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  • M 151: Calculus I

    4.00 Credits
    Saint Mary's University of Minnesota

    4 credits This course provides an introduction to the differential and integral calculus. Topics include: the concepts of function, limit, continuity, derivative, definite and indefinite integrals, and an introduction to transcendental functions. Credit will not be granted for this course and M308 or M309. Prerequisites: M115 and M116, or departmental placement.
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  • M 152: Calculus II

    4.00 Credits
    Saint Mary's University of Minnesota

    4 credits This course is a continuation of M151. Some of the topics of M151 are revisited at a higher mathematical level. Topics include: limits, differentiation, applications of the definite integral, inverse trigonometric functions, techniques of integration, improper integrals, indeterminate forms, numerical methods for integration and approximation, curves in the plane given parametrically, polar coordinates, and vectors in 2-space and 3-space. Prerequisite: Minimum grade of C in M151 or departmental placement.
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  • M 201: Survey of Advanced Mathematics

    1.00 Credits
    Saint Mary's University of Minnesota

    1 credit This course is designed for outstanding freshman calculus students. It offers them an introduction to mathematical concepts normally reserved for upper division courses. Sample topics include: fundamentals of axiomatic systems; great theorems of number theory; non-Euclidean geometry; Cantor's theory of transfinite numbers and the nondenumerability of the continuum; Godel's incompletenesstheorem; basic topology; surprising aspects of probability and statistics; introduction to game theory. This course will be graded on a Pass/No Credit basis. Prerequisites: Grade of B or higher in M151or in M152, or consent of the instructor
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  • M 251: Calculus III

    4.00 Credits
    Saint Mary's University of Minnesota

    4 credits This course continues the development of Calculus from M151 and M152. Topics include: sequences and series, conic sections, and differentiation and integration of functions of several variables. Prerequisite: Minimum grade of C in M152.
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  • M 252: Linear Algebra

    4.00 Credits
    Saint Mary's University of Minnesota

    4 credits This course provides an introduction to techniques and applications of linear algebra. Topics include: systems of linear equations, matrices, determinants, Euclidean n-space, real vector spaces, basis and dimension, linear transformations, inner products, and eigenvalues and eigenvectors. Prerequisite: Minimum grade of C in M152.
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  • M 301: Foundations of Advanced Mathematics

    2.00 Credits
    Saint Mary's University of Minnesota

    2 credits This course looks at topics central to further study in mathematics. Topics include symbolic logic, especially as it applies to mathematical proof; methods of mathematical proof such as direct proof, indirect proof, proof by induction; use and meaning of mathematical quantifies and predicates; sets; relations; equivalence relations and partitions; order relations; functions and their properties; and complex numbers. A junior assessment test will be administered as part of this course. Prerequisite: M251 (may be concurrent).
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  • M 308: Analysis for Teachers

    3.00 Credits
    Saint Mary's University of Minnesota

    3 credits This course is designed to strengthen the mathematical background of students in elementary education. It is required for the concentration in mathematics for elementary education. The course provides an overview of calculus for polynomials and rational functions. Topics include a review of algebra, limits, derivatives, integrals, and finding area by integration. This course may not be used as an upper-division elective for the mathematics major or minor or the mathematics education major. This course is also coded as M309. Credit will not be granted for both this course and M151 or M309. Prerequisites: minimum grade of B in M100 or in M102, or consent of instructor; Elementary Education major.
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  • M 309: Calculus for Business

    3.00 Credits
    Saint Mary's University of Minnesota

    3 credits This course is designed to provide an introduction to calculus for polynomials and rational functions, especially as it applies to business. Topics include a review of algebra, limits, derivatives, integrals, and finding area by integration. This course may not be used as an upper-division elective for the mathematics major or minor or the mathematics education major. This course is also coded as M308. Credit will not be granted for both this course and M151or M308. Prerequisite: Minimum grade of B in M100 or in M102, or consent of instructor.
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  • M 310: Combinatorics and Graph Theory

    3.00 Credits
    Saint Mary's University of Minnesota

    3 credits This course provides an introduction to combinatorial and graph theoretical techniques in mathematics. It is also designed for students in computer science. Topics include: sets, functions, combinatorial techniques, graph theory, searching algorithms, and trees. Prerequisites: CS105 or CS110/111, and M152.
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  • M 321: Modern Geometry

    3.00 Credits
    Saint Mary's University of Minnesota

    3 credits This course is required for the Mathematics Education major. The course is designed to be an introduction to the foundations of geometry. Topics include: Euclidean geometry, non-Euclidean geometry, projective geometry, and geometric transformations. Prerequisite: M152.
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