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MAT 204
Differential Equations
Spring 2010
Instructor:
Bruce Armbrust, phone: 541-4660 ext. 314, email:
armbrust@ltcc.edu
Office Hours:
Room A210, Mon., Wed.
Wed., Fri.
MSC A201,
Mon, Tues.
And as always, by appointment.
Class Time and Location:
Mon., Wed., Fri.
Textbook:
Elementary Differential Equations,
9th Edition, by Boyce & DiPrima
Course Description:
This course covers techniques of solving ordinary differential equations
including: exact, separable, and linear equations, integrating factors, the
method of undetermined coefficients, variation of parameters, Laplace
transforms, series solutions, systems of differential equations, and
applications.
Prerequisite:
MAT107 with a grade of C or better or equivalent.
Student Learning Outcomes:
By the end of the term, students shall be able to 1.
Apply ordinary differential equations to problems from physics, biology, and
other scientific disciplines.
Course Grade:
Your final letter grade will be based on the usual grading scale:
A 90-100%, B 80-89%, C 70-79%, D 60-69%, F 0-59%
The following items will make up the course grade:
Homework:
15%
Poster Project:
10%
Exam1 (April 30):
20%
Exam2 (May 28):
20%
Final Exam (June 22):
35%
You may check your grades at any point in the quarter by going to the following
website:
http://www.gradesource.com/reports/1027/18464/index.html
Poster Project:
Our class will join with the 1st year calculus class as well as the
calculus- based physics class in the creation of posters demonstrating the use
of calculus & physics in every-day life.
The requirements and due dates for the project will be provided at a
later point. Poster presentations
will be held at a date TBD.
Exams:
Students are to bring a pencil and blank scratch paper to each exam.
If you cannot make it to an exam (final not included), you may take it up
to 2 school days prior to the scheduled date with proper arrangements.
Otherwise, the exam may be made up after the scheduled date with a
penalty of 10% per day. The final
exam must be taken no later than June 21st.
Registration Information:
You must register for this class through the LTCC web page using WebReg.
You may drop the class with no penalty or mark on your record on or
before April 30. After April 30,
you may drop the class and receive a grade of W until May 21.
After May 21, if still enrolled, you will receive a grade of A, B, C, D,
F or I.
How to Succeed in a Math Class:
I am often asked how to successfully pass a math class, and here is my advice:
I) Come to every class session. Be
prepared, and plan on participating.
II) Do your homework. Remember that
what I assign is what I consider a bare minimum.
If you need more practice, do it.
III) Read the book. You paid good
money for it, so you might as well use it.
IV) Make use of available tutors and my office hours.
You will find tutors who know the subject matter in this course at the
MSC.
V) Do math every day. Math is just
like everything else: if you dont practice, you become rusty.
Learning Disabled Students:
Students with disabilities who may need accommodations for this class are
encouraged to notify me and contact the Disability Resource Center (DRC) early
in the quarter so that reasonable accommodations may be implemented as soon as
possible. Students may contact the DRC by visiting the Center (located in
room A205) or by phoning 541-4660, ext. 249 (voice) or 542-1870 (TTY for deaf
students). All information will remain confidential.
Technology in the Classroom:
All cell phones, headphones, MP3 players, iPods, etc, must be turned off and put
away prior to the start of each class.
No electronic devices (other than calculators) may be used during quizzes
and exams.
Academic Dishonesty:
Academic dishonesty of any form will not be tolerated.
Students caught cheating on an exam will receive a score of zero on the
assignment and the ability to skip the final exam will be forfeit.
Students may work together on homework assignments (and, in fact, are
encouraged to) as long as all students understand the material covered.
Course Schedule:
The following is a tentative schedule.
If things change (and I have money that says they will), I will let you
know.
April
5
Chapter 1
Introduction to Differential Equations
7
2.1/2.2
Integrating Factors and Separable Equations
9
2.3
Modeling with First Order Equations
12
2.4/2.5
Linear vs. Nonlinear, Autonomous Equations
14
2.6
Exact Equations and Integrating Factors
16
2.8
The Existence and Uniqueness Theorem 19 2.9 First Order Difference Equations
21
3.1
Homogeneous Equations with Constant Coefficients
23
3.2
Linear Homogeneous Equations
26
3.3/3.4
Complex and Repeated Roots
28
3.5
Nonhomogeneous Equations
30
Exam I
May
3
3.6
Variation of Parameters
5
3.7
Mechanical and Electrical Vibrations
7
3.8
Forced Vibrations
10
4.1
General Theory of nth Order Linear Equations
12
4.2
Higher Order Homogeneous Equations
14
4.3
Method of Undetermined Coefficients
17
4.4
Method of Variation of Parameters
19
5.1
Power Series
21
5.2
Series Solutions near an Ordinary Point
24
5.3
More Series Solutions
26
5.4
Euler Equations
28
Exam II
31
NO CLASS
MEMORIAL DAY
June
2
6.1
The
4
6.2
Initial Value Problems
7
6.3
Step Functions
9
6.4
Discontinuous Forcing Functions
11
7.2/7.3
Matrices/Systems of Linear Algebraic Equations
14
7.4
Systems of First Order Linear Equations
16
7.5
Homogeneous Linear Systems
18
7.6
Complex Eigenvalues
21
Final Exam
Note: The final is from
The following is a list of all homework assignments for this course. The due dates for the various sections will be given in class.
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