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MATH 331: REAL ANALYSIS
3.00 Credits
University of Mount Saint Vincent
Calculus of a single real variable, with emphasis on proofs. Axiomaticfoundation of real number system. Rigorous development of Riemann integration. Optionally, Introduction totheory of measure, Fourier analysis. Prerequisites: Calculus III and Linear Algebra I.
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MATH 331 - REAL ANALYSIS
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MATH 341: ABSTRACT ALGEBRA I
3.00 Credits
University of Mount Saint Vincent
The first part of a two semester sequence. An introduction to algebraicstructures with an emphasis on groups, normal subgroups, cosets, Lagrange's Theorem, and the fundamentalhomomorphism theorems. Prerequisites: Linear Algebra I.
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MATH 341 - ABSTRACT ALGEBRA I
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MATH 342: ABSTRACT ALGEBRA II
3.00 Credits
University of Mount Saint Vincent
The second part of a two semester sequence. Further study ofalgebraic structures, such as rings, integral domains, fields. The homomorphism theorem and its applications.Prerequisites: Abstract Algebra I.
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MATH 342 - ABSTRACT ALGEBRA II
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MATH 431: VECTOR CALCULUS
3.00 Credits
University of Mount Saint Vincent
Calculus for vector functions. Line and surface integrals. Theorems ofGauss, Green, and Stokes. Applications in electrostatics, electrodynamics, fluid dynamics. Prerequisite: CalculusIII.
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MATH 431 - VECTOR CALCULUS
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MATH 453: COMPLEX FUNCTIONS (ELECTIVE)
3.00 Credits
University of Mount Saint Vincent
Complex plane and elementary complex functions. Analyticfunctions, Cauchy-Riemann equations, and Cauchy integral theorem. Taylor series, Laurent series, singularities,zeroes, and calculus of residues. Conformal mapping and its applications. Prerequisite: Real Analysis.
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MATH 453 - COMPLEX FUNCTIONS (ELECTIVE)
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MATH 455: PARTIAL DIFFERENTIAL EQUATIONS (ELECTIVE)
3.00 Credits
University of Mount Saint Vincent
Classification of second-order linear partialdifferential equations. The method of separation of variables, the method of Fourier series, and the method ofintegral transforms. General solutions, initial problems, boundary problems, and initial-boundary value problems.Prerequisite: Ordinary Differential equations.
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MATH 455 - PARTIAL DIFFERENTIAL EQUATIONS (ELECTIVE)
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MATH 465: TOPICS IN MATHEMATICS (ELECTIVE)
3.00 Credits
University of Mount Saint Vincent
A special topic will be offered when demand warrants.Participation requires permission by department chairperson.
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MATH 465 - TOPICS IN MATHEMATICS (ELECTIVE)
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MATH 469: INDEPENDENT STUDY (ELECTIVE)
3.00 Credits
University of Mount Saint Vincent
Independent study and/or research under faculty guidance.Requires approval of chair person.
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MATH 469 - INDEPENDENT STUDY (ELECTIVE)
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NSCI 100: CORE: TOPICS IN NATURAL SCIENCE - GREAT DISCOVERIES IN SCIENCE
3.00 Credits
University of Mount Saint Vincent
A study of the discoveries that have provided the foundation for biology, chemistry and physics. The great discoveries will start with the Greek philosophers and span up to the 21st century. Three lectures. 3 credits
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NSCI 100 - CORE: TOPICS IN NATURAL SCIENCE - GREAT DISCOVERIES IN SCIENCE
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NSCI 100: CORE: TOPICS IN NATURAL SCIENCE - GREAT DISCOVERIES IN SCIENCE
3.00 Credits
University of Mount Saint Vincent
A study of thediscoveries that have provided the foundation for biology, chemistry and physics. The great discoveries will startwith the Greek philosophers and span up to the 21st century. Three lectures.
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NSCI 100 - CORE: TOPICS IN NATURAL SCIENCE - GREAT DISCOVERIES IN SCIENCE
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