MATH 435: Numerical Analysis II
Credit hours (3)
Prerequisites: MATH 434
Pre- or Corequisites: MATH 346
Introduction to scientific programming, numerical solutions nonlinear equations and
problems from linear algebra, interpolation, numerical integration, and numerical
methods for differential equations.
Note(s): Applied Learning designated course.
Detailed Description of Course
The first part of this course typically covers:
1) Programming using MATLAB, MAPLE or other programming environments.
2) Floating point arithmetic.
3) Solution of non-linear equations, Newton's method, secant method, and other
iterative schemes.
4) Linear systems of equations, matrix factorizations.
5) Interpolation.
6) Least squares approximation.
7) Eigenvalue computation.
The second part typically covers:
1) Numerical differentiation.
2) Numerical integration, including Newton-Cotes formulas, adaptive quadrature,
and Gaussian quadrature
3) Numerical methods for differential equations, including Euler's method, Runge-Kutta
methods, boundary value problems, and methods for partial
differential equations.
4) Selected additional topics, such as fast Fourier transform, numerical optimization,
random number generators, and stochastic differential
equations.
Detailed Description of Conduct of Course
This course will contain an introduction to scientific computing; the particular software
used will vary among instructors. Most instructors will use the lecture method, with
some classes being taught in the computer lab.
Goals and Objectives of the Course
Acquire a working knowledge of algorithms and modern computer software for approximating
solutions of scientific computing problems.
Assessment Measures
The assessment measures will vary among instructors and may include in-class examinations,
homework assignments, computer projects, and performance in class and in laboratory
activities.
Other Course Information
Students who plan to work in an applied science need exposure to and hands-on experience
with methods and computer software that is applicable to many of the general problems
they will encounter. Math 434:435 is intended to be the sequence that provides this
exposure and experience.
Review and Approval
November 17, 2015
March 2009
September 2001
March 01, 2021