UA Campus Directory:
Office Hours: Monday and Wednesday 1:30-3:30, Thursday 2:00-3:00, and by appointment.
UA Course Catalog Prerequisites:
MATH 343 and MATH 486 or MATH 586.
Course Description and Credit Hours
Emphasis on boundary value problems for classical partial differential equations of physical sciences and engineering. Other topics include Fourier series, Fourier transforms, asymptotic analysis of integrals and boundary-value problems for ordinary differential equations.
Required Texts from UA Supply Store:
- LOGAN / APPLIED PARTIAL DIFFERENTIAL EQUATIONS (Choose One)
- LOGAN (RENTAL) / (RENTAL) APPLIED PARTIAL DIFFERENTIAL EQUATIONS (RENTAL)
- LOGAN (EBOOK) / APPLIED PARTIAL DIFFERENTIAL EQUATIONS (Choose One)
Student Learning Outcomes
Students will lean analytical methods for solving boundary value problems.
Students will learn how to classify linear partial differential equations and learn their distinguishing qualitative properties.
Students will learn the use of physical principles to derive some common partial differential equations that are prominent in the physical science.
Students will be introduced to the theory of Fourier series and the method of eigenfunctions expansion.
Students will be introduced to the Sturm-Liouville theory.
Other Course Materials
Outline of Topics
The physical origins and classification of partial differential equations; Fourier series, orthogonal expansions; Separation of variables; Applications.
[Chapter 1] Sections 1.1-1.3, 1.5, 1.7-1.9
[Chapter 3] Sections 3.1-3.3
[Chapter 4] Sections 4.1-4.8
Exams and Assignments
Exam 1: Monday October 2, in class.
Exam 2: Monday November 6, in class.
Cumulative Final: Tuesday December 12, 8:00-10:30.
Homework will be assigned weekly and will be due on Wednesday in class.
Exams 40% (20% each);
Policy on Missed Exams and Coursework
No late homework will be accepted, unless there is a documented legitimate reason.
There will be no makeup for the midterm exams or the final, unless there is a documented legitimate reason. The only allowed excuses for a makeup are
university sponsored events
a religious holiday
a family emergency
Unless there is a true emergency, makeup exams should be arranged at least two weeks before the exam date.
Attendance is required. It is the students' responsibility to attend every class and actively participate in class activities.
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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