MATH 3195 Linear Algebra and Differential Equations (Spring 2009)
TENTATIVE SYLLBUS - An Official Syllabus will be given when Gary returns. His syllabus will supersede this one.
Tues. and Thurs. 1:00-2:50PM; SI 109
Lynn S. Bennethum (Interim Instructor); Gary Olson will be the instructor
Office: CU 638, Phone (303) 556-4810
Office hours: Tues. and Thurs. noon-1:00PM the MERC lab (in
Sci 132, then to be moved to the 4th floor of the NC building near CLAS
advising and the writing lab) or
by appointment.
e-mail: Lynn.Bennethum@ucdenver.edu
Web page:
http://www.math.ucdenver.edu/~bennethm
Fax: (303) 556-8550
Home Phone: (303) 683-6983 (Please call after 9am and
before 9:30pm - about half the time I work at home on Fridays).
Textbook: Differential Equations and Linear Algebra
by C. H. Edwards and D. E. Penney.
2005, Pearson Prentice Hall.
Couse Description: This is an introductory course to
ordinary differential equations and linear algebra with an emphasis on
applications.
it is a combination of two 3 credit-hour courses: Ordinary
Differential Equations and Linear Algebra. It consists of roughly
2.5 credits of differential equations and 1.5 credits of linear
algebra. We will focus on 1) how to solve ordinary differential
equations, 2) how to interpret the
solution, and 3) how to apply them to solve real world problems.
Prerequisite: Calculus II (Math 2411)
Course Goals:
- Learn to recognize and classify various types of ordinary differential equations
- Understand the qualitative nature of solutions to certain
classes of differential equations with emphasis on exponential growth,
oscillations, and equilibrium solutions
- Learn to solve certain types of elementary
differential equations analytically, with an emphasis on first-order
differential equations and higher-order linear differential equations.
- Develop skill in formulating differential equation models to
address problems arising in engineering, physics, and other applied
areas.
- Gain exposure to a few numerical and graphical tools for studying and solving differential equations.
- Learn about linear systems and matrices.
- Learn about eigenvalues and eigenvectors and use them to solve systems of ordinary differential equations.
Grading: The grade will consist of homework, 2 or 3 exams, a final, and possibly projects.
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Test 1
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Homework:
Homework will be assigned weekly, and will
be due at the beginning of class the following week. I believe doing homework
is vital to learning the material in this class. You should expect
to spend at least 6-8 hours/ week on the homework and preparing for class. However you
should spend your time wisely. If you find yourself working on one
problem for more than 10 minutes without progressing, then move on to another
problem - often doing other problems will clarify something which you needed
to do for the original problem. If you are getting stuck on
all the problems, then it is time to talk with a classmate (working together
is encouraged!) or to come see me.
I will grade 4-6 problems from each homework
set and you will get additional points for attempting every problem.
Each
homework will be worth 30 points. I will accept late homework, but with
a penalty. Homework turned in during class to the next class will get
half credit. Homework turned in more than one class late will
receive no credit. If you think I have made a mistake in grading
a problem
(not unheard of!), then you need to tell me within a week after the
homework
is returned. A list of all assignments will be kept on my website.
The lowest two homework grades will be dropped.
The purpose of homework is for me to give you feedback
on your logic. It defeats this purpose if you just write down
the answer (this will be worth zero points unless it's a short answer
question). Take advantage of my giving you feedback - if you are
not clear on a step write out the question and denote it clearly.
For each homework question:
- Give a short summary of the problem statement. I should not have to refer to the text to determine the problem statement.
- Organize all work neatly. It should be written so that a
classmate who does not know how to solve the problem can follow your
solution easily.
- Box or highlight your final answer.
I would like to encourage you to work together on your homework
assignments. However, all problems should be written up by you in
your own words (so that even if you are working with a classmate, the
solution writeups should be different).
Exams and Final:
There will be two or three in-class exams and
a final. I do not plan to give any make-up tests. If you
must miss a test, please contact me BEFOREHAND, as I will tend to be more
lenient. However, if I am approached after the fact, I will expect some
``hard'' evidence (i.e. doctor's excuse, death certificate...) Whatever
the circumstance, please get in touch with me.
Projects: There may be up to two projects due
in this class. The projects can be chosen from a list of projects. More details will be provided later.
Technology: A graphing calculator (TI-89/92) is often very
handy during lectures and to check your work. You may also use
technology on assigned homework problems and your projects, though it will be
expected that you can work many problems by hand. Technology will
NOT be allowed on the exams. If you have a Window PC, you may obtain
a free version of DERIVE5 from the MERC Lab. Follow the
installation instructions carefully! If you would
like to use other computer/software, please see me so that we can be
sure that your software does what is necessary for this class.
