MAP 2302/5590 Elementary Differential Equations

Instructor

Prof. Peter Sin

Time and Location

MTWF Per. 3, Little 205.

Office Hours:

M4 W5 F4 Little 432, and by appointment.

Description and Goals

Differential equations arise as mathematical models of physical phenomena. Students will learn how differential equations are derived from physical assumptions. They will also study the algebraic and analytical methods for solving a few types of important differential equation where an exact solution is possible, and gain a qualitative understanding of the solutions of equations that cannot be solved exactly.

Textbook

Fundamentals of Differential Equations, by Nagel, Saff and Snider (6th ed.)

Course Calendar

MAP2302calendar.pdf

Sample exams

Homework

The list of homework problems appears below. You should try to solve all of the assigned problems.

  • Chapter 1:
    • Sect. 1.1: 1-17.
    • Sect. 1.2: 1,2,3,5,9,13,15,19,21,22,25,26,31
    • Sect. 1.3: 1,2,7,11,13
    • Sect. 1.4: 1,2,5,7,12.
  • Chapter 2:
    • Sect. 2.2: 1,5,7,8,13,19,21,22,23,29,34.
    • Sect. 2.3: 1,3,5,7,10,15,17,18,21,23,28,31.
    • Sect. 2.4: 1,7,10,11,15,17,22,23,25,27
    • Sect. 2.5: 1,3,5,7,9,11,13.
  • Chapter 4:
    • Sect. 4.1: 7,9
    • Sect. 4.2: 1,3,5,13,15,17,21,23,35,42,44,46.
    • Sect. 4.3: 1,3,5,9,11,13,15,21,23,25
    • Sect. 4.4: 1,3,4,6,8,9,11,13,15,21,25
    • Sect. 4.5: 1,3,5,79,11,14,18,19,25,29,35,38,41,43
    • Sect. 4.6: 1,3,5,10,11,13,20.
    • Sect. 4.7: 1,2,3,5,11,15,30.
    • Sect. 4.8: 1,5,7,11
    • Sect. 4.9: 3,9,11
    • Sect. 4.10: 5,11.
  • Chapter 7:
    • Sect. 7.2: 1,3,5,7,11,13,15,19,21,23,25,27,29
    • Sect. 7.3: 1,3,5,7,9,11,13,15,17,19,21,23,25,29,31,36
    • Sect. 7.4: 1,3,5,7,11,13,15,17,21,23,25,27,29
    • Sect. 7.5: 1,3,5,7,9,11,13,15,17,25,35,37
    • Sect. 7.6: 1,3,5,7,9,11,13,15,17,21,23,25,27,29,31,33,35,37,39
    • Sect. 7.7: 1,3,5,7,9,11,13,23,25,27,31
    • Sect. 7.8: 1,3,5,7,9,11,13,15,17,19,21,23,25,27
  • Chapter 8:
    • Sect. 8.2: 27, 28
    • Sect. 8.3: 1, 3, 7, 11, 13, 15, 19, 21, 27

Exams and Grading Policy

There will be three class exams (worth 25 points each) and a final (25 points). The dates and times appear in the course calendar. All exams, including the final, will take place in the usual classroom Little 205.
The final exam is on Thursday, December 18th, 10 a.m.–12 p.m..
No make-up exams will be given except for documented special reasons, such as medical emergencies. Exams can be rearranged for student athletes only if I am notified at least three weeks in advance. It is the responsibility of each student to make sure that he or she is available to take every exam or, in the allowable cases, to inform me as soon as possible so that alternative arrangements can be made.

If you think that a score has been computed incorrectly, please bring the matter to my attention within one day of your work being returned.

If you think that your work has been graded incorrectly, please submit an appeal in writing within seven days of your work being returned, explaining your reasons in detail. Appeals may result in a higher, unchanged, or lower score, depending on the merit of the appeal. Decisions on appeals are final. The final exam cannot be appealed.

Grading Scale

Grades: A=90-100, A-=87-89, B+=83-86, B=78-82, B-=75-77, C+=70-74, C=65-69, C-=60-64, D=50-59, E=0-49

The UF regulations on grades are here: https://catalog.ufl.edu/ugrad/current/regulations/info/grades.aspx

The UF policy on minus grades is here: https://catalog.ufl.edu/UGRD/academic-regulations/grades-grading-policies/#:~:text=No%20grades%20will%20be%20calculated,credit%20is%20awarded%20only%20once.&text=Colleges%20may%20not%20accept%20grade,credit%20in%20the%20same%20field..

 

Attendance and Late Policy

Attendance is mandatory, except for absences allowed by UF policies. Each unexcused absence (after you are registered) carries a penalty of 1 point, subtracted from your score after the total (out of 100) has been computed.

The UF policy on attendance is here: https://catalog.ufl.edu/ugrad/current/regulations/info/attendance.aspx

Special accommodations

Students requesting classroom accommodation must first register with the Dean of Student Office. The Dean of Students Office will provide documentation to the student who must then provide this documentation to the instructor when requesting accommodation.

Honor Code

UF students are bound by The Honor Pledge which states, “We, the members of the University of Florida community, pledge to hold ourselves and our peers to the highest standards of honor and integrity by abiding by the Honor Code.
On all work submitted for credit by students at the University of Florida, the following pledge is either
required or implied: “On my honor, I have neither given nor received unauthorized aid in doing this
assignment.”

The Honor Code (http://www.dso.ufl.edu/sccr/process/student-conduct-honor-code/)
specifies a number of behaviors that are in violation of this code and the possible sanctions.
Furthermore, you are obliged to report any condition that facilitates academic misconduct to appropriate
personnel. If you have any questions or concerns, please consult with the instructor of this class.

Course Evaluations

Students are expected to provide feedback on the quality of instruction in this course based on 10 criteria. These evaluations are conducted online at https://evaluations.ufl.edu. Evaluations are typically open during the last two or three weeks of the semester, but students will be given specific times when they are open. Summary results of these assessments are available to students at https://evaluations.ufl.edu/results/.