l
Textbook: W. E. Boyce and R. C. DiPrima, Elementary Differential Equations and Boundary Value Problems, 8th
Edition (2005).
l
Instructor: Yujin Guo, Vincent Hall 302, (612) 625-9817, Email：yjguo@math.umn.edu
l
Classroom: Vincent Hall 113，Class
Time: MWF 10:10 AM
--11:00 AM (Sept. 5 - Dec. 12).
l
Office hours: MWF 11:10 AM --12:00 PM or by appointment.
l
Homework Grader：Yousef Mian, Email: yousefmian@gmail.com
Course Description: The main purpose of this course is to introduce elementary theory of
differential equations, together with methods of finding (or approximating)
solutions that have proved effective in a wide variety of applications. We
begin with a review on several methods of finding solutions of first order
linear Ordinary Differential Equations (ODE), each of which can be applicable
to a certain sub-class of equations. We then go into the theoretical structure
and methods of solving linear ODE with constant coefficients and arbitrary
order.
To deal with a larger class of
equations with variable coefficients, we discuss power series solutions of
second order linear ODE at ordinary points, or at regular singular points. In
particular, we study Euler Equations and Bessel`s Equations, which are
frequently applied in practical engineering problems. We also discuss the
We finally introduce Separation
of Variables techniques for solving certain Partial Differential Equations.
Sections are covered:
2.1-2.6, 4.1-4.4 (Chapter 3 is covered), 5.1-5.8, 6.1-6.4, plus topics in
Chapter 10 if time permits.
Final Grade Evaluation: Homework (15%) + Three Midterm Exams (15% x 3 = 45%) + Final Exam
(40%).
Weekly Homework Assignments (15%): Only
part problems of each assignment will be corrected: 0/10 -10/10, and the rest
problems will be graded for completion: 0/10 -10/10. Therefore, your grade of
each assignment ranges from 0/20 - 20/20. There are totally 13 homework
assignments. Your final grade of homework assignments will be determined by the
best 10 grades of the totally 13
assignments.
The number of each homework
problem should be clearly written, and non-clear handwriting may result in the
loss of marks. Each homework assignment is collected in class every Wednesday (on Friday for any midterm week). Late
homework is not accepted!
|
Homework |
Due Date |
Problems |
Answers |
|
hw1 |
Sept. 19 (Wed.) |
Section 2.1: 13, 18, 30; Section 2.2: 8, 31(a,b); Section 2.3: 1, 27. |
Available in class |
|
hw2 |
Sept. 26 (Wed.) |
Section 2.4: 1, 22, 28; Section 2.5: 4, 13; Section 2.6: 7, 25. |
Available in class |
|
hw3 |
Oct. 5 (Friday) |
Section 4.1: 8, 11, 14; Section 4.2: 5, 18, 24, 34 |
Available in class |
|
hw4 |
Oct. 10 (Wed.) |
Section 4.3: 3, 5, 7; Section 4.4: 1, 3, 14. |
Available in class |
|
hw5 |
Oct. 17 (Wed.) |
Section 5.1: 6, 13, 16, 26; Section 5.2: 3, 10. |
Available in class |
|
hw6 |
Oct. 24 (Wed.) |
Section 5.3: 2, 6, 13; Section
5.4: 3, 4, 15; Section 5.5: 2, 8. |
Available in class |
|
hw7 |
Nov.2 (Friday) |
Section 5.6: 1, 14; Section 5.7: 8, 12, 14. |
Available in class |
|
hw8 |
Nov. 7 (Wed.) |
Section 5.8: 3, 5, 6. |
Available in class |
|
hw9 |
Nov. 14 (Wed.) |
Section 6.1: 2, 4, 5, 15; Section 6.2: 3, 11, 23, 28, 29. |
Available in class |
|
hw10 |
Nov. 21 (Wed.) |
Section 6.3: 6, 7, 11, 14; Section 6.4 (Graphs are optional): 3, 9,
10. |
Available in class |
|
hw11 |
Nov. 30 (Friday) |
Section 10.1: 10, 12, 17; Section 10.2: 2, 7, 9, 15, 16. |
Available in class |
|
hw12 |
Dec. 5 (Wed.) |
Section 10.3: 1, 3, 14; Section 10.4: 7, 15, 19, 20. |
Available in class |
|
hw13 |
Dec. 12 (Wed.) |
Section 10.5: 1, 3, 7, 10; Section 10.6: 1, 4, 7, 15. |
Available in class |
Midterm Exams (15% x 3 = 45%) & Final Exam (40%):
l
Midterm 1: 10:10 -- 11:10 am, Wednesday, October 3,
2007----Classroom;
l
Midterm 2: 10:10 -- 11:10 am, Wednesday, October 31, 2007----Classroom;
l
Midterm 3: 10:10 -- 11:10 am, Wednesday, November 28,
2007----Classroom;
l
Final Exam: 1:30 -- 3:30 pm, Wednesday,
December 19, 2007----Classroom.
Rules for Exams:
l
No
notes or books of any kind is allowed;
l
A
small-screen, simple scientific calculator is allowed; But
any calculator is not permitted in the final exam;
l
No
multiple boxed answers for any exam;
l
Disability
Services Testing must be requested one week before any exam;
l
Missing
any exam results in a mark of 0. Makeup exam will be given only for absence due
to unavoidable or legitimate circumstances, such as verified illness,
participation in intercollegiate athletic events or other group activities
sponsored by the University, subpoenas, jury duty, religious observances and
etc. Students are responsible for notifying me such circumstances with
effective documents as far in advance as possible.