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MATHEMATICS 235: Calculus III
3.00 Credits
Saint Joseph's College of Maine
This course continues the calculus sequence. A main thrust is its opening in-depth study of infinite sequences and series, including power series, Taylor series and Taylor polynomials. Conic sections, parametric equations and polar coordinates-together with whatever review is required-are studied as they relate to calculus concepts. Vector theory and the geometry of space are also treated. Prerequisite: MTH 126 or department approval.
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MATHEMATICS 235 - Calculus III
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MATHEMATICS 236: Calculus IV
3.00 Credits
Saint Joseph's College of Maine
This concluding portion of the calculus sequence begins with a brief review of vectors followed by a pursuit of vector-valued functions. Functions of several variables, with their attendant partial derivatives, extrema, and multiple integration with applications are studied. The directional derivative, tangent planes and normal lines follow from the vector considerations. Prerequisite: MTH 235 or department approval.
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MATHEMATICS 236 - Calculus IV
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MATHEMATICS 244: Linear Algebra
3.00 Credits
Saint Joseph's College of Maine
This course studies linear transformations and linear algebras, including the study of solutions to systems of linear equations. It treats the theory of matrices leading to the theory of vector spaces over a field. It studies the operations on matrices, including determinants, and uses these concepts in a variety of applications. Prerequisite: MTH 125 or consent of the instructor.
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MATHEMATICS 244 - Linear Algebra
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MATHEMATICS 333: Geometry
3.00 Credits
Saint Joseph's College of Maine
This course is a critical examination of the foundations of plane geometry, using an axiomatic approach. It includes the study of both Euclidean and non-Euclidean geometries. Proofs are emphasized.
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MATHEMATICS 333 - Geometry
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MATHEMATICS 336: Differential Equations
3.00 Credits
Saint Joseph's College of Maine
This course studies differential equations from a practical viewpoint. It combines the formal exercises of integrating the various standard types of differential equations with the setting-up of equations for problems from the natural sciences. Prerequisite: MTH 126 or equivalent.
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MATHEMATICS 336 - Differential Equations
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MATHEMATICS 341: Probability
3.00 Credits
Saint Joseph's College of Maine
This course is an introduction to probabilistic models and the theory of probability. It includes the study of conditional probability, random variables of one, two and higher dimensions, as well as some characterizations of discrete and continuous random variables. Prerequisite: MTH 125 or consent of the instructor.
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MATHEMATICS 341 - Probability
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MATHEMATICS 342: Statistics
3.00 Credits
Saint Joseph's College of Maine
This course presents an introduction to inferential statistics beginning with a brief overview of descriptive statistics and probability, including discrete and continuous distributions, and the central limit theorem. The main emphasis is on estimation, hypothesis testing, and selected tests for small samples. It culminates in analyses of variance and bivariate data with correlation and linear regression. Prerequisite: MTH 125 or consent of the instructor.
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MATHEMATICS 342 - Statistics
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MATHEMATICS 355: Independent Study
1.00 - 3.00 Credits
Saint Joseph's College of Maine
Independent Study
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MATHEMATICS 355 - Independent Study
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MATHEMATICS 390: Internship
3.00 - 9.00 Credits
Saint Joseph's College of Maine
Internship
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MATHEMATICS 390 - Internship
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MATHEMATICS 431: Modern Algebra
3.00 Credits
Saint Joseph's College of Maine
This course is that portion of Abstract Algebra that studies elementary group theory. It considers the properties of groups, subgroups, and functions; this leads to groups of permutations and groups isomorphic to them. Homomorphisms of groups along with the induced quotient groups culminate in the Fundamental Homomorphism Theorem; this rounds out the course.
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MATHEMATICS 431 - Modern Algebra
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