View larger. Appropriate for an elementary or advanced undergraduate first course of varying lengths. Also appropriate for beginning graduate students. Its in-depth elementary presentation is intended primarily for students in science, engineering, and applied mathematics. Emphasizing the physical interpretation of mathematical solutions, this book introduces applied mathematics while presenting partial differential equations.
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Syllabus Course Schedule Homework Announcements. This course is an introduction to the theory of linear partial differential equations, with an emphasis on solution techniques and understanding the properties of the solutions thus obtained. Specific types of solution techniques that the student will acquire include separation of variables, Fourier methods, Green's functions, and the method of characteristics.
Classification of PDEs and differences between properties of solutions of PDEs in various classes will also be an important theme in the course. Prerequisites: Math Differential Equations or equivalent. Please note that we will use the fifth edition.
The fourth edition is also acceptable, but be aware that homework assignments will be made from the fifth edition.
We will try to catch any changes in the assigned homework problems. For supplementary and additional reading I recommend the following non-required textbooks: Solution Techniques for Elementary Partial Differential Equations , by C. Partial Differential Equations , by W. Shearer and R. Levy The textbook by C. Constanda has a strong problem-solving orientation i.
Exams: There will be two midterm exams and a final exam: 1st midterm exam: Friday, October 4 2nd midterm exam: Friday, November 8 Final exam: Monday, December 9, am - pm in JCAIN Makeup exams are generally allowed only for university-excused absences. See "Attendance" below. If you feel that your situation warrants a makeup exam, please check with me as soon as possible to request one. Further documentation of your absence may be required.
Grades for assignments and exams will be posted on eCampus. Please check your recorded grades regularly to monitor your progress in the course and to ensure accuracy of recorded grades. Honors Section : Students enrolled in Section Honors will be assigned extra homework that will require exploring covered topics in greater depth. These extra assignments will be graded and incorporated into the homework scores of students in Section A major goal of an honors class is to provide occasionally some advanced and interesting material that will not be on tests.
This will roughly happen one day every three weeks. I may also ask honors students for occasional out-of-class meetings for additional advanced discussion. Homework: Homework assignments and due dates will be posted in the homework section below, usually sometime on Friday. Unless otherwise noted, please hand in your homeworks in class on the due date. Late homework will not be accepted except in cases of excused absences see "Attendance" below. However, your lowest homework score will be dropped from the final grade calculation.
In order to master the material of the course, it is key that you do your homework. You should make every effort to solve the assigned problems using the concepts learned from the lectures and readings. You will be graded mostly on your ability to work problems on exams. If you have not practiced the techniques within the homework problems, you will have serious difficulties to work problems on exams.
You are strongly encouraged to do your homework in groups. However, you must write up your solutions on your own. Copying is not acceptable. Please staple your homework and write your name at the top. Write legibly. Your solutions to the assigned problems should be detailed enough so that the reader can follow your thought process.
Attendance and Make-up Policy: You are responsible for lecture notes, any course material handed out, and announcements made in class. I will not formally record your attendance, but by attending lectures you will get a sense of what I consider important and that should help you know what to focus on when you study for the exams.
Makeup exams are generally allowed only for university-excused absences. Among the reasons absences are considered excused by the university are illness, illness or death of a family member, participation in university-authorized activities, and major religious holidays.
Students asking for makeup exams or extensions of written homework due dates should let me know of any conflicts at least one week beforehand in the case of prescheduled absences and as soon as possible but in no case more than two working days after the absence in cases where the absence is not foreseeable. Among other things, this legislation requires that all students with disabilities be guaranteed a learning environment that provides for reasonable accommodation of their disabilities.
If you believe you have a disability requiring an accommodation, please contact Disability Services, currently located in the Disability Services building at the Student Services at White Creek complex on west campus or call Academic Integrity and Policy: The Aggie honor code states: "An Aggie does not lie, cheat or steal, or tolerate those who do.
Examples of cheating on exams include copying from or communicating with another student, bringing any kind of notes into the exam, and using any type of electronic aid, unless expressly permitted. You are encouraged to work together on homework, but you are required to write up and submit your own solutions to all assignments.
University policies and federal and state laws provide guidance for achieving such an environment. Although class materials are generally considered confidential pursuant to student record policies and laws, University employees - including instructors - cannot maintain confidentiality when it conflicts with their responsibility to report certain issues that jeopardize the health and safety of our community. These reports may trigger contact from a campus official who will want to talk with you about the incident that you have shared.
In many cases, it will be your decision whether or not you wish to speak with that individual. Below is a tentative schedule for the topics to be covered and assignment due dates. Apart from the midterm exam dates and academic holidays, the other items in the schedule should be considered tentative until the day has passed.
It is necessary to keep some flexibility in the schedule to account for adjustments in the pace of lectures. The schedule will be updated as we go with lecture notes. The lecture notes are meant to supplement your own note taking in class and your reading of the textbook. Aug 26, 28, Sep 02, 04, Method of separation of variables Sep 02 Sep 04 Sep HW1 on Sep Sep 09, 11, HW2 on Sep Sep 16, 18, Fourier series Sep 16 Sep 18 Sep HW3 on Sep Sep 23, 25, HW4 on Sep Sep 30, Oct 02, Oct 07, 09, HW5 on Oct Oct 14, 16, HW6 on Oct Oct 21, 23, Fourier transform and infinite domain problems Oct 21 Oct 23 Oct HW7 on Oct Oct 28, 30 Nov HW8 on Nov Nov 04, 06, Nov 11, 13, HW9 on Nov Nov 18, 20, Method of characteristics for wave equations Nov 18 Nov 20 Nov HW10 on Dec Nov Method of characteristics for wave equations Nov Dec 02, Final Exam Review.
We will discuss the mathematical and physical background of the problems in an extra meeting in my office Blocker B on Wednesday, November 20, at 4 pm. It counts as the honors problem for both HW9 and HW Mon, Nov Here is a study guide for the final exam and here are the solutions to the practice problems for the Final Exam.
Mon, Nov As part of your preparations for the final exam I also strongly recommend to redo the midterm exams: First midterm exam and Second midterm exam. Here are the solutions to our first midterm exam and the solutions to our second midterm exam. Mon, Nov I will offer an extra office hour on Thursday, December 5th, from 6 pm to 8 pm.
Tue, Nov Here are the solutions to our second midterm exam. Tue, Oct Here is a study guide for our second midterm exam and here are the solutions to the practice problems for Midterm II.
Tue, Oct I will hold an extra office hour from 6 pm to 7. Sun, Oct Here are the solutions to our first midterm exam. Wed, Sep Here are the solutions to the practice problems for Midterm I.
Elementary applied partial differential equations: With Fourier series and boundary value problems
Applied Partial Differential Equations, 4th Edition