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  • MATH 297: The Nature of Mathematics

    3.00 Credits
    University of Michigan-Ann Arbor

    Mathematics will be presented in a way so that Honors Program students (including nonscience majors) can learn what makes mathematics a fascinating field of study rather than a collection of dry formulas. A few "Great Theorems" will be studied in their historical context, inter-connections between mathematics and science will be studied, and some famous personalities will be presented. Open only to students in the CASL Honors Program. 3.000 Credit hours 3.000 Lecture hours Levels: Undergraduate Schedule Types: Lecture Mathematics Department Course Attributes: Honors Program, Lower Division
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  • MATH 315: Applied Combinatorics

    3.00 Credits
    University of Michigan-Ann Arbor

    An introduction to methods and applications of enumerative and configural combinatorics. Students study several elegant and useful techniques for counting and/or generating the elements in large and unwieldy finite sets. Students will also study topics in graph theory that are applicable to real world problems. Topics include basic counting principles, the principle of inclusion-exclusion, generating functions and recurrence relations. Topics from graph theory include graph models, paths, circuits, cycles, connectedness, planarity, coloring, directed graphs, and networks and network flows. (AY, W). 3.000 Credit hours 3.000 Lecture hours Levels: Undergraduate Schedule Types: Lecture Mathematics Department Course Attributes: Upper Division
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  • MATH 325: Mathematical Statistics I

    3.00 Credits
    University of Michigan-Ann Arbor

    Brief overview of summary and display of data, probability concepts, discrete and continuous random variables and associated probability models, expectation, independent random variables, probability generating functions and moment generating functions, sampling distributions, the central limit theorem, the t-distribution, properties of estimators, and interval estimation. (F). 3.000 Credit hours 3.000 Other hours Levels: Undergraduate Schedule Types: Recitation Mathematics Department Course Attributes: Upper Division
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  • MATH 331: Survey of Geometry

    3.00 Credits
    University of Michigan-Ann Arbor

    A development of Euclidean geometry as a formal axiom system and an introduction to non-Euclidean geometries and to Transformational Geometry. Geometric models and the history of geometry are stressed. Development of students' geometric intuition as well as their ability to work in a formal axiom system are emphasized. (F). 3.000 Credit hours 3.000 Other hours Levels: Undergraduate Schedule Types: Recitation Mathematics Department Course Attributes: Upper Division
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  • MATH 363: Introduction to Statistics

    3.00 Credits
    University of Michigan-Ann Arbor

    Frequency distributions and descriptive measures. Populations, sampling, and statistical inference. Elementary probability and linear regression. Use of statistical computer packages to analyze data. Students can receive credit for only one of MATH 363, STAT 363, SOC 383, and STAT 325. Students intending to elect this course should have taken at least one year of high school algebra. (F,W,S). 3.000 Credit hours 3.000 Lecture hours Levels: Undergraduate Schedule Types: Lecture Mathematics Department Course Attributes: Upper Division
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  • MATH 372: Computing with Mathematica

    3.00 Credits
    University of Michigan-Ann Arbor

    The course explores a variety of topics from different areas of undergraduate mathematics including calculus, matrix algebra, number theory, geometry, and discrete mathematics. Students learn to design customized Mathematica functions to solve specific problems in these areas using the symbolic, computational, graphics and programming tools provided within Mathematica. (AY,W). 3.000 Credit hours 3.000 Lab hours Levels: Undergraduate Schedule Types: Laboratory, Laboratory Mathematics Department Course Attributes: Upper Division
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  • MATH 385: Math for Elemen Teachers I

    3.00 Credits
    University of Michigan-Ann Arbor

    The purpose of this course and the Math 386 and Math 387 courses is to provide future teachers with foundational knowledge of mathematics they will teach. An inquiry approach is emphasized involving problem solving, problem posing, pattern seeking, reasoning, justification, representations, and communications. Topics in Math 385 include numeration, meaning of operations, the reasoning behind procedures, and the rational number system, including fractions and decimals. (F,W) 3.000 Credit hours 3.000 Lecture hours Levels: Undergraduate Schedule Types: Lecture Mathematics Department Course Attributes: Upper Division
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  • MATH 386: Math for Elem Teachers II

    3.00 Credits
    University of Michigan-Ann Arbor

    The purpose of this course and the Math 385 and Math 387 courses is to provide future teachers with foundational knowledge of mathematics they will teach. An inquiry approach is emphasized involving problem solving, problem posing, pattern seeking, reasoning, justification, representations, and communications. Topics in Math 386 include number theory, proportional reasoning, the geometry of two-dimensional shape and measurement, integers, and the real number system. (F,W) 3.000 Credit hours 3.000 Other hours Levels: Undergraduate Schedule Types: Recitation Mathematics Department Course Attributes: Upper Division
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  • MATH 387: Math for Elem Teachers III

    3.00 Credits
    University of Michigan-Ann Arbor

    The purpose of this course and the Math 385 and Math 386 courses is to provide future teachers with foundational knowledge of mathematics they will teach. An inquiry approach is emphasized involving problem solving, problem posing, pattern seeking, reasoning, justification, representations, and communications. Topics in Math 387 include data analysis; probability; the geometry of three-dimensions including shape, spatial visualization, and measurement; geometric concepts of similarity and congruence; coordinate geometry; and transformational geometry. Algebraic reasoning is integrated throughout. (F,W) 3.000 Credit hours 3.000 Other hours Levels: Undergraduate Schedule Types: Recitation Mathematics Department Course Attributes: Upper Division
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  • MATH 390: Topics in Mathematics

    3.00 Credits
    University of Michigan-Ann Arbor

    A course designed to offer selected topics in different areas of mathematics. The specific topic or topics will be announced together with the prerequisites each term. Course may be repeated for credit when specific topics differ. 1.000 TO 3.000 Credit hours 1.000 TO 3.000 Lecture hours Levels: Undergraduate Schedule Types: Lecture Mathematics Department Course Attributes: Upper Division
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