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Math 428,
Differential
Equations II
Spring 2010
(01/11/2010-05/08/2010)
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Time and Venue: |
MW 4:00PM - 5:15PM, CBC-C230 |
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Instructor: |
Dr. Pengtao Sun |
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Office Hours: |
MW 2:00PM - 3:00PM, or by
appointment
@ SEB-2129 |
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Email: |
pengtao.sun@unlv.edu |
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URL: |
http://faculty.unlv.edu/sun |
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Phone: |
(702) 895-5175 |
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Textbook: |
Elementary Differential
Equations and Boundary Value Problems, Eighth Edition, by
William E. Boyce / Richard C. DiPrima |
CATALOG DESCRIPTION:
Differential Equations II (3 semester hours) contains theory and solution
techniques for solving ordinary differential equations with constant and
variable coefficients, systems of linear differential equations, Laplace
transform, difference equations and numerical methods. Fourier Series; stability
theory and autonomous systems.
The topical outline of course objectives is the
following:
| Chapter
6 |
The Laplace Transform |
| Chapter
7 |
Systems of First Order
Linear Equations |
| Chapter
8 |
Numerical Methods |
| Chapter
9 |
Nonlinear Differential
Equations and Stability |
| Chapter
10 |
Partial Differential
Equations and Fourier Series |
| Chapter
11 |
Boundary Value Problems |
PREREQUISITE:
Math 283, 330 and 427.
TEST AND GRADING POLICY:
There will be FIVE (40 minutes)
quizzes, a (75 minutes) midterm exam, and a (2 hours) final exam. The
lowest TWO quizzes will be dropped. Each quiz is worth 10%, and each exam is
worth 35%. The quizzes usually occur once in every two weeks which will cover
the recently learned 3-5 sections, The midterm exam will be based on chapters 6 –
8 and the final exam will cover chapters 9 –
11.
Grades will be assigned on the basis of total
100 points,
distributed as follows:
|
Three quizzes out of five |
10% each, total 30% |
|
Two exams |
35% each, total 70% |
|
Total |
100 |
In addition, on the top of the total
100 points, there will be 10% extra
points directly coming from the in-class performance record of answering questions, and
are going to be used to upgrade the overall grade.
Final course letter grades will be assigned as follows:
|
A |
95-100 |
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A- |
90-94 |
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B+ |
86-89 |
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B |
80-85 |
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C+ |
76-79 |
|
C |
70-75 |
|
D |
60-69 |
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F |
0-59 |
NOTE: Your grade will be based EXCLUSIVELY on the examinations, homework,
quizzes and the in-class performance record.
CLASS POLICIES:
HOMEWORK:
The homework problems that you should
work after each lecture are on the assignment list. You are required to do
the homework outside of class for each section after we have
completed the lesson. The homework will not be collected in this semester,
however, the quizzes and/or the examinations will be based on the assigned
homework questions.
ATTENDANCE:
You are expected to attend class
regularly. If you miss a class for any reason, you are responsible for all
material covered, announcements made in your absence, and acquiring
materials that may have been distributed in class.
MISSED EXAMS:
You will have one opportunity to make
up a test given on a day you are absent if you can provide sufficient reason
for missing the examination.
CALCULATORS:
A graphics calculator is useful as a study
and learning tool when used appropriately. However, calculus is a collection of
ideas which are not mastered through calculator skills only. Note that no
calculators are allowed on tests.
ACADEMIC INTEGRITY:
Academic integrity is the pursuit of scholarly
activity in an open, honest and responsible manner. Academic integrity is a
basic guiding principle for all academic activity at
University of Nevada, Las Vegas, and all members of the University community are expected to act in
accordance with this principle. Consistent with this expectation, the
University's Code of Conduct states that all students should act with personal
integrity, respect other students' dignity, rights and property, and help create
and maintain an environment in which all can succeed through the fruits of their
efforts.
Academic integrity includes a commitment not to engage in or
tolerate acts of falsification, misrepresentation or deception. Such acts of
dishonesty violate the fundamental ethical principles of the University
community and compromise the worth of work completed by others.
Based on the University's
Student
Academic Misconduct Policy, a range of academic sanctions may be
taken against a student who engages in academic dishonesty.
LECTURE-BY-LECTURE BREAKDOWN
(Tentatively):
|
WEEK
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DAY/DATE
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SECTION(S) COVERED
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1
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Monday Jan 11 |
CLASS BEGINS
Introduction/§6.1-6.2 |
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Wednesday Jan 13 |
§6.3-6.4 |
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2
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Monday
Jan 18 |
Martin Luther King, Jr. Day Recess |
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Wednesday
Jan 20 |
§6.5-6.6
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3
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Monday
Jan 25 |
§7.1
QUIZ #1 |
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Wednesday
Jan 27 |
§7.2-7.3 |
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4
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Monday
Feb 1 |
§7.4-7.5 |
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Wednesday
Feb 3 |
§7.6-7.7
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|
5
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Monday
Feb 8 |
§7.8
QUIZ #2
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Wednesday
Feb 10 |
§7.9-8.1
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|
6 |
Monday
Feb 15 |
Washington’s Birthday Recess |
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Wednesday
Feb 17 |
§8.2-8.3
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|
7 |
Monday
Feb 22 |
§8.4-8.5
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Wednesday
Feb 24 |
§8.6-9.1
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|
8 |
Monday
Mar 1 |
§9.2
QUIZ #3 |
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Wednesday
Mar 3 |
§9.3-9.4 |
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9 |
Monday
Mar 8 |
§9.5-9.6
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Wednesday
Mar 10 |
REVIEW |
|
10 |
Monday
Mar 15 |
MIDTERM EXAM |
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Wednesday
Mar 17 |
§9.7-9.8
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|
11 |
Monday
Mar 22 |
§10.1-10.2 |
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Wednesday
Mar 24 |
§10.3-10.4 |
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12 |
Monday
Mar 29 |
Spring Break |
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Wednesday
Mar 31 |
|
13 |
Monday
Apr 5 |
§10.5
QUIZ #4
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Wednesday
Apr 7 |
§10.6-10.7 |
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14 |
Monday
Apr 12 |
§10.8-11.1
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Wednesday
Apr 14 |
§11.2-11.3
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|
15 |
Monday
Apr 19 |
§11.4-11.5
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Wednesday
Apr 21 |
§11.5-11.6 |
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16 |
Monday
Apr 26 |
REVIEW
QUIZ #5 |
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Wednesday
Apr 28 |
REVIEW
LAST DAY OF
CLASSES
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|
17 |
Monday
May 3 |
6:00pm-8:00pm
FINAL EXAM |
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