Math 2584, Spring 2016

Homework assignments and important dates

Date or date dueAssignment or event
Wednesday, Jan. 20First day of class
Monday, Jan. 25Last day to add a course
HW #1Friday, Jan. 29 Self-checked problems: (these problems need not be turned in)
Section 1.1: 5, 7, 17
Section 1.2: 1, 3, 11, 19, 21
Section 1.3: 9, 11

Instructor-corrected problems: (these problems should be turned in)
Section 1.1: 16
Section 1.2: 24
Section 1.3: 10. Also specify the units in which t and A(t) are to be measured.

Homework is to be turned in in gradable condition. In particular:
  • Please write neatly.
  • Please write your name on your homework on the upper right-hand corner of the first page.
  • Please remove ragged edges due to tearing your homework out of a notebook.
  • If you have multiple pages to your homework, please attach the pages by stapling them in the upper left-hand corner. A paperclip or folding the pages over is not an acceptable substitute.
  • Please do not write in the upper left-hand corner of the pages (or upper right-hand corner, if you use the backs of pages) because I will not be able to see that region once your homework has been stapled.
  • Problems should be listed in the order in which they were assigned.
Monday, Feb. 1Last day to drop a course
HW #2Friday, Feb. 5 Self-checked problems: (these problems need not be turned in)
Section 1.3: 3, 7, 15, 29
Section 2.1: 1, 2, 3

Instructor-corrected problems: (these problems should be turned in)
Section 1.3: 4, 28
Section 2.1: 4. The direction fields for problems 1–4 may be found in this PDF file.
HW #3Friday, Feb. 12 Self-checked problems: (these problems need not be turned in)
Section 2.1: 19, 21, 27
Section 2.2: 1, 5, 9, 31, 33
Section 2.3: 25, 33, 35, 39

Instructor-corrected problems: (these problems should be turned in)
Section 2.1: 24
Section 2.2: 32
Section 2.3: 28
Friday, Feb. 19First midterm exam–good luck! You will be allowed a non-graphing calculator.
HW #4Friday, Feb. 26 Self-checked problems: (these problems need not be turned in)
Section 2.3: 39
Section 2.4: 9, 11, 21, 25, 27, 29, 31
Section 2.5: 23, 25

Instructor-corrected problems: (these problems should be turned in)
Section 2.3: 40
Section 2.4: 26, 32
Section 2.5: 24
HW #5Friday, Mar. 4 Self-checked problems: (these problems need not be turned in)
Section 2.5: 7, 9, 11, 13
Section 3.1: 11, 23, 25, 33
Section 3.2: 5
Section 4.1: 1, 3, 5
Do problem (AB 1) in this file.

Instructor-corrected problems: (these problems should be turned in)
Section 2.5: 14
Section 3.1: 14
Section 3.2: 6
Do problem (AB 2) in this file.
HW #6Friday, Mar. 11 Self-checked problems: (these problems need not be turned in)
Section 4.1: 9, 15, 19, 21
Section 4.3: 1, 5, 7, 13, 19, 29, 49, 53

Instructor-corrected problems: (these problems should be turned in)
Section 4.1: 10
Section 4.3: 12, 32
Tuesday, Mar. 15Office hours canceled
Thursday, Mar. 17Office hours at 3:30 rather than 2
Friday, Mar. 18Second midterm exam–good luck! You will be allowed a non-graphing calculator.
Mar. 21–25Spring break–have fun!
HW #7Friday, Apr. 1 Self-checked problems: (these problems need not be turned in)
Section 4.2: 9, 11, 13, 17, 19
Section 4.6: 1, 3, 9, 15, 17, 23

Instructor-corrected problems: (these problems should be turned in)
Section 4.2: 10, 20
Section 4.6: 4
HW #8Friday, Apr. 8 Self-checked problems: (these problems need not be turned in)
Section 7.1: 1, 3, 5, 13, 15, 17, 19, 23, 27, 31. Find the Laplace transform of t³ using the definition.
Section 7.2: 1, 5, 7, 11, 15, 19, 25, 29, 31, 33, 35, 37, 39

Instructor-corrected problems: (these problems should be turned in)
Section 7.1: 6
Section 7.2: 34, 38
HW #9Friday, Apr. 15 Self-checked problems: (these problems need not be turned in)
Section 7.2: 41
Section 7.3: 3, 7, 11, 13, 15, 19, 21, 25, 27, 29, 39, 41, 43, 45, 47, 49, 51, 53, 55, 57, 59, 63, 65, 69

