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MAT 204
Differential Equations
Spring 2012
Instructor:
Bruce Armbrust, phone: 541-4660x314, email: bruce.armbrust@hotmail.com
Office Hours:
Room A210, Mon., Wed.
12:00 1:00 PM
Tues., Thurs.
10:00 11:00 AM
MSC A201,
Fri.
11:00 AM 12:00 PM
And as always, by appointment.
Class Time and Location:
Mon., Wed., Fri. 1:00 2:40 PM,
A211
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 27):
20%
Exam2 (May 25):
20%
Final Exam (June 20):
35%
You may check your grades at any point in the quarter by going to the following
website:
http://www.gradesource.com/reports/1027/22449/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 may drop the class with no penalty or mark on your record on or before April
27. After April 27, you may drop
the class and receive a grade of W until May 18.
After May 18, 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
2
Chapter 1
Introduction to Differential Equations
4
2.1/2.2
Integrating Factors and Separable Equations
6
2.3
Modeling with First Order Equations
9
2.4/2.5
Linear vs. Nonlinear, Autonomous Equations
11
2.6
Exact Equations and Integrating Factors
13
2.8
The Existence and Uniqueness Theorem 16 2.9 First Order Difference Equations
18
3.1
Homogeneous Equations with Constant Coefficients
20
3.2
Linear Homogeneous Equations
23
3.3/3.4
Complex and Repeated Roots
25
3.5
Nonhomogeneous Equations
27
Exam I
30
3.6
Variation of Parameters
May
2
3.7
Mechanical and Electrical Vibrations
4
3.8
Forced Vibrations
7
4.1
General Theory of nth Order Linear Equations
9
4.2
Higher Order Homogeneous Equations
11
4.3
Method of Undetermined Coefficients
14
4.4
Method of Variation of Parameters
16
5.1
Power Series
18
5.2
Series Solutions near an Ordinary Point
21
5.3
More Series Solutions
23
5.4
Euler Equations
25
Exam II
28
NO CLASS
MEMORIAL DAY
30
6.1
The Laplace Transform
June
1
6.2
Initial Value Problems
4
6.3
Step Functions
6
6.4
Discontinuous Forcing Functions
8
7.2/7.3
Matrices/Systems of Linear Algebraic Equations
11
7.4
Systems of First Order Linear Equations
13
7.5
Homogeneous Linear Systems
15
7.6
Complex Eigenvalues
20
Final Exam
Note: The final is from 12:00 - 1:50 PM
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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