Engineering Mathematics III.
Math 353 Section 12, Fall 2008.
Instructor:
Dorjsuren. Badamdorj (Dorj).
Office:
432 Ewing Hall
Email
and Phone : badamdor@math.udel.edu /831-0588
Class
web page::
http://www.math.udel.edu/~badamdor/Math353F08.html
Office
Hours:
Monday and Wednesday 12:00 pm - 2:00 pm, or by appointment.
Lectures:
MWF 2:30 pm - 3:20 am, 207 Ewing Hall.
Course Description:
Numerical Methods in engineering,
linear and non-linear equations,
numerical solution of ordinary
differential equations, boundary value problems,
finite differences, diffusion and
applications to engineering problems with MatLab programming.
All detailed information about this
course can be found in hand out Syllabus.
Lecture hand outs:
Mathematical
Preliminaries.
MatLab Command Summary.
Numerical
Differentiation.
RootFinding
Systems of equations.
Interpolation
and Least Squares
Numerical Integration
Initial Value Problem (ODE)
BoundaryValueProblem (ODE)
Matlab Codes:
Introduction.
Numerical Differentiation: centered
bestapproximation
Root Finding: Bisection
Regula-Falsi FPI Newton
Systems of Equations: LUfactor
GaussE
Jacobi
GaussSeidel
SOR
FPI/Seidelmulti
Interpolation and LeastSquares: DividedDifference
PolynomialInterpolation
PolynomialLeastSquares
Non-linearLeastSquares
Integration: CompositeTrapezoidal/Simpson's
MidpointRule
Initial Value Problem (First order ODE): DirectionalField
EulerMethod GlobalError
Taylor(2,4)
Runge-Kutta(onestep)
Systems of ODE and higher order equations: Example6.13
Example
2. Example3.
Example4.
BVP: LinearShootingMethod
Non-LinearShootingMethod
LinearFiniteDifference
Projects: Project 1.
Project 2.
Homework
Assignments:
Homework 1.
(Solution)
Homework 6. (Solution)
Homework 2.
(Solution)
Homework 7. (Solution)
Homework 3.
(Solution)
Homework 8.
(Solution)
Homework 4.
(Solution)
Homework 9.
Homework 5.
(Solution)
Practice
Exams for Midterms:
Practice Exam 1.
Practice
Exam 2.
Midterm
Exams:
Midterm
1. (solutions)
Midterm 2.
(solutions)
MatLab help links:
MatLab
Tutorial , courtesy of Tobin
Driscoll
Mathworks
help.