MATH 3705 - Differential Equations
Fall 2026 Syllabus, Section 02, CRN 43312,
Credit hours: 3
Course Meeting Times
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Instructor
Thomas Smotzer
Email: tsmotzer@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 |
|---|---|---|---|
| Elementary Differential Equations with Boundary Value Problems | Trench |
The e-book and homework are in Blackboard
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 | 1.1-1.3 | Introduction | |
| 8/31 | 2.1-2.3 | First Order Differential Equations | |
| 9/7 | 2.4, 4.1 | Linear Second Order Equations | |
| 9/14 | 4.2, 4.3, 4.4 | Linear Second Order Equations | |
| 9/21 | 4.5, 4.6 | Linear Second Order Equations | |
| 9/28 | 6.1, 6.2 | Higher Order Differential Equations | |
| 10/5 | 6.3, 6.4 | Higher Order Differential Equations | |
| 10/12 | 7.2, 7.3 | Laplace Transforms | |
| 10/19 | 7.4, 7.5 | Laplace Transforms | |
| 10/26 | 7.6, 9.1 | Laplace Transforms | |
| 11/2 | 9.2, 9.3 | Matrix Methods for Linear Systems | |
| 11/9 | 9.4, 9.5 | Matrix Methods for Linear Systems | |
| 11/16 | 9.6, 9.7 | Matrix Methods for Linear Systems | |
| 11/23 | 10.2 | Partial Differential Equations | |
| 11/30 | review | Review | |
| 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.