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  • LL 400: Theories and Methods of Learning

    3.00 Credits
    The University of Montana

    Students will study critically the principal and alternative approaches in teaching and learning a second language and the linguistic, learning, and language acquisition theories upon which the approaches are based; discuss the nature of language, the constructive learning process, tacit versus propositional knowledge, the necessary and sufficient conditions for learning language, and education for humanization; and view and analyze videos and beginning language classes. Spring semester; oddnumbered years.
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  • MA 105: Introduction to Contemporary

    3.00 Credits
    The University of Montana

    A course for students with varied mathematical interests and backgrounds. Stresses applications of contemporary mathematics in modern society. Topics include management science, statistics, social choice, patterns, population sizes, and computers. Emphasizes conceptual understanding and appreciation. This course satisfies the Carroll College Core Curriculum for mathematics, but not as a statistics requirement. Prerequisite: Intermediate Algebra. Spring semester.
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  • MA 112: Precalculus:Functions and Graphs

    3.00 Credits
    The University of Montana

    A comprehensive study of elementary functions to prepare students for a college course in calculus. Topics include a review of intermediate algebra including the solution of equations and inequalities, and an in-depth look at functions, inverse functions, their graphs, symmetries, asymptotes, intercepts, and transformations. Linear, polynomial, rational, radical, exponential, logarithmic, and trigonometric functions are studied, and graphing calculators are used extensively. Prerequisite: Mathematics preparation at least through Intermediate Algebra. Spring semester.
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  • MA 117: Difference Equations and Linear Algebra

    3.00 Credits
    The University of Montana

    Introductory college mathematics course in finite difference equations and linear algebra. Topics include sequences, differences, linear and nonlinear difference equations, systems of difference equations, numerical solutions of linear and nonlinear equations, and analytical techniques for solving linear systems using linear algebra. Applications from many fields are studied and the role of mathematical modeling is a central focus. Formal computer labs are a part of the course each week, with spreadsheets being the primary software employed. This course satisfies a Carroll College Core Curriculum for all students and the mathematics requirement for business majors. Prerequisite: three years of high school mathematics through Intermediate Algebra. Each semester.
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  • MA 121: Differential Calculus

    3.00 Credits
    The University of Montana

    This is the first of a two-semester, six-credit calculus sequence. We begin the first semester by reviewing functions from several perspectives (symbolic, numeric, and graphic). For most of the course we study differential calculus, emphasizing how we can use calculus to understand real-world problems such as police radar detection, laying an oil pipeline around a swamp, and understanding motion. We use computers and calculators extensively, and we also focus on learning how to explain mathematics verbally and in writing. The sequence MA 121-MA 122 is considered to be equivalent to MA 131.Prerequisite: Four years of high school mathematics including precalculus.
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  • MA 122: Integral Calculus

    3.00 Credits
    The University of Montana

    This is the second of a two-semester, six-credit calculus sequence. In this course we study topics in integral calculus, emphasizing how we can use calculus to understand real-world problems such as fluid pumping and lifting, how rain catchers are used in city drain systems, and how a compound bow fires an arrow. We use computers and calculators extensively, and we also focus on learning how to explain mathematics verbally and in writing. The sequence MA 121-MA 122 is considered to be equivalent to MA 131. Prerequisite: A grade of C or better in MA 121.
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  • MA 131: Calculus of Single Variable Functions

    4.00 Credits
    The University of Montana

    This course covers all aspects of single-variable calculus including derivatives, antiderivatives, definite integrals, and the fundamental theorem of calculus. We highlight how we can use calculus to understand real-world problems such as laying an oil pipeline around a swamp, fluid pumping and lifting, and how rain catchers are used in city drain systems. We use computers and calculators extensively, meeting in the computer lab once each week. We also focus on learning how to explain mathematics verbally and in writing. This is the same material that is covered in MA 121-122, except this is an accelerated course that does not review precalculus material. Prerequisite: Previous calculus experience or strong precalculus background. Fall semester.
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  • MA 201: Mathematics for Elementary Education I

    3.00 Credits
    The University of Montana

    A course primarily for prospective elementary teachers, designed to give a background in logic, set theory, the set of integers and their properties, the system of rational numbers, and real numbers as an extension of the rationals. Prerequisite: Intermediate Algebra. Fall semester.
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  • MA 202: Mathematics for Elementary Education II

    3.00 Credits
    The University of Montana

    An extension of MA 201 into geometry and measurement, functions and their graphs, and a brief introduction to probability and statistics. Special emphasis will be given to the development of skills in problemsolving and to applications. Prerequisite: MA 201. Spring semester.
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  • MA 207: Elementary Statistics

    3.00 Credits
    The University of Montana

    The basic concepts used in statistics such as measures of central tendency, variation, probability distributions, and statistical inference are stressed. Applications are made in the social, communication, health, biological, and physical sciences. This course does not count toward a major or minor in mathematics. Prerequisites: Intermediate Algebra. Each semester.
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