UA Campus Directory:
Office Hours: MWF 10:00-11:00, W 4:00-5:00, F 2:00-3:00
UA Course Catalog Prerequisites:
C- or higher in MATH 126 or C- or higher in MATH 146
Course Description and Credit Hours
Introduction to analytic and numerical methods for solving differential equations. Topics include numerical methods and qualitative behavior of first order equations, analytic techniques for separable and linear equations, applications to population models and motion problems; techniques for solving higher order linear differential equations with constant coefficients (including undetermined coefficients, reduction of order, and variation of parameters), applications to physical models; the Laplace transform (including intial value problems with discontinuous forcing functions). Use of mathematics software is an integral part of the course. Computing proficiency is required for a passing grade in this course.
Required Texts from UA Supply Store:
- NAGLE / FUNDAMENTALS OF DIFFERENTIAL EQUATIONS AND BOUNDARY VALUE (Required)
- NAGEL (LOOSE-LEAF) / FUNDAMENTALS OF DIFFERENTIAL EQUATIONS AND BOUNDARY VP (Choose One)
- NAGLE(VP) / FUNDAMENTALS OF DIFF EQUATIONS & BOUNDARY VALUE PROB (Choose One)
- NAGLE, R KENT / FUNDAMENTALS OF DIFFERENTIAL EQUATIONS AND BOUNDARY VALUE PROBLEMS (Choose One)
Students will learn how to solve first order differential equations, second order initial value problems and model physical phenomena with differential equations.
Student Learning Outcomes
Students will use analytical methods to solve linear ordinary differential equations.
Students will classify an ordinary differential equation in terms of its degree, linear or nonlinear, homogeneous non-homogeneous and pick the technique most likely to solve it.
Students will model simple physical and biological phenomena.
Students will use basic numerical techniques to solve linear initial value problems.
Students will use MATLAB to solve initial value problems, and study the qualitative and quantitative properties of differential equations.
Other Course Materials
Outline of Topics
Chapter 1. Introduction [Sections 1.1-1.4]
Chapter 2. First Order Differential Equations [Sections 2.1-2.3]
Chapter 3. Mathematical Models [Sections 3.1-3.2]
Chapter 4. Linear Second Order Equations [Sections 4.1-4.6, 4.9]
Chapter 5. Introduction to Systems [Sections 5.1, 5.2 (2 by 2 systems only)]
Chapter 7. Laplace Transforms [Sections 7.1-7.7, (if time permits, 7.8, 7.9)]
Exams and Assignments
Homework: Homework will be assigned after each section. You have to complete the homework using WeBWorK. The Mathematics Department created students’ accounts for each student currently enrolled. You have to do all the assignments on time - this is a very important way to learn the material. Most of the Practice Test and test questions will be minor variations of the assigned homework problems and the problems done in class. Homeworks are usually due weekly 11:59 pm on Tuesday.
Group Projects: There will be two computer-based (MATLAB) assignments done by yourself or in groups. Your assignments should be done independently and not copied from others. MATLAB is available at Gordon Palmer 152, Rodgers library, Gorgas library, McLure Education library and Hoole Special Collections library.
Exams: There will be three in-class exams during the semester and a comprehensive fnal exam. In-class exams and the final will be closed book and will be based on the material covered in class.
Exam 1: Wednesday 02/07 (Chapters 1-3).
Exam 2: Wednesday 03/07 (Chapter 4).
Exam 3: Wednesday 04/11 (Chapter 5 and the first half of Chapter 7).
Final: 8:00-10:30 am on Friday, May 04 (cumulative).
Matlab Projects: 10%
3 in class exams: 45% (15% each)
Comprehensive final exam: 35%
Policy on Missed Exams and Coursework
There will be no extensions of the deadline for homework, unless there are documented legitimated reasons.
A makeup exam may be given in the following cases subject to verification: a medical emergency, a University-sponsored event, a religious event, or a family emergency. A makeup exam should be scheduled at least one week in advance, unless it is due to emergency situations. You must present the documentation either before the exam or as soon as you return to class.
Class attendance is required. Class participation is strongly encouraged. Students are solely responsible for any work missed during an absence.
Notification of Changes
The instructor will make every effort to follow the guidelines of this syllabus as listed; however, the instructor reserves the right to amend this document as the need arises. In such instances, the instructor will notify students in class and/or via email and will endeavor to provide reasonable time for students to adjust to any changes.
Statement on Academic Misconduct
Students are expected to be familiar with and adhere to the official Academic Misconduct Policy provided in the Online Catalog.
Statement On Disability Accommodations
Contact the Office of Disability Services (ODS) as detailed in the Online Catalog.
Severe Weather Protocol
Please see the latest Severe Weather Guidelines in the Online Catalog.
Pregnant Student Accommodations
Title IX protects against discrimination related to pregnancy or parental status. If you are pregnant and will need accommodations for this class, please review the University’s FAQs on the UAct website.
Under the Guidelines for Religious Holiday Observances, students should notify the instructor in writing or via email during the first two weeks of the semester of their intention to be absent from class for religious observance. The instructor will work to provide reasonable opportunity to complete academic responsibilities as long as that does not interfere with the academic integrity of the course. See full guidelines at Religious Holiday Observances Guidelines.
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