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MTH 361: Modern Geometry
3.00 Credits
Le Moyne College
Topics from the foundations of geometry, non-Euclidean geometry, transformation theory, dissection theory, convexity. Prerequisite: Mathematics & Computer Science three semesters of mathematics or permission of the department chair. (Offered every other fall.)
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MTH 361 - Modern Geometry
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MTH 370: Intermediate Problem Solving
3.00 Credits
Le Moyne College
A working introduction to general heuristic reasoning (including specialization, generalization, analogy and induction) useful in solving mathematical problems. Prerequisite: MTH 245 or permission of the department chair. (Offered every other spring.)
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MTH 370 - Intermediate Problem Solving
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MTH 390-399: Independent Study
3.00 Credits
Le Moyne College
A student who wishes to pursue an independent study project for academic credit must submit, prior to registration, a proposed plan of study that includes the topic to be studied and goal to be achieved, the methodology to be followed, schedule of supervision, end product, evaluation procedure and number of credits sought. The proposal must be approved by the supervising faculty member, the department chair and the dean of arts and sciences. It will be kept on file in the dean’s office.
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MTH 390-399 - Independent Study
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MTH 421: Numerical Analysis
3.00 Credits
Le Moyne College
The development of algorithms for and error analysis of: solutions of equations, interpolation and approximation, numerical differentiation and integration, numerical solutions of differential equations. Prerequisites: MTH 245; MTH 261 also, knowledge of a high level programming language or permission of the department chair. (Offered every other fall.)
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MTH 421 - Numerical Analysis
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MTH 431: Introduction to Complex Analysis
3.00 Credits
Le Moyne College
The complex number system. Differenti-ability and the Cauchy- Riemann conditions. The exponential, trigonometric and logarithm functions. Complex integration; the Cauchy integral theorem and its implications. Consequences of the Cauchy integral formula. Taylor and Laurent series, singularities. Prerequisite: MTH 245 or permission of the department chair.
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MTH 431 - Introduction to Complex Analysis
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MTH 470-479: Topics in Mathematics
3.00 Credits
Le Moyne College
These courses will vary in content and will be offered irregularly depending on student interest and faculty availability. The following titles apply for MTH 470-475:
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MTH 470-479 - Topics in Mathematics
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MTH 481: Topology
3.00 Credits
Le Moyne College
Topological spaces; separation and countability properties. Mappings and continuity. Compactness and connectedness of various types. Product and quotient spaces. Prerequisite: MTH 332 or permission of the department chair.
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MTH 481 - Topology
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MTH 490: Internship
3.00 Credits
Le Moyne College
A limited number of internships are available to students to provide them with practical experience in the applications of mathematics in business. Prerequisites: Senior standing in mathematics and prior consultation with department chair.
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MTH 490 - Internship
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MTH 495: Senior Research Project
3.00 Credits
Le Moyne College
This course, exclusively for senior mathematics majors, involves the completion and presentation of a research project in the student’s area of concentration. Prior to registration for the course, a student must submit a proposal and have it approved by the department chair. Students may work in teams of two or three on projects; however, team projects will require commensurably greater scope than individual projects.
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MTH 495 - Senior Research Project
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MTH 496-499: Research
3.00 Credits
Le Moyne College
An upper-class student who wishes to undertake a research project for academic credit during a given semester must submit a research proposal prior to registration and a research report at the end of the semester. The proposal, indicating the number of credits sought, must be approved by the research director, the department chair and the dean of arts and sciences. It will be kept on file in the dean of arts and sciences’ office.
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MTH 496-499 - Research
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