You must be able to print out your results.
Cheating: Cheating of any kind results in a grade of F
and
possible expulsion from the university. It isn't worth it, so don't do
it.
Final Exam: The final will be scheduled during the week of May 11th. Attendance at the Final Exam is
mandatory. The Final Exam CANNOT be given in advance.
Requests can be made to reschedule the exam if it conflicts with
another final exam. Otherwise having the final re-scheduled is
extremely rare
and is not permitted for reasons such as plane tickets purchased early
and attendance at weddings. Plan accordingly!
Drops and Incompletes: Non-CLAS students (engineering) have until April 6th and CLAS students (math, economics) have until April 20th, 5pm, to drop
this course with only the instructor's (but not the Dean's) signature.
The incomplete policy of the department and college is strictly
enforced. Incomplete grades (IW or IF) are not granted for low
academic performance. To be eligible for an incomplete grade,
students must meet all of the following requirements:
- The student successfully completed a minimum of 75% of the course.
- There were special circumstances beyond the student's control
that precluded the student from attending class and completing the
course.
- Verification of these special circumstances is required.
- The student has made arrangements to complete the missing coursework with the original instructor via a CLAS Course Completion Agreement.
The Course Completion Agreement is available from the CLAS
Advising office (NC 2024) or from the Department of Mathematical
and Statistical Sciences.
Religious Holiday Accomodations: You must inform me at the beginning of the semester in order for me to accomodate any rescheduling of your coursework.
Disability Accomodations: To be eligible for accomodations, students must
be registered with the UCDHSC office of Disability Resources and
Services (DRS). The office is located in the Arts Bldg. in Room
177 (303) 556-3450. Faculty cannot arbitrarily decide to give a
student extra assistance, or other forms of aid unless it is
formally mandated by the DRS.
Dean's Office Announcements:
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Important Dates
- January 20, 2009: First day of Class
- January 25, 2009: Last day to be added to a wait list using the
SMART system.
- January 25, 2009: Last day to add a course using the SMART
system.
- January 27-February 4, 2009: Students are responsible for
verifying an accurate spring 2009 course schedule via the SMART
registration system. Students are
NOT notified of their wait-list status by the university. All students must check their
scheduled prior to February 4, 2009 for accuracy.
- January 26, 2009: LAST DAY TO DROP WITHOUT DROP
CHARGE – THIS INCLUDES SECTION CHANGES.
- January 26, 2009: Wait Lists are dropped. Any student who was not added to a course
automatically from the wait list by this date and time MUST complete a
drop/add form to be added to the class.
Students are NOT automatically added to the class from the wait
list after this date and time. If
your name is not on the official student roster, you are not registered
for the course.
- January 27, 2009: First day instructor may approve request to
add a student to a full course with a Schedule Adjustment Form.
- February 4, 2009 at 5 PM: Last day to add structured
courses without a written petition for a late add. This is an absolute deadline and
is treated as such. This deadline does not apply to
independent study, internships, project hours, thesis hours,
dissertation hours, and late-starting modular courses.
- February 4, 2009 at 5 PM: Last day to drop a spring
2009 course with a tuition
adjustment minus the drop charge and
no transcript notation – this includes section changes. Drops after this date will appear on
your transcript. This
is an absolute deadline and is treated as such.
- February 4, 2009 at 5 PM: Last day to completely
withdraw from all spring 2009 courses with a tuition adjustment and no transcript notation. Drop charge applies. Drops after
this date will appear on your transcript. This is an absolute deadline and
is treated as such.
- February 4, 2009 at 5 PM: Last day to request
pass/fail option for a course.
- February 4, 2009 at 5 PM: Last day to request a no
credit option for a course.
- February 4, 2009 at 5 PM: Last day to register for a
Candidate for Degree.
- February 4, 2009 at 5 PM: Last day to petition for a
reduction in thesis or dissertation hours.
- February 4, 2009 at 5 PM: Last day to apply for spring
2009 graduation. You must make an
appointment and see your academic advisor before this date to apply for
graduation.
- February 16-25: Faculty can use the early alert system.
- April 6, 2009 at 5 PM: Last day for non CLAS students to drop or
withdraw from all classes without a petition and special approval from
the student’s academic Dean. This is treated as an absolute
deadline.
- March 23-29, 2009: Spring Break.
- April 20, 2009 at 5 PM: Last day for CLAS students to drop or withdraw
from all classes without a petition and special approval from the
student’s academic Dean. Students still need signatures from the faculty
and Dean. This is treated as an absolute deadline.
- After April 20, 2009 all schedule changes require a petition. Petitions are available in NC 4011.
- No schedule changes will be
granted once finals week has started.
There are NO exceptions to this policy.
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