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MTH 362: Advanced Engineering Mathematics I
3.00 Credits
University of Rhode Island
Algebra of complex numbers, matrices, determinants, quadratic forms. Linear differential equations with constant coefficients. Partial differential equations. (Lec. 3) Pre: 142. Not for major credit in mathematics.
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MTH 362 - Advanced Engineering Mathematics I
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MTH 381: History of Mathematics
3.00 Credits
University of Rhode Island
General survey course in development and philosophy of mathematics. Provides a cultural background and foundation for advanced study in various branches of the subject. (Lec. 3) Pre: 142 or equivalent.
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MTH 381 - History of Mathematics
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MTH 382: Number Theory
3.00 Credits
University of Rhode Island
Some of the arithmetic properties of the integers including number theoretic functions, congruences, diophantine equations, quadratic residues, and classically important problems. (Lec. 3) Pre: 141 or permission of instructor.
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MTH 382 - Number Theory
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MTH 391: Special Problems
1.00 - 3.00 Credits
University of Rhode Island
Advanced work under the supervision of a faculty member and arranged to suit the individual requirements of the student. (Independent Study) Pre: permission of chairperson.
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MTH 391 - Special Problems
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MTH 393: Undergraduate Seminar
1.00 Credits
University of Rhode Island
Preparation and presentation of selected topics in oral and written form. (Seminar) Pre: permission of chairperson.
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MTH 393 - Undergraduate Seminar
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MTH 418: Matrix Analysis
3.00 Credits
University of Rhode Island
Canonical forms, functions of matrices, characteristic roots, applications to problems in physics and engineering. (Lec. 3) Pre: 215 or 362 or permission of instructor.
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MTH 418 - Matrix Analysis
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MTH 420: Re-examining Mathematical Foundations for Teachers
3.00 Credits
University of Rhode Island
Connects ideas covered in upper level math courses to topics taught in secondary school. Designed for teachers. (Lec. 3) Pre: 316 or permission.
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MTH 420 - Re-examining Mathematical Foundations for Teachers
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MTH 425: Topology
3.00 Credits
University of Rhode Island
Abstract topological spaces and continuous functions. Generalizations of some classical theorems of analysis. (Lec. 3) Pre: 243 and 307, or permission of instructor or chairperson.
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MTH 425 - Topology
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MTH 435: Introduction to Mathematical Analysis I
3.00 Credits
University of Rhode Island
Sets and functions, real topology, continuity and uniform continuity, derivatives, the Riemann integral, improper integrals. Detailed proofs emphasized. (Lec. 3) Pre: 243; 307 is strongly recommended.
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MTH 435 - Introduction to Mathematical Analysis I
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MTH 436: Introduction to Mathematical Analysis II
3.00 Credits
University of Rhode Island
Sequences and series of functions, implicit and inverse function theorems, topology of Euclidean space, transformation of multiple integrals. Detailed proofs emphasized. (Lec. 3) Pre: 435.
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MTH 436 - Introduction to Mathematical Analysis II
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