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MATHEMATICS 432: Modern Algebra II
3.00 Credits
Saint Joseph's College of Maine
This course is that portion of Abstract Algebra that studies elementary ring theory including ideals and quotient rings. It follows with a study of field theory and closes with a look at rings of polynomials and extension fields. Prerequisite: MTH 431 or consent of instructor.
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MATHEMATICS 432 - Modern Algebra II
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MATHEMATICS 437: Theory of Numbers
3.00 Credits
Saint Joseph's College of Maine
This course treats the elementary properties of integers. It studies divisibility of integers, Euclid's Algorithm, solutions to Diophantine Equations, prime numbers, congruencies and quadratic residues.
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MATHEMATICS 437 - Theory of Numbers
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MATHEMATICS 439: Numerical Analysis
3.00 Credits
Saint Joseph's College of Maine
This course develops algorithms involving iteration to approximate solutions to various kinds of problems. It studies finite differences, interpolating polynomials for numerical differentiation and integration, as well as the solution of equations and differential equations. The hand calculator and personal computer are the normal tools for this course. Prerequisite: MTH 126 or consent of the instructor.
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MATHEMATICS 439 - Numerical Analysis
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MATHEMATICS 441: Historical Perspectives in Mathematics
3.00 Credits
Saint Joseph's College of Maine
This course, the capstone, is a seminar on historical topics from the great theorems and thinkers of mathematics. Students make oral and written presentations from their independent, though not necessarily original, research. Portfolios are to be kept by each student. Prerequisite: Junior or Senior Math major or consent of the instructor.
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MATHEMATICS 441 - Historical Perspectives in Mathematics
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MATHEMATICS 445: Real Analysis
3.00 Credits
Saint Joseph's College of Maine
This course is a modern, topological approach to real analysis. It deals with the concepts of bounded sets; convergence of sequences and sub-sequences of real numbers; continuous functions on metric spaces; open and closed sets; connectedness, completeness, and compactness; Riemann integrals and derivatives; law of the mean; fundamental theorems of calculus; and improper integrals. Prerequisite: MTH 235 or consent of the instructor.
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MATHEMATICS 445 - Real Analysis
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MATHEMATICS 446: Topics In Mathematics
3.00 Credits
Saint Joseph's College of Maine
Students with demonstrated skills and background may select, with a designated professor, topics to be studied during a semester. Topics might be chosen from such subjects as vector analysis, complex variables, cryptology, fractals, chaos theory, or even actuarial studies, including the SPSS statistical computer package. Prerequisite: consent of the instructor.
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MATHEMATICS 446 - Topics In Mathematics
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MUSIC 010: Synthesis of Music History I
1.00 Credits
Saint Joseph's College of Maine
(Summers only)
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MUSIC 010 - Synthesis of Music History I
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MUSIC 011: Synthesis of Music History II
1.00 Credits
Saint Joseph's College of Maine
(Summers only)
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MUSIC 011 - Synthesis of Music History II
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MUSIC 012: Synthesis of Music History III
1.00 Credits
Saint Joseph's College of Maine
(Summers only)
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MUSIC 012 - Synthesis of Music History III
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MUSIC 013: Music Fundamentals
3.00 Credits
Saint Joseph's College of Maine
Music Fundamentals
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MUSIC 013 - Music Fundamentals
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