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MTH 324: Real Analysis II
3.00 Credits
Providence College
1 semester, 3 credits A continuation of MTH 323. Riemann integral, fundamental theorem of calculus, sequences and series of functions, topology of Euclidean space, differentiation and integration in Euclidean space, inverse function theorem. Prerequisite: MTH 323.
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MTH 324 - Real Analysis II
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MTH 331: Graph Theory
3.00 Credits
Providence College
1 semester, 3 credits An introduction into the fundamental techniques and basic concepts of graph theory.Topics include enumeration, connectivity, colorability, traversability, and external problems.
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MTH 331 - Graph Theory
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MTH 390-391: Independent Study in Mathematics
3.00 Credits
Providence College
1 semester, 3 credits An area of mathematics that is of interest to the student is pursued under the direction of a faculty member. Prerequisite: Permission of instructor.
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MTH 390-391 - Independent Study in Mathematics
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MTH 395-396: Research
3.00 Credits
Providence College
2 semesters, 3 credits each In this course, the student has the opportunity to investigate in detail an area or topic in mathematics. Both the topic and instructor(s) should be selected by the student. Prerequisite: Permission of the instructor(s) whose guidance is sought.
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MTH 395-396 - Research
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MTH 409: Introduction to General Topology
3.00 Credits
Providence College
1 semester, 3 credits The axiom of Choice and its equivalences,metric and topological spaces, compactness, connectedness, separation, continuous maps and their invariants, the structure of C(X,R), the Stone-Cech Compactification, and the Stone-Weierstrass Approximation theorems. Prerequisites: MTH 324 and permission of the instructor.
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MTH 409 - Introduction to General Topology
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MTH 410: Introduction to Functions of a Complex Variable
3.00 Credits
Providence College
1 semester, 3 credits The structure of the complex field, differentiation, the line integral and its applications, series, and conformal mappings are studied. Prerequisites: MTH 223 and permission of the instructor.
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MTH 410 - Introduction to Functions of a Complex Variable
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MTH 417: Topics in Applied Mathematics
3.00 Credits
Providence College
2 semesters, 3 credits each Selected topics in advanced calculus and applied mathematics, including topics in partical differential equation, Fourier series, probability, and numerical methods. Prerequisite: MTH 223.
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MTH 417 - Topics in Applied Mathematics
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MTH 423-424: Probability Theory and Mathematical Statistics I and II
3.00 Credits
Providence College
2 semesters, 3 credits each An introduction to probability theory and mathematical statistics. Includes a discussion of various probability distributions and their moments, limit theorems, classical and Bayesian inference and estimation, regression, correlation, and non-parametric methods. Prerequisite: MTH 223.
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MTH 423-424 - Probability Theory and Mathematical Statistics I and II
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MTH 435: History of Mathematics
3.00 Credits
Providence College
1 semester, 3 credits An introduction to the history of mathematics, beginning with the origin of mathematics in the great civilizations of antiquity and continuing thru 17th century Europe. Prerequisite: One year of calculus.
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MTH 435 - History of Mathematics
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MTH 440: Numerical Analysis I
3.00 Credits
Providence College
1 semester, 3 credits Applications of the digital computer to solutions of problems. Topics included are solutions to non-linear equations, polynomial interpolation and approximation, numerical differentiation and integration, and curve fitting. Same as CSC 440. Prerequisite: MTH 110 or 132.
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MTH 440 - Numerical Analysis I
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