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Department of Mathematics College of Liberal Arts and Sciences

MAP2302 (Fall 2014)

Time and Location

M W F Period 6 in Little Hall Room 205 and M W F Period 7 in Little Hall Room 127

Office Hours: T W F in Little Hall Room 439 Period 4

Textbook

Fundamentals of Differential Equations and Boundary Problems, Sixth Ed. by R. Kent Nagle, Edward B. Saff, and David Snider.

Description and Goals

We will cover material from the first eight chapters of the textbook with some exclusions.  A brief (and not necessarily comprehensive) list follows.

Introduction to Ordinary Differential Equations (ODEs), Solution techniques for First Order ODEs and higher order linear ODEs, Numerical approximation of solutions, ODEs as mathematical models, Laplace transforms, Power series solutions for ODEs

Homework

Suggested homework exercises will be given after covering each major topic and prior to each exam.  Answers will not be collected, but the problems will be representative of exam material.  Assignments will be repeated in this space when they are given in class.  Starred problems are more difficult and are less likely to appear on an exam, but mastery of them indicates a good grasp of the material.

1.1)  7, 9, 14, 17

1.2) 1ab, 3, 5, 11, 17, 21

1.3) 1abc, 3abc, 7abcde

2.2) 1,3,7,9,17,19,25

2.3) 1-21 odd

2.4) 1,3,5,7,9,11,19,21,23,27

2.5) 1,3,5,9,11,13,15*

Exam I extra exercises:

Ch 2 Review) 1,3,5,7,9,13,19,31,35,39; Sample Exam 1 (Solutions).  Keep me updated on any errors or places where the solutions are not understandable.

2.6) All of the odds.  At least work a few with and without initial conditions.

4.1) 2,3

4.2) 1-19 odd, 27,29,31

4.3) 1-17 odd, 21,23

4.4) 1-7 odd, 9,11,15,19,25

4.5) 1abc,3,5,9,11-21 odd, 23,25,29, 31,33

4.6) 1,3,5,9,11,15

Sample Exam 2 (Solutions) Corrections were made to the solutions on 10/14 at 1 PM.

4.7) 1,5,9,11,13,19,21,25,31,35,37,45,47

4.8) 3,5,11,12,15

4.9) 1,3,7,9,15

Higher Order Constant Coefficient Equations: 4.2) 37,39 ; 4.3) 29abc ; 4.4) 33,35

5.2) 1,3,519,21,31

7.2) 1,3,11, 13,15,19, 21, 23, 25, 27, 29(all but e),

7.3) 1,3,5,7,9,13,17,25,27,

7.4) 1,3,5,7,9,21,23,25,27,29,

Sample Exam 3 (Solutions) (Corrected 11/13 at 8:30 PM)

7.5) 1,3,5,7,9,15,17,19,29,33

7.6) 1,3,5,7,11,17,21,23,25,27,29,33,35,51,59

7.7) 1,3,5,7,9,11,23,25,

7.8) 1,3,7,9,11,13,15,21,23,29

Exam 3 Bonus) Do one of the chapter 4 group projects found on pages 235-241 in the text book in groups of size at most 4.  This will earn back at most 10 points on exam 3.

Sample Exam 4 (Formula Sheet) (Solutions)

Final Exam Review Guide.

Quizzes

Occasionally there will be unannounced quizzes which will consist of a single, simple problem from recently covered material.  Quizzes count for a very small portion (6%) of the overall grade, but poor quiz scores should be taken as a sign to get assistance during office hours.  There is no makeup opportunity if quizzes are missed, but the lowest two scores will be omitted.

Final Grades

We will have four exams, which each contribute 16% to the final grade (64% total) and a final exam which counts for 30% of the final grade.  Quizzes are the final 6%.

Exam Schedule (Tentative)

The four regular exams will occur during normal class times.

Exam I: Monday, Septemper 15 (fixed) (Solutions)

Exam II: Wednesday, October 15 (fixed) (Solutions)

Exam III: Friday, November 14 (fixed) (Solutions)

Exam IV: Wednesday, December 10 (fixed) (Solutions)

Final Exam:

  • Review: Friday, December 12, 12:50 PM – 2:45 PM in LIT 205
  • Period 6: Friday, December 19, 10:00 AM – 12:00 PM in LIT 205
  • Period 7: Thursday, December 18, 7:30 AM – 9:30 AM in LIT 127

Email me if there are exam scheduling conflicts.

Grading Scale

A: 90-100, A-:87-89, B+:86-84, B:80-83, B-:77-79, C+:74-76, C:70-73, C-67-69, D+: 64-67, D:60-63

Course Policies

  • Calculators or other electronic devices are prohibited during in class quizzes or exams.
  • While attendance is not mandatory, there are absolutely no exam makeups without verifiable documentation.  There are no quiz makeups at all.
  • If you are requesting disability assistance, you must first register with the Dean of Students office (https://www.dso.ufl.edu/drc).  They will provide you the proper documentation to present to me.