
General information 
Instructor:
Malgorzata Peszynska, Professor of Mathematics
Class:
MWF 2:002:50pm, MLM 234
Course information: Credits: 3.00.
Student preparation: the students should have completed MTH
256 or equivalent, and MTH 341.
Class announcement.
Textbook:
 REQUIRED:
Gilbert Strang,
Introduction to Applied Mathematics, Wellesley, 1986. Other
materials will be available as class notes and handouts.
In particular, I will be using parts of
 J.D. Logan, "Applied Mathematics", Wiley 1987
 P.S. Hansen, "Discrete Inverse Problems. Insight and Algorithms", SIAM 2010
 D.P. O'Leary, "Scientific Computing with Case Studies", SIAM 2009
 K. Borre, G. Strang, "Algorithms for Global Positioning", WellesleyCambridge, 2012
 Cleve Moler's books and materials at http://www.mathworks.com/moler/
Syllabus: This class covers various discrete and continuous models
along with the necessary mathematical methods. The methods will
include linear analysis, equilibrium and minimum principles, calculus
of variations, principal component analysis (singular value
decomposition) and orthogonal expansions, asymptotic and Fourier
analysis, least squares, and constrained and unconstrained
optimization. As time permits, a gentle introduction to inverse
problems and Monte Carlo techniques will be included. The models will
be explored in depth in various guided projects and computer lab
activities, none of which require prior computing expertise.
Grading: a grade for the class will be established based on
the Homework grade (30%), Lab and
project reports grade (30%), and Exam grade (40%) from two exams worth
20% each. No late HW will be accepted but one lowest HW grade
will be dropped.
Exams: Midterm 1: 5/9/14 in class.
Midterm 2: 5/28/14 in class.
There will be no makeup exams.
Attendance: Attendance in class is not taken but students are
responsible for the material covered in class. Attendance in lab
meetings is
required but a prearranged absence in one lab meeting can be allowed.
(Lab meetings will be scheduled most Fridays and/or other days as schedule permits)
Daily schedule will be posted as a guide to the class activities.
Course Learning Outcomes:
A successful student who has completed
MTH 499 will be able to
 Follow the fundamental ideas of mathematical modeling for
various current applications which translate a given problem to one
that can be solved using algebra and differential equations.
 Solve discrete and continuous quadratic minimization problems and
the associated positive definite linear models arising from physically
motivated equilibrium problems and calculus of variations.
 Apply the basics of Fourier analysis to selected examples.
 Use the principles of principal component analysis and least
squares for solving, in particular, large underdetermined and
overdetermined linear systems.
A successful student who has completed MTH 599 will be able to:

Apply the fundamental ideas of mathematical modeling for
various current applications which translate a given problem to one
that can be solved using algebra and differential equations.
 Formulate and solve discrete and continuous quadratic
minimization problems and the associated positive definite linear
models arising from physically motivated equilibrium problems and
calculus of variations.
 Apply the basics of Fourier analysis and understand its limitations
 Use the principles of principal component analysis and least
squares for solving, in particular, large underdetermined and
overdetermined linear systems. Select the most appropriate method for
a given application.
Special arrangements for students with disabilities: please contact the instructor and Services for Students with
Disabilities prior to or during the first week of the term to discuss
accommodations. Students who believe they are eligible for
accommodations but who have not yet obtained approval through DAS
should contact DAS immediately at 7374098.
Course drop/add information is at
http://oregonstate.edu/registrar/.
Student Conduct: All students are expected to obey to OSU’s student
conduct regulations, see
OSU’s Statement of Expectations for Student Conduct
. See also
Academic or Scholarly Dishonesty link.

