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  • MATH 202: Calculus II

    4.00 Credits
    The University of Montana-Western

    This is the second course in a three-semester calculus sequence. This course will provide the student with a more comprehensive knowledge of differential and integral calculus. As a continuation of MATH 201, the student will investigate practical problems geometrically, numer-ically, and algebraically. Several different integration techniques will be introduced and applied. The student will also encounter elementary differential equations through applications, as well as continue the study of limits and convergence via improper integrals and Taylor series. Prereq: MATH 201 grade C- or higher, or c/i. (spring/even-numbered years)
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  • MATH 203: Calculus III

    4.00 Credits
    The University of Montana-Western

    This third course in the calculus sequence emphasizes multivariate calculus. Upon successful completion of this course the student should be familiar with polar, spherical, and cylindrical coordinates; para-metric curves; vectors in the plane and space; differentiation and integration of functions of several variables; and applications. The stu-dent should exhibit competence in using differentiation and integration to solve problems of motion and force and in implementing different coordinate systems. The student will demonstrate the ability to reason, visualize in space, implement appropriate technologies, and communi-cate using mathematical terminology. Prereq: MATH 202 and MATH 260 grade C- or higher, or c/i. (spring/even-numbered years)
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  • MATH 210: Computer Mathematics

    4.00 Credits
    The University of Montana-Western

    This course is designed to provide students with basic computer skills that are applicable to the mathematical sciences. This will include programming in matrix-vector based languages such as MATLAB or OCTAVE, symbolic languages such as Mathematica or Maple, and typesetting mathematical writing with the aid of LATEX2E. Prereq: MATH 007 or equivalent, grade C- or higher.
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  • MATH 219: Directed Study

    3.00 Credits
    The University of Montana-Western

    Selected topics under faculty supervision. Prereq: c/i and c/vc. (on demand)
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  • MATH 232: Statistics

    4.00 Credits
    The University of Montana-Western

    Upon completion of this course the student should be familiar with the basic concepts of descriptive and inferential statistics. The student should exhibit competence in describing data using measures of central tendency, measures of location, measures of dispersion, and various graphical techniques. The student should be able to compute confi-dence intervals and test hypotheses regarding population parameters. The student should be familiar with using calculators and computer software to conduct various statistical procedures including one- and two-way analysis of variance, correlation, and various non-parametric tests. Prereq: MATH 131 grade C- or higher, or c/i. (fall/spring)
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  • MATH 233: Biostatistics

    4.00 Credits
    The University of Montana-Western

    Upon completion of this course the student should be familiar with the basic concepts of descriptive and inferential statistics as applied in various areas of biology. The student should exhibit competence in describing data using measures of central tendency, measures of location, measures of dispersion, and various graphical techniques. The student should be able to compute confidence intervals and test hypotheses including derivation of sampling distributions (either theoretical, or derived via bootstrapping or randomization techniques) and the comparison of similar tests using statistical power. The student should be familiar with using calculators and computer software to conduct various statistical procedures including both parametric and nonparametric tests: t-test, sign test, Wilcoxon Rank-sum test, one-way ANOVA, Kruskal-Wallis test, two-way ANOVA, Friedman k-sample Test, regression, correlation, Chi-square and Kolmogorov-Smirnov Tests. Prereq: MATH 131 grade C- or higher, or c/i. (fall)
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  • MATH 260: Linear Algebra

    4.00 Credits
    The University of Montana-Western

    Upon successful completion of this course the student should be familiar with the vocabulary and notation of matrix and vector algebra and should exhibit competence in computing (algebraically and with the aid of computer software) solutions to systems of linear equations, determinants, eigenvalues, and eigenvectors. The student should also become acquainted with linear transformations, abstract vector spaces, and matrix factorizations. Topics will be motivated and will culminate with relative applications. Prereq: MATH 201 grade C- or higher, or c/i. (fall/even-numbered years)
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  • MATH 290: Independent Study

    3.00 Credits
    The University of Montana-Western

    Directed research or study on an individual basis. Prereq: c/i and c/vc. (on demand)
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  • MATH 311: Ordinary Differential Equations

    4.00 Credits
    The University of Montana-Western

    This is a junior level course that is designed to provide students with the opportunity to gain proficiency in solving and analyzing first order dif-ferential equations, second order differential equations, and differential systems. Students will learn techniques including direct solution, numerical approximation, and qualitative study in the process of gaining this profi-ciency. Prereq: MATH 202 and MATH 260 grade C- or higher, or c/i.
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  • MATH 331: Bioinformatics

    4.00 Credits
    The University of Montana-Western

    This course will cover the basic concepts in this newly emerging field at the interface between mathematics and molecular biology. We will begin with basic problems of sequence analysis and alignment and move to applications in genomics, phylogenetics, predicting protein structure, analysis of microarray data, and the construction of gene networks in metabolism and development. Students will learn how to access the various databases and write a research proposal in molecular biology that may serve as the basis for thesis work. Prereq: MATH 131 and BIO 255 grade C- or higher, or/ci. (spring/odd-numbered years)
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