MAP 2302: Elementary Differential Equations
Time, Location, and Section Number
MWF PERIOD 4, LITTLE 125, section 022G
Office Hours (in Little 478)
Monday period 6, Wednesday period 7, and Friday period 6
Description and Goals
The first main goal of the course is to gain an understanding of some basic mathematical concepts relating to differential equations, Laplace Transforms, and power series. The second main goal of the course is to be able to apply various techniques for solving differential equations.
The first part of the course starts with an introduction to the concept of differential equations and existence and uniqueness theorems for initial value problems. We covers first order methods, including separability, exactness, integrating factors, first order linear equations, and Bernoulli’s equations. We include applications dealing with mechanics.
The second part of the course deals with second order methods for constant coefficient linear equations including particular solutions and general solutions by the method of undetermined coefficients. We also discuss linear independence and the Wronskian. Applications include vibrating springs, and resonance.
The third part of the course covers Laplace transform methods, including properties of the Laplace transform, solution of initial value problems, and applications.
The final part of the course deals with power series solutions of differential equations.
Text: Fundamentals of Differential Equations and Boundary Value Problems (6th edition) by R. Kent Nagle, Edward B. Saff, and Arthur David Snider.
Homework
Assignments, Quizzes, Exams:
The assignments will be added here, as the course progresses. These assignments will not be turned in for a grade. Students are expected to do the assignments as part of the preparation for quizzes and exams. Quiz and exam dates will also be added here.
- Section 1.2, Page 13 – 14, # 3, 5, 7, 9, 11, 23, 25, 27.
- Section 2.2, Page 43, # 1 – 25, odd. In # 17 – 25 do each of the following: (1) Find an explicit solution. (2) Check the solution. (3) Determine whether or not the existence and uniqueness theorem guarantees a unique solution.
- Quiz 1 will be given on Friday, January 17, based on problems from Sections 1.2 and 2.1 above.
Grades
Grades will be based on four exams and four quizzes. The quizzes will be worth 10 points each. The exams will be worth 40 points each. So there are 200 possible points. All of the exams and quizzes will be given during the regular class period. In addition, an optional final exam will be given during the final exam period, which is Friday, May 2, from 7:30AM to 9:30AM. Students who take the optional final exam could receive a higher or lower course grade (compared to the grade they would receive if they did not take the optional final exam), depending on the final exam score.
Grading Scale
A: 180-200 A-: 175-179 B+: 170-174 B: 160-169 B-: 155-159
C+: 150-154 C: 140-149 C-: 135-139 D+: 130-134 D: 120-129
Course Policies
- Closed-book policy: No use of calculators, or books will be allowed during any in-class tests/quizzes.
- Policy related to make-up exams: Written medical documentation is required for makeup exams.
- Policy on class attendance: Daily attendance is required as consistent with university policies that can be found in the online catalog at: https://catalog.ufl.edu/ugrad/current/regulations/info/attendance.aspx.
- University’s honesty policy: 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 obligated to report any condition that facilitates academic misconduct to appropriate personnel. If you have any questions or concerns, please consult with the instructor.
- For students with disabilities: Students requesting classroom accommodation must first register with the Dean of Students Office. The Dean of Students Office will provide documentation to the student who must then provide this documentation to the Instructor when requesting accommodation.
- Students’ evaluations of the course: 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.