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MATH 471: Topology
3.00 Credits
Loyola Marymount University
3 Semester Hours An introduction to metric and topological spaces; continuity and homeomorphism; separation properties; connectivity and compactness; examples and applications. Prerequisite: MATH 321.
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MATH 471 - Topology
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MATH 473: Differential Geometry
3.00 Credits
Loyola Marymount University
3 Semester Hours Curves, parameterizations, and arc length; surfaces, differentiable functions, and the fi rst fundamental form (area); the Gauss map; isometries, Gauss' Theorema Egregium, geodesics, and the Gauss-Bonnet theorem. Prerequisites: MATH 234 and 250.
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MATH 473 - Differential Geometry
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MATH 490: History of Mathematics
3.00 Credits
Loyola Marymount University
3 Semester Hours The development of mathematics from historical and cultural viewpoints, including both European and non-European roots of mathematics as well as contributions by women. Prerequisite: MATH 248.
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MATH 490 - History of Mathematics
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MATH 491: Senior Mathematics Seminar
3.00 Credits
Loyola Marymount University
3 Semester Hours Topics in mathematics chosen by the instructor. Written and oral presentations are required.
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MATH 491 - Senior Mathematics Seminar
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MATH 493: Senior Seminar for Future Mathematics Educators
3.00 Credits
Loyola Marymount University
3 Semester Hours Topics in high school mathematics are examined from an advanced standpoint by developing and exploring extensions and generalizations of typical high school problems, by making explicit connections between these problems and upper division mathematics courses, and by providing historical context. Current issues in secondary mathematics education will be investigated. Written and oral presentations are required. Senior standing or consent of instructor required.
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MATH 493 - Senior Seminar for Future Mathematics Educators
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MATH 495: Mathematical Modeling
3.00 Credits
Loyola Marymount University
3 Semester Hours Introduction to various modeling techniques, design and implementation of algorithms, organization and presentation of results, introduction to problem solving using computer algebra systems. Written and oral presentations are required. Senior standing or consent of instructor required.
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MATH 495 - Mathematical Modeling
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MATH 497: Senior Thesis
3.00 Credits
Loyola Marymount University
3 Semester Hours This course is intended to provide the student with an opportunity to complete a substantive research project under the guidance of a faculty member. The student will prepare a written report and an oral presentation on the project at the end of the semester. Senior standing and the consent of both the Chairperson and a faculty thesis advisor required.
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MATH 497 - Senior Thesis
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MATH 498: Special Studies
1.00 - 3.00 Credits
Loyola Marymount University
1-3 Semester Hours
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MATH 498 - Special Studies
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MATH 499: Independent Studies
1.00 - 3.00 Credits
Loyola Marymount University
1-3 Semester Hours
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MATH 499 - Independent Studies
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MATH 511: Mathematics and Gender Issues
3.00 Credits
Loyola Marymount University
3 Semester Hours Historical and current gender issues in mathematics examined through 1) the lives and mathematical work of women mathematicians from the 4th to the 21st centuries and 2) equity issues in K-12 mathematics education and math-related careers. Mathematical topics include prime numbers, conic sections, functions, sequences and series, polyhedra and group theory. Prerequisites: MATH 107 and 111 or 112 or 120 or 122 or 131 or consent of instructor.
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MATH 511 - Mathematics and Gender Issues
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