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Undergraduate Bulletin - Loyola Marymount University

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390 / MATHEMATICS<br />

MATH 497<br />

Senior Thesis<br />

3 Semester Hours<br />

This course is intended to provide the student with an<br />

opportunity to complete a substantive research project<br />

under the guidance of a faculty member. The student will<br />

prepare a written report and an oral presentation on the<br />

project at the end of the semester.<br />

Prerequisite: Senior standing and the consent of both the<br />

Chairperson and a faculty thesis advisor.<br />

MATH 498<br />

Special Studies<br />

1-3 Semester Hours<br />

MATH 499<br />

Independent Studies<br />

1-3 Semester Hours<br />

MATH 550<br />

Fundamental Concepts of Geometry<br />

3 Semester Hours<br />

Euclidean and non-Euclidean planar geometries,<br />

axiomatic systems, synthetic and analytic<br />

representations, relationships with algebra, and selected<br />

topics and applications.<br />

Prerequisites: MATH 248 and 250.<br />

MATH 560<br />

Advanced Topics in Probability and Statistics<br />

3 Semester Hours<br />

Material to be covered will be determined by the<br />

instructor. Consult with the instructor for the specific<br />

topics in probability and statistics that will be covered in<br />

any given semester.<br />

Prerequisites: MATH 234 and 360.<br />

MATH 561<br />

Computational Methods in Linear Algebra<br />

3 Semester Hours<br />

Numerical solutions of linear systems of equations, Gauss<br />

elimination and iterative methods, eigenvalues and<br />

eigenvectors.<br />

Prerequisites: CMSI 185 or MATH 282, and MATH 250<br />

or consent of instructor.<br />

MATH 562<br />

Numerical Analysis<br />

3 Semester Hours<br />

Numerical solutions of non-linear equations, interpolation,<br />

numerical differentiation, integration, and solution of<br />

differential equations.<br />

Prerequisites: CMSI 185 or MATH 282, and MATH 245<br />

or consent of instructor.<br />

MATH 568<br />

Mathematical Methods of Operations Research<br />

3 Semester Hours<br />

Linear and dynamic programming, network analysis,<br />

inventory control.<br />

Prerequisite: MATH 360.<br />

MATH 575<br />

Introduction to Orbit Determination<br />

3 Semester Hours<br />

A brief introduction to Banach and Hilbert spaces, the<br />

Projection Theorem, linear minimum variance estimates,<br />

the Kalman filter, variational equations and orbit<br />

determination examples. The final exam is a computer<br />

problem that involves tracking a spacecraft orbiting an<br />

asteroid by means of Doppler measurements.<br />

Prerequisites: MATH 245, 250, and consent of instructor.<br />

MATH 582<br />

Analysis of Algorithms<br />

3 Semester Hours<br />

Design, comparison, and analysis of mathematical<br />

algorithms, including implementation and testing using<br />

Fortran.<br />

Prerequisite: CMSI 185 or MATH 282 or consent of<br />

instructor.<br />

MATH 598<br />

Special Studies<br />

1-3 Semester Hours<br />

MATH 599<br />

Independent Studies<br />

1-3 Semester Hours

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