-linear ODEs (2.4)

- model building (2.3)

- separable equations (2.2)

- autonomous equations and population dynamics (2.5)

- Assignments: HW1 due

Week 3:

- second order constant coefficients equations; Wronskian (3.1,3.2)

- characteristic equation and complex roots (3.3)

- repeated roots and order reductions (3.4)

- Assignments: HW2 Due

Week 4:

- method of undetermined coefficients and VoP (3.5,3.6)

- review of matrices (7.1,7.2)

- vibrations (3.7)

- Midterm 1, TBD

- Assignments: HW3 due

Week 5:

- systems of ODEs, existence uniqueness and solutions of of systems (7.3,7.4)

- constant coefficients (7.5,7.6)

- Assignments: HW4 due

Week 6:

- fundamental matrices (7.7)

- repeated eigenvalues (7.8)

- phase place (9.1)

- Assignments: , HW5 Due

Week 7:

- non homogenous linear systems (7.9)

- autonomous systems and stability (9.2)

- Midterm 2, TBD

- Assignments: HW6 Due

Week 8:

- competing species predator prey (9.4,9.5)

- Laplace transform and IVP (6.1,6.2)

- Assignments: HW8 Due

Final Exam, TBD

Accessibility Needs

Students with disabilities who may need disability-related academic adjustments and services for this course are encouraged to see me privately as early in the term as possible. Students requiring disability- related academic adjustments and services must consult the Student Accessibility Services office (Carson Hall, Suite 125, 646-9900). Once SAS has authorized services, students must show the originally signed SAS Services and Consent Form and/or a letter on SAS letterhead to me. As a first step, if students have questions about whether they qualify to receive academic adjustments and services, they should contact the SAS office. All inquiries and discussions will remain confidential.