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  • MATH 103: Game Theory

    4.00 Credits
    The University of Montana-Western

    Game theory studies how individuals make decisions when their actions affect each other. Topics to be covered in this course may include dominance, Nash equilibrium, mixed-strategy Nash equilibrium, the Prisoner's dilemma, oligopolies, auctions, bargaining, cooperative games, and evolutionary game theory. Upon successful completion of this course the student should be able to formulate and analyze game-theoretic models for various economic, political, social, and biological phenomena. Prereq: MATH 007 grade C- or higher, or meet one Math Proficiency standard above, or c/i.
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  • MATH 105: Number Theory

    4.00 Credits
    The University of Montana-Western

    In this course the student will study the development and properties of number systems. This includes the study of the real numbers and algorithms that use them. It also includes the study of number sequences and number patterns. Prereq: Prereq: MATH 007 grade C- or higher, or meet one Math Proficiency standard above, or c/i. (fall/spring)
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  • MATH 106: Geometry

    4.00 Credits
    The University of Montana-Western

    Upon successful completion of this course the student should be familiar with introductory geometry, geometric constructions, congruence, similarity, measurement, and coordinate geometry. The student should exhibit competence in using congruence and similarity to solve geo-metric problems, completing geometric constructions and introductory proofs, and the ability to communicate using mathematical terminology. Prereq: MATH 007 grade C- or higher, or meet one Math Proficiency standard above, or c/i. (fall/spring)
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  • MATH 107: Morphometrics

    4.00 Credits
    The University of Montana-Western

    Morphometrics is the mathematical study of shape. This course will investigate how shapes from the natural world are represented mathe-matically. Upon successful completion of this course the student should be able to use algebraic functions to model form, use spline techniques to establish deformation grids between forms, use fractal geometry to model self-similar forms, and describe the shape of the universe. The student will be introduced to appropriate technology used in modeling shape. Prereq: Prereq: MATH 007 grade C- or higher, or meet one Math Proficiency standard above, or c/i. (spring/odd-numbered years)
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  • MATH 108: Graph Theory

    4.00 Credits
    The University of Montana-Western

    Upon successful completion of this course the student should be familiar with the basic concept of graphs and how graphs are used to solve problems. Topics will include Hamiltonian and Euler paths, networks, directed graphs and critical paths, coloring problems and Ramsey numbers, tournaments, and graphical enumeration. The student should exhibit competence in applying the algorithms used to solve problems involving these graph theory topics. Prereq: MATH 007 grade C- or higher, or meet one Math Proficiency standard above, or c/i.
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  • MATH 109: Topics in Mathematics

    4.00 Credits
    The University of Montana-Western

    Introductory mathematical topics appropriate for students with a back-ground in intermediate algebra. This course will investigate an instructor-selected area of mathematics that involves reflective-analytic, mathematical reasoning, and computational components. Prereq: MATH 007 grade C- or higher, or meet one Math Proficiency standard above, or c/i.
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  • MATH 111: College Algebra

    4.00 Credits
    The University of Montana-Western

    In this course the library of functions, their shifts and stretches, is expanded to include third or higher order polynomials, a compre-hensive look at rational expressions, exponential and logarithmic equations, and the relations called conic sections. Domain, range, composition, and inverse concepts and calculations are presented. More comprehensive operations and solution methods are developed for linear, quadratic, rational, and radical forms. Operations and solution methods for exponential and logarithmic forms are introduced. Prereq: MATH 007 grade C- or higher, or meet one Math Proficiency standard above, or c/i. (spring)
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  • MATH 112: Trigonometry & Complex Numbers

    4.00 Credits
    The University of Montana-Western

    The emphasis of this course is a broad study of trigonometric functions. Triangular trigonometry, complex variables, polar coordinates, and other applications of trigonometry are also introduced. Prereq: MATH 007 grade C- or higher, or meet one Math Proficiency standard above, or c/i. (fall)
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  • MATH 131: Probability

    4.00 Credits
    The University of Montana-Western

    This course is designed as an introductory course to probability. Upon successful completion of this course the student should be familiar with basic set theory concepts, combinations and permutation problems, probability distributions, and basic probability computations. The student will also be introduced to calculator or computer technology used in simulating and calculating probabilities. Prereq: MATH 007 grade C- or higher, or meet one Math Proficiency standard above, or c/i. (fall/spring)
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  • MATH 201: Calculus I

    4.00 Credits
    The University of Montana-Western

    This is the first course in a three-semester calculus sequence. This course will provide the student with an introduction to differential and integral calculus. The student will investigate functions in one variable geometrically, numerically, and algebraically. Topics are introduced by the investigation of practical problems and include limits, continuity, derivatives, antiderivatives, and the Fundamental Theorem of Calculus. Department recommends that students take MATH 111. Prereq: MATH 112 grade C- or higher, or c/i. (fall)
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