Course Information - Math 450: Numerical
Analysis - Section 01, Fall 2012
4 Credits: MTThF
1:30-2:20p.m. Bridges Room 268
Textbook:
Numerical
Analysis, 9th
ed., by J. Douglas Faires. Thomson, Brooks/Cole
Office:
MacLean 375M Office
Phone: 477-4011
Office Hours: MTWThF 10:30 – 11:20am Email: jamesju@mnstate.edu
W 12:30 –
2:20pm Webpage: web.mnstate.edu/jamesju
MT ThF 2:30 –
3:20pm
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:
MATH 323, CSIS 152
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.
Course 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, group presentations.
Course Requirements: You are expected to complete all daily homework, labs,
and writing assignments, 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 output or worksheet that you used.
In general, using a computer application for computations is preferred.
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 will be worth from
5-10 points, depending on their length and scope.
Extra
Credit: There will be a few extra
credit assignments during the semester (don’t count on more than a
handful). Some will 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 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. 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 syllabus. Be sure
to mark the date of each exam on your calendar, especially the final exam. The 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. In your final grade, your best three in-class
exams will be worth 100 points each, while your lowest exam will be scaled in
half to be out of 50 points. The final
exam is worth 200 points.
Presentations: Each
student will be expected to contribute as part of an in class group presentation
this semester. Your presentation will
contribute 50 points toward your final grade.
I will give you more details about these presentations later in the
semester.
Course Grading Policy: Your final grade in the course will be computed as
follows:
Homework/Quizzes 150
points
Programming/Computational Assignments 100 points
Highest 3 Unit Exams: 300
points
Lowest Unit Exam: 50 points
Presentation: 50 points
Final Exam: 200
points
Total: 850 points
I
will compute the percentage of the total possible points each student earned
during the semester (rounded to the nearest .1%), and will then assign letter
grades based on the following scale:
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 several scores, I will only give make-up assignments for
extreme personal emergencies or for absences which 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:
Students with disabilities who believe they may need an
accommodation in this class are encouraged to contact Greg Toutges,
Director of Disability Services at 477-4318 (Voice) or
1-800-627-3529 (MRS/TTY), Flora Frick 154 as soon as possible to
ensure that accommodations are implemented in a timely fashion.
Information regarding Disability Services is available at http://web.mnstate.edu/disability/
Academic Honesty: You are expected to do your own work. You may work
with others and get help on assignments, but the 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.
Thanks, And Let’s Have A
Great Semester!!
Math
450 – Section 01 Course Page