Course Information - Math 450: Numerical Analysis - Section 01, Fall 2016
4 Credits: MTRF 12:00-12:50p.m. Langseth Hall
Room 102
Textbook: Numerical Analysis, 10th ed
by Richard L. Burden, J. Douglas J. Faires &
Annette M. Burden, Cengage Learning
Instructor: Justin
James, Mathematics Dept. Office: MacLean
375M
Office Phone: 477-4011
Office Hours: MT HF 10:00 – 10:50am Email:
jamesju@mnstate.edu
T H 11:00 – 11:50am Webpage: web.mnstate.edu/jamesju
Other times by Appointment
Course Description: Numerical
solutions to systems of equations and differential equations, finite
differences,
interpolation formulas,
numerical calculus, and approximating functions.
Prerequisites: In
order to take Math 450, students must have successfully completed MATH 310:
Discrete
Mathematics (or both MATH 210 and MATH
311), MATH 323: Multi-Variable and Vector Calculus, AND CSIS 152 –
Introduction to Computers and
Programming Ia.
Major Content Areas:
·
Rounding methods, absolute and relative
error, the definition of an algorithm.
·
Methods for approximating roots of
functions, error analysis and rates of convergence for these methods.
·
Interpolation and approximation of
functions (including finite difference methods), error analysis for these
methods.
·
Numerical differentiation and numerical
integration techniques, error analysis for these methods.
·
Approximating solutions to initial
value problems, the definition of a well-posed problem, error analysis for
these methods.
Learning Outcomes:
·
Use numerical methods to find
approximate solutions to a variety of real world problems.
·
Understand the importance of verifying
necessary hypotheses when using numerical methods to solve
problems.
·
Understand the importance of error
analysis and be able to use error analysis to find a reasonable upper bound
on the error when using
numerical methods to solve problems.
·
Develop multiple methods to solve the
same type of problem and understand how to choose an appropriate
method to use in a specific application.
Instructional Strategies: Lecture,
discussion, projects, group work, and student presentations.
Course Requirements: You are expected to complete all daily homework,
projects, and presentations, and to take and
pass all
exams and quizzes at their scheduled dates and times.
Attendance and
Academic Expectations: You are expected to attend class
regularly and on time. The penalty for
unexcused absences is that missed assignments cannot be made up. You are expected to read the assigned material
in
your textbook prior to each lecture and to attempt
the problems on the homework assignment.
When working in
groups, you should participate fully in what
the group is trying to accomplish. You
should bring your book, calculator,
and solutions to recent homework problems
with you to class.
Homework: I will collect homework for grading several times during the semester. You will be told in advance which
problems to write up and turn in. You are encouraged to discuss homework with your
classmates and with me outside
of class during my office hours. If my office hours do not match your schedule,
see me about arranging another time to
meet.
Some homework problems will require the use of a calculator or a
computer. When using a calculator, make
sure the
method you used is clear. When using a computer, include a printout of
the code and its output or the Maple
worksheet that you used. In general, using a
computer application for computations is preferred to using a calculator.
Quizzes: I will give quizzes at various times during the course. I will typically announce quizzes at least
one day before
I give them so you have some time to
prepare. Quizzes are worth from 5-10
points, depending on their length and
scope.
Extra Credit: There may be a few extra credit assignments during the semester (don’t
count on more than a handful).
Some may be
announced on the course website while others will be given in class. All extra credit will be offered to the
entire class and must be handed in by the required due
date. There will be no individual extra
credit assignments.
Programming and Computational Assignments: Since the main emphasis of this course
is learning to understand
and apply numerical methods, there will be
several programming and computational assignments during the semester
(approximately two per chapter). Some will involve you writing a program to
implement an algorithm and then using
the algorithm on a given set of data
(sometimes drawn form a real-world scenario).
Others will involve using or
modifying an existing algorithm or using a Maple
worksheet to carry out computations.
Exams: This course will have four in-class
exams and a comprehensive final exam,
as outlined on the course schedule.
Credit given on exam questions will be proportional to the amount of
correct work shown. Little to no credit
will be
given if sufficient work is not shown, even
when the final answer is correct. Your
best three in-class exams will be
worth 100 points each, while your lowest
exam will be scaled to be out of 50 points.
The final exam is worth 200
points.
Presentations: Each student will be expected to present an in-class presentation this
semester (individually or as part
of a group).
Your presentation will contribute 50 points toward your final grade.
Course Grading
Policy: Your final grade in the course will be
computed using the following point structure and scale:
Homework/Quizzes
125 points
Programming/Computational Assignments 125 points
Highest 3 Unit Exams:
300 points
Lowest Unit Exam:
50 points
Presentation:
50 points
Final Exam:
200
points
Total:
850 points
96.5-100.0% A+ 81.5-86.4% B 69.0-71.4% C–
91.5-96.5% A 79.0-81.4% B– 66.0-68.9% D+
89.0-91.4% A– 76.5-78.9% C+ 60.0-65.9% D
86.5-88.9% B+ 71.5-76.4% C <60.0% F
Make-up Work: Because
you are allowed to drop a few scores in each daily work grade category, I only
allow make-up
assignments
for extreme personal emergencies or for absences that are
officially sanctioned by the University. I will
expect
written documentation in either of these cases. If you miss an exam
and a make-up exam is not warranted, you
may
replace your grade on one missed exam with your un-scaled percentage
score on the final exam.
Special Accommodations: Minnesota
State University Moorhead is committed to providing equitable access to
learning
opportunities for all students. The
Disability Resource Center (DRC) is the campus office that collaborates
with
students who have disabilities to provide and/or arrange accommodations.
• If
you have, or think you may have, a disability (e.g. mental health, attentional,
learning, chronic health, sensory
Or physical) please contact the DRC at
(218) 477-4318 (V) or (800)627.3529 (MRS/TTY) to schedule an appointment
for an
intake.
• Additional
information is available on the DRC website: http://www.mnstate.edu/disability/
• If
you are registered with the DRC and have a current Accommodation Letter, please
schedule an appointment
to
visit with me, during my office hours, to discuss implementation of your
accommodations.
Academic Honesty: You
are expected to do your own work. You may work with others and get help
on assignments,
but the
final work you submit must be your own. During exams and quizzes you
will not be allowed to get help from
others.
Cheating and plagiarism will not be tolerated in any course at any level.
See the MSUM Academic Honesty
policy for
more information on the possible consequences of cheating.
Sexual Violence
Prevention Statement: Acts of sexual violence are
intolerable. MSUM expects all members of the
campus community to act in a manner
that does not infringe on the rights of others. We are committed to eliminating
all acts of sexual violence. MSUM
faculty and staff are concerned about the well-being and development of our
students. We are obligated to share
information with the MSUM Title IX Coordinator in certain situations to help
ensure that the students’ safety and
welfare is being addressed, consistent with the requirements of the law. These
disclosures include but are not limited to
reports of sexual assault, relationship violence, and stalking. If
you have
experienced or know someone who has
experienced sexual violence, services and resources are available. You may
also choose to file a report. For
further information, contact Lynn Peterson, Coordinator of Sexual Assault
Services at
Hendrix Clinic and Counseling Center, 218-477-2211, or Ashley
Atteberry, Title IX Coordinator in Owens Hall 208
(218-477-2174; ashley.atteberry@mnstate.edu).
Additional information is available at: www.mnstate.edu/titleix
Thanks, and Let’s Have a Great Semester!!
Math 450 – Section 01 Course Page