Instructor:
Dr. Chung-Chu Teng; office hours are by appointment
Rm 353E, Bldg. 1100, SSC
(228)
688-7101
cteng@noaa.gov
Time:
8:30 a.m. - 10:30 a.m. Friday
Place:
Bldg. 8100
Course
objective: To provide a basic understanding
of mathematical and statistical concepts needed
for succeeding in hydrographic science.
Course
description: This course provides introduction
and review of the mathematics and statistics
necessary for field hydrographers. Topics covered
in this course include linear algebra, probability,
statistics, covariance and propagation, least
squares methods and adjustments, error propagation,
random processes, linear systems and filtering,
etc. Practical and hands-on experience on the
above topics are emphasized and conducted using
the modern computing environment and package
MATLAB. Basic operations of MATLAB is introduced
at the beginning of the course.
Course
outline:
•
MATLAB programming
•
Linear algebra: vectors, matrices, linear equations,
elimination and decomposition, Eigen values
and vectors.
•
Probability: random variables, discrete and
continuous probability, descriptive measures
of probability functions, normal distribution,
multi-variate probability distribution
•
Statistics: Frequency distribution, data description
(measures of central tendency, dispersion, and
distribution shapes), sampling and sampling
distributions, Chi-square and t distributions,
estimations, confidential intervals, hypothesis
testing
•
Errors, error propagation, linearization
•
Variance and covariance, variance and covariance
matrix, covariance propagation
•
Least squares Techniques: Principles of least
squares, least squares adjustments, the concept
of weight, the dual problem, least squares for
regression
•
Random processes and Fourier analysis: random
processes, Fourier series and integrals, discrete
Fourier transform, spectral analysis, aliasing
Instructor:
Dr. Chung-Chu Teng; office hours are by appointment