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MATHEMATICS 4181: Senior Seminar
3.00 Credits
University of St Thomas
Written and oral analysis and presentations by students on topics from mathematics. Student research projects. Prerequisite: MATH 3181 or permission of departmental chair. Fall, Spring.
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MATHEMATICS 4181 - Senior Seminar
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MATHEMATICS 4182: Senior Project I
3.00 Credits
University of St Thomas
Undergraduate research under faculty supervision. Selection and completion of a written thesis, culminating in a departmentally approved report. The research topic and required senior thesis must be approved by a committee of three faculty members. May be taken in place of Junior Seminar (MATH 3181) to meet core requirements. Students may not receive credit for both MATH 3181 and MATH 4182. Prerequisites: Senior standing and permission of departmental chair.
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MATHEMATICS 4182 - Senior Project I
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MATHEMATICS 4183: Senior Project II
3.00 Credits
University of St Thomas
Continuation of MATH 4182. May be taken in place of Senior Seminar (MATH 4181) to meet mathematics graduation requirements. May be taken concurrently with MATH 4182 with permission of chair. Students may not receive credit for both MATH 4181 and MATH 4183. Prerequisites: Senior standing and permission of departmental chair.
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MATHEMATICS 4183 - Senior Project II
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MATHEMATICS 4192 ,4292, 4392 ,4492: Directed Reading/Independent Study in Mathematics
3.00 Credits
University of St Thomas
Student research on a selected problem in the field pursued under the guidance of an assigned member of the faculty. Prerequisite: permission of departmental chair.
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MATHEMATICS 4192 ,4292, 4392 ,4492 - Directed Reading/Independent Study in Mathematics
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MATHEMATICS 4193 ,4293, 4393 ,4493: Special Topics in Mathematics
3.00 Credits
University of St Thomas
Upper-division treatment of selected topics of mutual interest to the faculty member and students. Prerequisite: Permission of departmental chair.
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MATHEMATICS 4193 ,4293, 4393 ,4493 - Special Topics in Mathematics
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MATHEMATICS 4329: Number Theory
3.00 Credits
University of St Thomas
Properties of numbers, Euclid s Algorithm, greatest common divisors, diophantine equations, prime numbers, congruences, number theoretic functions, the quadratic reciprocity laws, primitive roots and indices. Prerequisite: MATH 2340 or permission of departmental chair. Spring.
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MATHEMATICS 4329 - Number Theory
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MATHEMATICS 4331: Real Analysis I
3.00 Credits
University of St Thomas
Introduction to concepts and methods basic to real analysis. Topics such as the real number system, sequences, continuity, uniform continuity, differentiation, infinite series and integration. Prerequisite: Math 2340 with a grade of "C" or better. Fall.
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MATHEMATICS 4331 - Real Analysis I
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MATHEMATICS 4332: Real Analysis II
3.00 Credits
University of St Thomas
Continuation of Math 4331 covering such topics as uniform convergence and functions of several variables. Strongly recommended for students planning to enter graduate school or secondary teaching and those interested in applied mathematics. Prerequisite: MATH 4331 with a grade of òCó or better orpermission of departmental chair. Spring.
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MATHEMATICS 4332 - Real Analysis II
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MATHEMATICS 4335: Topology
3.00 Credits
University of St Thomas
The basics of point-set topology. Open and closed sets, limit points, topological spaces, countability, compactness, connectedness, metrics and metric topologies. Prerequisite: A grade of òCó or higher in MATH 2340 orpermission of departmental chair. Spring.
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MATHEMATICS 4336: Complex Analysis
3.00 Credits
University of St Thomas
Calculus of a function of a complex variable. Prerequisite: MATH 2340 or permission of Departmental Chair. Spring.
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MATHEMATICS 4336 - Complex Analysis
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