AMATH 351: Introduction to
Differential Equations and Applications
SLN 10055, MWF
1:10-2:10, Loew Hall 102
(Prerequisites: MATH 126 or MATH 136)
Instructor:
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Zhang, Yun (Claire) |
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Course
Description
Introductory survey of ordinary differential equations. Linear and nonlinear
equations.
Textbook
Boyce and DiPrima, Elementary Differential Equations and Boundary
Value Problems 8th Edition.
ISBN-10: 0471433381 ISBN-13: 978-0471433385
Available at University Bookstore. An old version of the book is also fine. I will not cover all chapters of the book, especially the last few parts about partial differential equations.
Syllabus
Please download
the .pdf file here.
Here're the notes I'm using basiclly.But please pay attention I always add some useful infomation and example from other resources when teaching.
You can download
the notes' .pdf file here.
A few other notes
I wrote myself : Systems
of Differential Equations，Series
Solutions Method .
Learning
Objectives and Instructor Expectations
AMATH 351 aims at
familiarizing the students with different types of differential equations,
introducing basic skills of solving some of the differential equations that can
be solved exactly and letting the students get a sense of how odes are applied
in some physical can biological situations. Most of our
efforts will be focused on ordinary differential equations. Since there are
tons of readings and exercises in the book, only attending lectures and
finishing the homework is far from enough for you to establish a solid
foundation. I am expecting you to spend at least 10 hours out of class on it.
You are always welcome to ask any questions, even about the topics we
won’t cover.
Schedule
and Homework
Follow links in
the table below to obtain a copy of the homework in PostScript (.ps) or 
Adobe Acrobat
(.pdf) format. You may also obtain here solutions to
some of the homework and exam problems. An item shown below in plain text is
not yet available. For additional information regarding viewing and printing
the homework and solution sets, click
here.
|
Week |
Homework and Exams |
Homework Due Date |
Homework Problem Sets |
Homework Solutions |
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1 |
First day of classes |
Monday, June 23 |
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Homework#1 |
Monday, June 30 |
Section1.1 #15-20 Section1.3 #1-6,13,14,17,19 Section2.1 #14,16,19,31,40 |
Click here |
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2 |
Homework#2 |
Monday, July 7 |
Section 2.2 #6,18,32 Section2.4 #3,12,15,29 Section2.6 #8,21,23 [Extra Bonus
Section2.6 #24] |
Click here |
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Independence Day |
Friday, July 4 |
No class |
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3 |
Homework#3 |
Monday, July 14 |
Section 3.1 #16,21 Section 3.2 #3,18,22,24 Section 3.4 #9,20,29,40 |
Click here |
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4 |
No
Homework |
|
Practice Section 3.3 #9,21 Section 3.5 #12,20,26 Section 3.6 #1,14 Section 3.7 #4,12 |
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5 |
Midterm Exam |
Monday, July 21 |
60 minutes,
full class time |
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Homework#4 |
Wednesday, July 30 |
Section 3.8 #24,30 Section 3.9 #12,18 Section 7.1 #6 Section7.2 #22 Section7.3 #22 |
Click here |
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6 |
Homework#5 |
Wednesday, August 6 |
Section7.3 #22(if you didn’t do it in last hw) #28 Section7.5 #2,11,31 Section 7.6 #3,8,28 Section7.7 #5 |
Click here |
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7 |
Homework#6 |
Wednesday, August 13 |
Section 7.8 #3 Section 7.9 #1,7 Section 5.1 #3,9,13 Section 5.2 #4,12 Section 5.3 #6 Section 5.4 #6 |
Click here |
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8 |
Homework#7 |
Wednesday, August 20 |
Section 5.5 #10 Section 5.6 #6 Section 5.7 #7 Section 6.1 #13,15 Section 6.2 #3,8,22,24 |
Click here |
|
9 |
Homework#8 |
Not turned in. |
Section 6.3 #8,17,23 Section 6.4 #2 Section 6.5 #6,15 Section 6.6 #10,16 |
Click here |
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Final
Exam |
Friday, August 22 |
120 minutes (1:10pm-3:10pm) |
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Grading
There will be one mid-term, one final exam and weekly homework assignments.
Your final grades will be determined as follows:
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Homework |
40% |
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Mid-term (60 minutes, full
class time) |
20% |
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Final (120 minutes) |
40% |
Exams will test your basic
understanding of the material covered in class as well as solving problems
based on the class materials.
In the exams, no calculator is
allowed. You can bring one 8.5 x 11 (letter-sized, two-sided) hand-written note
sheet and you will have to turn in your note sheet with your exam.
Homework is usually due every
Monday starting from the 2nd week. You need to show your work in
full detail. Partial credits will be deducted if you just give me a number of
equation without any mathematical reasoning or word explanation. And please
also arrange your homework as clear and neat as possible. You may also get
points off if I can’t understand you handwriting. Late homework is not accepted and there are no make-ups. I will
drop your lowest homework grade when calculating your final grade. You may view
your homework and exam grades
on-line.
Other Resources
Here is a good tool on the
website: Phase Plane Drawing
Tool by John Polking and others.
There’s also a good Matlab command pplane7,
try it out in your Matlab command window.
|
Thu Jun 12 16:01:48 PDT 2008 |