Monday, February 6th is the last day to refund or exchange textbooks for the spring semester.
MATH 225-02 [2455],
Fall 2017
Introduction to Differential Equations
Course information
| Course: | MATH 225-02 [2455]:
Introduction to Differential Equations |
| Time/Place: | TuTh 5:30pm-6:45pm, MP 106
|
| Instructor: | Dr.
Jacob Kogan
|
Grader: |
Thomas Petr
|
| Office: |
MP 426 |
|
|
| Phone: | 410-455-3297 |
| Email: |
kogan at math.umbc.edu |
|
petrt1@umbc.edu
|
| Office hours: |
TuTh 4:45 PM-5:30 PM, and by appointment
|
|
|
Textbook
Fundamentals of Differential Equations and Boundary Value Problems, 6/e
by Nagle, Saff & Snider, Addison Wesley, 2011
(you may want to consult
valorebooks
and
free download)
Additional Ordinary Differential Equations textbook you may want to
consult:
-
Elementary Differential Equations by William E. Boyce, Richard C. DiPrima
[as of January 14, 2015 copies of the text are available at UMBC library,
the call number is QA371.B77 1997]
Course Description
The subject of this is course is an introduction to
ordinary differential equations and their applications.
It's pretty much a natural continuation of calculus.
Calculus II (Math 152) is a prerequisite. A knowledge of Linear Algebra
(Math 221) is a great asset, but it's not a prerequisite.
We will try to cover the following material:
Chapters 2, 4, 5-7.
We may cover these topics in a different order.
Depending on time we may cover more (or delete) topics.
Learning Goals
By the end of the class one should:
-
understand the key ideas, concept, definitions, and results,
-
be able to apply theoretical results and computational algorithms
to material realted problems.
To succeed in the class one should:
-
preview each section before it is covered in class,
-
actively participate in each class,
-
form and participate in a study group,
-
to work out each problem, discuss it in study group if needed;
-
do and hand in each assignment on time.
Helpful Material
-
partial fractions
and
partial fractions
-
first order differential equations
-
second order differential equations
-
Laplace Transform Table Boyd
-
Laplace Transform Table Boyce, DiPrima
Homework, Quizzes, Tests, and Grading
Homework
-
Weekly homework will be assigned on Thursday and collected the following
Thursday.
-
Please staple your homework, and present the problems in the order
assigned, if you want credit.
-
No late homework will be accepted.
Quizzes, Tests, and Grading
The final grade will be based on
four quizzes (25 pt each), and the comprehensive final (100 pt).
| Date |
Points |
Topic |
Solutions |
|
Thursday, September 28
|
25 pt |
Sections 2.2-2.4 and 2.6
|
quiz 1
|
|
Thursday, October 19
|
25 pt |
Sections 4.2-4.4, and 4.6
|
quiz 2
|
|
Thursday, November 16
|
25 pt |
Sections 7.2-7.6
|
|
Tuesday, December 5
|
25 pt |
|
|
|
Thursday, December 14
|
100 pt |
|
|
Final exam is scheduled for
Thursday, December 14, 2017
from 6:00 pm through 8:00 pm
in class.
There will be no make up quizzes or tests.
Letter grade cutoffs are expected to be the following:
| Percentage |
≥ 90% |
89% ≥ and ≥ 80% |
79% ≥ and ≥ 70% |
69% ≥ and ≥ 60% |
59% ≥ |
| Letter Grade |
A |
B |
C |
D |
F |
Remember: Mathematics is NOT a spectator sport.
Read through the relevant section of the text (and look over
all
the assigned problems) before each lecture.
OLD QUIZZES
m225 Spring 08
and
m225 Spring 12
Homework assignments
-
Homework 1, due Thursday, September 14, 2017
[solutions]
-
Section 2.2, page 43: 7, 10, 16, 25, 27(a)
-
Section 2.3, page 51: 8, 14, 18, 22, 28(c), 29
-
Homework 2, due Thursday, September 21, 2017
[solutions]
-
Section 2.4, page 61: 10, 15, 21, 25, 27(b), 33(a)
-
Homework 3, due Thursday, September 28, 2017
[solutions]
-
Section 2.6, page 74: 1, 11, 13, 18, 22, 24, 33, 41, 42
-
No homework assigned due Thursday, October 5, 2017
-
Homework 4, due Thursday, October 12, 2017
[solutions]
-
Section 4.2, page 165: 7, 10, 15, 28, 34, 43
-
Section 4.3, page 173: 3, 8, 24, 31(a)
-
Homework 5, due Thursday, October 19, 2017
[solutions]
-
Section 4.6, page 193: 1, 7, 12, 17
-
Section 4.4, page 182: 9, 11, 20, 23, 26
-
No homework assigned due Thursday, October 26, 2017
-
Homework 6, due Thursday, November 2, 2017
[solutions]
-
Section 4.7, page 200: 32, 34, 47, 48
-
Section 7.2, page 360: 2, 3, 12, 13, 17, 30
-
Homework 7, due Thursday, November 9, 2017
[solutions]
-
Section 7.3, page 365: 4, 9, 21, 22, 27, 31
-
Section 7.4, page 374: 4, 10, 22, 27, 31
-
Homework 8, due Thursday, November 16, 2017
-
Section 7.5, page 382: 3, 8, 15, 21, 23, 29, 34
-
Section 7.6, page 393: 5, 7, 9, 13, 21, 26, 30, 35, 39
-
No homework assigned due Thursday, November 23, 2017
-
Next sections to be covered
-
Section 7.8, page 410: 1, 6, 11, 15
-
Section 7.7, page 403: 4, 9, 13, 31, 32
The Official UMBC Honors Code
By enrolling in this course, each student assumes the responsibilities
of an active participant in UMBC's scholarly community in which
everyone's academic work and behavior are held to the highest standards
of honesty. Cheating, fabrication, plagiarism, and helping others to
commit these acts are all forms of academic dishonesty, and they are
wrong. Academic misconduct could result in disciplinary action that
may include, but is not limited to, suspension or dismissal.
To read the full Student Academic Conduct Policy, consult the UMBC Student
Handbook, the Faculty Handbook, the UMBC Integrity webpage
www.umbc.edu/integrity, or the Graduate School website
http://www.umbc.edu/gradschool/procedures/integrity.html.