Instructor-corrected problems: (these problems should be turned in)
Section 7.3: 30, 66, 68
Friday, Apr. 22Last day to withdraw from a course
Friday, Apr. 22Third midterm exam–good luck! You will be allowed a non-graphing calculator.
HW #10Friday, Apr. 29 Self-checked problems: (these problems need not be turned in)
Section 7.4: 1, 3, 7, 31, 33, 35, 36
Section 7.5: 1, 3, 7, 9. Plot the graphs of y (and in problems 3, 7, 9, of dy/dt). Describe the special features you notice. What special features do you expect dy/dt (problem 1) or d²y/dt² (problems 3, 7, 9) to exhibit?
A good way to plot functions is to use Desmos or Wolfram Alpha. Notice that Wolfram Alpha refers to the unit step function as “theta” rather than “u”.

Instructor-corrected problems: (these problems should be turned in)
Section 7.4: 6
Section 7.5: 6. Plot the graphs of y and dy/dt. Describe the special features you notice at t=2π and t=4π. What special features do you expect d²y/dt² to exhibit near t=2π and t=4π?
Wednesday, May 4Last day of class
HW #11Wednesday, May 4 Self-checked problems: (these problems need not be turned in)
Section 8.1: 1, 3, 5, 7, 9
Section 8.2: 1, 5, 9, 17, 19, 21, 32, 33, 37, 47. On Problems 17, 32, and 47, you may use a phase plane plotter to obtain the phase portrait.

Instructor-corrected problems: (these problems should be turned in)
Section 8.1: 4
Section 8.2: 4, 34. Sketch the phase portrait for both problems.
Complete the online course evaluation by Friday, May 6.
Friday, May 13Final exam, 10:15 a.m.–12:15 p.m. Good luck! You will be allowed a non-graphing calculator.

Here are some suggested practice problems. If you would like to review calculus before the final exam, here are some suggested problems.

Useful documents and links

Course Information

LectureMon, Wed, Fri, 12:55--1:45 p.m., SCEN 408
Drill Section D013: Tue, Thu 9:40--10:30 a.m., KIMP 201
Section D014: Tue, Thu 8:00--8:50 a.m., KIMP 310
Section D015: Tue, Thu 2:00-2:50 p.m., KIMP 306
InstructorAriel Barton
Emailaeb019@uark.edu
OfficeSCEN 222
Office hours Tuesday 2:00, Wednesday 3:00–3:30, Thursday 9:30, or by appointment.
No class meetings or office hours will be held on days when the university is closed due to inclement weather.
Graduate AssistantRusty Permenter
rperment@uark.edu

Course Description: First and second order ordinary differential equations, the Laplace transform, and matrix systems of ordinary differential equations.

Prerequisites: MATH 2564 with a grade of C or better.

Text: Differential Equations with Boundary-Value Problems, Eighth Edition, by Dennis G. Zill and Warren S. Wright.

Homework: Assignments will be posted to this course website. The complete assignment will be posted at least four days before the due date. Each week you will be assigned a number of self-checked problems and a smaller number of instructor-corrected problems. You are encouraged to work together on homeworks, but you must write up your solutions independently.

Instructor-corrected problems should be turned in for grading on the due date. We expect you to turn in your homework in class; if you cannot make it to class, either ask a classmate to turn in your homework for you or ask Rusty Permenter if he will accept homework at some other time. Late homework will not be accepted except in the case of a medical or other unforeseeable emergency; if you will be absent on the due date, consult with Rusty Permenter and arrange to turn homework in early.

Self-checked problems will not be graded and need not be turned in. You will be able to check your answers by looking at the answers given in the back of the book. It is important that you do these problems; you will learn the material much better if you practice it by doing all problems, and material covered only on self-checked problems and not on instructor-corrected problems will still appear on the midterm tests and final exam.

I expect to have 11 assignments over the course of the semester; your two lowest scores will be dropped and the remaining 9 assignments will comprise 20% of your course grade.

Tests: There will be three midterms tests and a final exam. I plan to hold midterm exams during class time Weeks 5, 9 and 13, on February 19, March 18 and April 22.

The final exam will occur in our regular classroom at the time indicated on the registrar’s website.

Make-up exams will only be given in exceptional circumstances (at the instructor’s discretion), and then only when notice is given to the instructor beforehand and a suitable written excuse forthcoming.

If you require extra accommodations on an exam, notify your instructor as soon as possible, but in all cases at least one week before the exam is to be held.

Course grade: Here is how I plan to weigh your grades:

Homework 20%
Midterm tests 15% each
Final 35%

Incompletes: Only given in extreme circumstances, and only when the student has satisfactorily completed all but a small portion of the work in the course. Students must make prior arrangements with the professor well before the end of the semester.