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MATH 463: Academic Internships in Mathematics (3).
3.00 Credits
Winthrop University
Description: An opportunity for mathematics majors to earn credit for experience gained through apprenticeship work under the supervision of trained professionals. Notes: Offered in fall, spring and summer. Prerequisites: Math majors only with a GPA of at least 2.5 and prior approval from the department and Dean.
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MATH 463 - Academic Internships in Mathematics (3).
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MATH 470: Directed Student Research in Mathematics (0-3).
3.00 Credits
Winthrop University
Description: An in-depth examination of a particular topic in undergraduate mathematics under the guidance of a faculty mentor. Prerequisite(s): 18 hours of MATH courses and permission of chair or instructor.
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MATH 470 - Directed Student Research in Mathematics (0-3).
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MATH 470H: Directed Student Research in Mathematics (0-3).
3.00 Credits
Winthrop University
Description: An in-depth examination of a particular topic in undergraduate mathematics under the guidance of a faculty mentor. Prerequisite(s): 18 hours of MATH courses and permission of chair or instructor.
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MATH 470H - Directed Student Research in Mathematics (0-3).
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MATH 471: Undergraduate Research in Mathematics (1-3).
1.00 - 3.00 Credits
Winthrop University
Description: An in-depth examination of a particular topic in undergraduate mathematics. Prerequisite: 18 hours of MATH courses and permission of chair or instructor.
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MATH 471 - Undergraduate Research in Mathematics (1-3).
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MATH 471H: Undergraduate Research in Mathematics (1-3).
1.00 - 3.00 Credits
Winthrop University
Description: An in-depth examination of a particular topic in undergraduate mathematics. Prerequisite: 18 hours of MATH courses and permission of chair or instructor.
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MATH 471H - Undergraduate Research in Mathematics (1-3).
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MATH 505: Partial differential equations (3).
3.00 Credits
Winthrop University
Description: The study of parabolic, hyperbolic, and elliptic partial differential equations that arise in diffusion, wave, and potential theory. Topics include the study of initial and boundary value problems, separation of variables, Fourier series, Sturm-Liouville problems, and nonhomogeneous conditions. Prerequisites: MATH300, MATH301 and MATH305; or instructor permission.
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MATH 505 - Partial differential equations (3).
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MATH 511: Functional Analysis (3).
3.00 Credits
Winthrop University
Description: Students in this course will extend the methods of analysis from the real line to general vector spaces. Topics of study include normed vector spaces, operators on Hilbert spaces, and Banach spaces. Prerequisite: MATH 311. Notes: Offered fall and spring.
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MATH 511 - Functional Analysis (3).
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MATH 513: Complex Analysis (3).
3.00 Credits
Winthrop University
Description: The study of complex numbers and their properties, complex functions and mappings, differentiability and analyticity, integration in the complex plane, and associated fundamental theorems. Prerequisite: MATH 301 or instructor permission.
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MATH 513 - Complex Analysis (3).
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MATH 520: Foundations of Geometry (3).
3.00 Credits
Winthrop University
Description: Topics in Euclidean and non-Euclidean geometry, including incidence geometry, congruence, similarity, area theorems, circles and spheres. Notes: Offered in spring. Prerequisites: MATH 310 or graduate status.
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MATH 520 - Foundations of Geometry (3).
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MATH 541: Probability and Statistics I (3).
3.00 Credits
Winthrop University
Description: A calculus-based investigation of probability theory and statistics. The study will include discrete, continuous, marginal, conditional, and sampling distributions, the central limit theorem, analysis of variance, and nonparametric tests. Notes: Offered in spring. Prerequisites: MATH 301 and MATH 341 or permission of department chair for graduate students.
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MATH 541 - Probability and Statistics I (3).
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