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Course Criteria
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3.00 Credits
Preparation for the Putnam Exam, an annual math competition held in December. Topics include general problem-solving strategies and previous exam problems which typically integrate knowledge from different areas of mathematics. May be repeated for credit.
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1.00 Credits
Problem-solving methods in higher mathematics, with an emphasis on how different strategies are used across different areas of math. May be repeated for credit.
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3.00 - 4.00 Credits
A variety of off-campus learning opportunities can be arranged through the director of internships. The off-campus internship is an individually designed experience that allows the student to explore the relationship between learning in the classroom and the practical application of knowledge in everyday work situations. Prerequisites: Admission to the Internship Program and approval of the academic adviser and department chair. (See "Internships" under "AcademiPolicies" section.) Credit/No credit grading.
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3.00 Credits
Solution methods for basic partial differential equations, with a detailed study of the heat and wave equations. Topics include Fourier series solutions, integral transform methods, numerical methods for elliptic, parabolic, and hyperbolic equations. Prerequisite: MATH 312; or MATH 152 and permission of the instructor.
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3.00 Credits
Topics may include the following: Permutations, combinations, partitions, counting principles, generating functions, partially ordered sets, designs and codes, graphs and trees, planarity, networks, Hamiltonian cycles, Eulerian tours, combinatorial designs, games of complete information, asymptotic methods, combinatorial existence theorems, and Ramsey theory. Prerequisites: MATH 281 or permission of the instructor.
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3.00 Credits
Complex numbers and functions, differentiability, integration, Cauchy theory, power series, and analytic continuation. Prerequisite: MATH 281.
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3.00 Credits
Topological spaces, separation axioms, compactness and connectedness, continuity, metrizability, an introduction to algebraic topology. Prerequisite: MATH 281.
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4.00 Credits
An in-depth study of an important field in applied mathematics. A detailed course description will be available in the online "Schedule of Classes" before registration. Maybe repeated for credit if the topic is not repetitive. Prerequisite: Consent of the instructor.
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3.00 Credits
A rigorous study of an important field of theoretical mathematics. A detailed course description will be available in the online "Schedule of Classes" before registration. Maybe repeated for credit if the topic is not repetitive. Prerequisite: Consent of the instructor.
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1.00 - 3.00 Credits
The St. Mary's Project in mathematics is one of the culminating experiences in the mathematics major. It usually is completed in the two semesters of the student's senior year. The project draws on and extends knowledge, analytical skills, and creative thought developed through previous work in an area or areas of mathematics or mathematics education. Usually, it is initiated by the student; however, the student may peruse lists of project ideas developed by the mathematics faculty or draw on other sources. The student shall select a faculty mentor and a topic with the advice of the department chair. A project proposal must be submitted, identifying the area to be explored and the methods of inquiry to be used. While working on the project, the student should learn a significant amount of mathematics beyond that learned in previous course work. Upon completion, the project shall be presented to the public in a way agreed upon by the student, the mentor, and the department chair. Prerequisite: Consent of mentor and department chair. Majors, Minors, Other Programs of Study, Course Descriptions
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