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MTH 132: Applied Calculus II
3.00 Credits
University of Rhode Island
Continuation of 131. Topics related to trigonometric functions, integration by parts and partial fractions, partial derivatives, infinite series. Applications to problems such as optimization, probability theory, simple differential equations. (Lec. 3) Pre: 131 or 141 or permission of chairperson. Not for major credit in mathematics. Not open to students with credit or concurrent enrollment in 142.
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MTH 132 - Applied Calculus II
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MTH 141: Introductory Calculus with Analytic Geometry
4.00 Credits
University of Rhode Island
Topics in analytic geometry, functions and their graphs, limits, the derivative, applications to finding rates of change and extrema and to graphing, the integral, and applications. (Lec. 3, Rec. 1) Completion of four units of high school mathematics, including trigonometry, recommended. Pre: passing a placement test. Not open to students with credit or concurrent enrollment in 131. (MQ)
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MTH 141 - Introductory Calculus with Analytic Geometry
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MTH 142: Intermediate Calculus with Analytic Geometry
4.00 Credits
University of Rhode Island
Continues the study of calculus for the elementary algebraic and transcendental functions of one variable. Topics include the technique of integration, improper integrals, indeterminate forms, and calculus using polar coordinates. (Lec. 3, Rec. 1) Pre: 141 or permission of chairperson. Not open to students with credit or concurrent enrollment in 132.
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MTH 142 - Intermediate Calculus with Analytic Geometry
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MTH 208: Mathematics for Elementary School Teachers
3.00 Credits
University of Rhode Island
Selected topics in mathematics central to the elementary school curriculum, including problem solving, number systems, functions and relations, probability and statistics, and geometry. (Lec. 3) Pre: admission to elementary education program and prior completion of general education mathematics requirement. Not open to mathematics majors or mathematics education majors.
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MTH 215: Introduction to Linear Algebra
3.00 Credits
University of Rhode Island
Detailed study of finite dimensional vector spaces, linear transformations, matrices, determinants, and systems of linear equations. (Lec. 3) Pre: 131, 141, or equivalent.
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MTH 215 - Introduction to Linear Algebra
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MTH 243: Calculus for Functions of Several Variables
3.00 Credits
University of Rhode Island
Topics include coordinates for space, vector geometry, partial derivatives, directional derivatives, extrema, Lagrange multipliers, and multiple integrals. (Lec. 3) Pre: 142.
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MTH 243 - Calculus for Functions of Several Variables
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MTH 244: Differential Equations
3.00 Credits
University of Rhode Island
Classification and solution of differential equations involving one independent variable. Applications to the physical sciences. Basic for further study in applied mathematics and for advanced work in physics and engineering. (Lec. 3) Pre: 243.
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MTH 244 - Differential Equations
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MTH 307: Introduction to Mathematical Rigor
3.00 Credits
University of Rhode Island
Introduction to the language of rigorous mathematics: logic, set theory, functions and relations, cardinality, induction, methods of proof. Emphasis on precise written and oral presentation of mathematical arguments. (Lec. 3) Pre: 141.
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MTH 307 - Introduction to Mathematical Rigor
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MTH 316: Algebra
3.00 Credits
University of Rhode Island
Theory and structure of groups. Topics from ring theory, principal ideal domains, unique factorization domains, polynomial rings, field extensions, and Galois theory. (Lec. 3) Pre: 215 and 307.
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MTH 316 - Algebra
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MTH 322: Concepts of Geometry
3.00 Credits
University of Rhode Island
Survey of geometrical systems including non-Euclidean, affine, and projective spaces and finite geometries. A modern view of Euclidean geometry using both synthetic and analytic methods. (Lec. 3) Pre: 215 or permission of instructor.
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MTH 322 - Concepts of Geometry
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