MATH 3705 - Differential Equations
Fall 2026 Syllabus, Section 01, CRN 40506,
Credit hours: 3
Course Meeting Times
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Instructor
Padraic Taylor
Email: pwtaylor@ysu.edu
Course Description
3705. Differential Equations. Methods and theory of solving differential equations with applications. Existence, uniqueness. First order equations. Higher order linear equations. Introduction to partial differential equations and boundary value problems, including Laplace's equation. Prereq.: C or better in one of MATH 2673, MATH 2673H, or MATH 2686H. 3 s.h.
Course Readings
| Group | Title | Author | ISBN |
|---|---|---|---|
| Required | MyLab Math with Pearson eText Access Code (18 Weeks) for Fundamentals of Differential Equations and Boundary Value Problems, 7th Edition | r. kent nagle; edward b. saff; arthur david snider | 8220144725962 |
The course readings are subject to change in the event of extenuating circumstances, research developments, current events, and/or to ensure better learning.
Assignments/Assessments
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Schedule of Topics and Assignments
| Week of | Reading(s) | Proposed Topic | Due/To Prepare for Class |
|---|---|---|---|
| 8/24 | 1.1, 1.2 | Background, Solutions and Initial Value Problems | |
| 8/31 | 1.3, 1.4 | Direction Fields and Euler's Method | |
| 9/7 | 2.2, 2.3 | First Order Differential Equations | |
| 9/14 | 2.3, Bernoulli equations, 3.2, 3.3 | First Order Differential Equations and Applications | |
| 9/21 | 4.2, 4.3 | Homogeneous 2nd Order Linear Differential Equaitions | |
| 9/28 | 4.4 | Nonhomogeneous 2nd Order Linear D.E's (undetermined Coeff) | |
| 10/5 | 4.5, 4.7 | Nonhomogeneous 2nd Order Linear D.E's (variation of parameters) and Cauchy Euler Equations | |
| 10/12 | 4.9, 4.10 | Spring Mass Systems | |
| 10/19 | 7.1-7.3 | Intro to Laplace Transforms | |
| 10/26 | 7.4-7.6 | Inverse Laplace Transforms, Initial Value Problems, and Discontinuous Functions | |
| 11/2 | 9.1-9.4 | Linear Algebra Background for Systems of Linear D.E's | |
| 11/9 | 9.5 | Linear Systems of D.E.'s, Eigenvalues, Eigenvectors | |
| 11/16 | 9.6, 9.7 | Linear Systems with complex eigenvalues and Nonhomogeneous Linear Systems | |
| 11/23 | 9.7 | Nonhomogeneous Linear Systems (and Thanksgiving Break!) | |
| 11/30 | Defective Linear Systems | ||
| 12/7 | Finals week |
The course schedule, policies, procedures, and assignments in this course are subject to change in the event of extenuating circumstances, by mutual agreement, and/or to ensure better learning.