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  • MATH 600: Special Topics in Mathematics

    1.00 - 6.00 Credits
    George Mason University

    Credits: 1-6 Mathematical workshops, special courses, or other projects. Hours of Lecture or Seminar per week 1-6 Hours of Lab or Studio per week 0
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  • MATH 601: Analysis I for Teachers

    3.00 Credits
    George Mason University

    Credits: 3 Develops continuous ideas of calculus with particular emphasis on concepts as opposed to computational aspects of calculus. Specific topics include decimal representation of real numbers, sequences, series, and limits; differentiation to find speed, slopes of curves, and tangents; integration to find volumes and distances and area under curves. Optimization problems including maximization of area and volume, and modeling of these concepts. Graphing techniques supported by theory of calculus and graphing utilities such as TI-83 calculator or computer software such as Maple. Prerequisites Open to in-service teachers of mathematics at middle or secondary level. Others may enroll with permission of instructor. Notes Background in mathematics desirable but not necessary. Some topics from college algebra will be reviewed in class, but thorough understanding of high school algebra and trigonometry expected. Hours of Lecture or Seminar per week 2 Hours of Lab or Studio per week 1
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  • MATH 602: Analysis II for Teachers

    3.00 Credits
    George Mason University

    Credits: 3 Develops continuous ideas of calculus with particular emphasis on concepts as opposed to computational aspects of calculus. Specific topics include decimal representation of real numbers, sequences, series, and limits; differentiation to find speed, slopes of curves, and tangents; integration to find volumes and distances and area under curves. Optimization problems including maximization of area and volume, and modeling of these concepts. Graphing techniques supported by theory of calculus and graphing utilities such as TI-83 calculator or computer software such as Maple. Prerequisites Open to in-service teachers of mathematics at middle or secondary level. Others may enroll with permission of instructor. Notes Background in mathematics desirable but not necessary. Some topics from college algebra will be reviewed in class, but thorough understanding of high school algebra and trigonometry expected. Hours of Lecture or Seminar per week 2 Hours of Lab or Studio per week 1
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  • MATH 604: Geometry for Teachers

    3.00 Credits
    George Mason University

    Credits: 3 Covers standard topics from Euclidean geometry, and includes discussion of non-Euclidean geometries. Emphasizes informal and explorative approach to geometry, and makes use of geometry sketchpad. Other topics include geometric constructions, and role of proof in geometry. Prerequisites Open to in-service teachers of mathematics at middle or secondary level. Others may enroll with permission of instructor. Notes Background in mathematics desirable but not necessary. Hours of Lecture or Seminar per week 2 Hours of Lab or Studio per week 1
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  • MATH 605: Discrete/Finite Mathematics for Teachers

    3.00 Credits
    George Mason University

    Credits: 3 Thorough understanding of high school algebra assumed. Discusses finite mathematics in juxtaposition to continuous ideas of calculus. Topics may consist of elementary counting and combinatorics including recursion and difference equations and their analogy to calculus; thorough discussion of probability and central measures of statistics; and graph theory and its connection to geometry. Prerequisites Open to in-service teachers of mathematics at middle or secondary level. Others may enroll with permission of instructor. Notes Background in mathematics desirable but not necessary. Hours of Lecture or Seminar per week 2 Hours of Lab or Studio per week 1
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  • MATH 607: Algebraic Structure for Teachers

    3.00 Credits
    George Mason University

    Credits: 3 Expands on customary operations on integers and rationals to discuss systems that mimic these operations. Emphasizes multiplicative and additive inverses and their corresponding identities as they occur in other systems. Topics might include permutation groups, rigid transformations, groups of symmetry of the plane and connection to geometry, and matrices treated as linear transformations and connections to solutions of systems of equations. Prerequisites Open to in-service teachers of mathematics at middle school level. Others may enroll with permission of instructor. Notes Background in mathematics desirable but not necessary. Thorough understanding of high school algebra assumed. Hours of Lecture or Seminar per week 2 Hours of Lab or Studio per week 1
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  • MATH 608: Problem Solving in Mathematics

    3.00 Credits
    George Mason University

    Credits: 3 Introduces variety of challenging mathematical problems appropriate for middle school student to analyze, and solving problems using mathematics learned in previous courses. Also asks students to search for such problems and orally present solutions. Prerequisites Open to in-service teachers of mathematics at middle school level. Others may enroll with permission of instructor. Notes Background in mathematics or science desirable but not necessary. Assumes exposure to most of topics covered in MATH 601, 604, 605, and 607. Hours of Lecture or Seminar per week 2 Hours of Lab or Studio per week 1
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  • MATH 619: Topics in Mathematical Logic

    3.00 Credits
    George Mason University

    Credits: 3 Special topics in foundations of mathematics not included in regular mathematics curriculum. May be repeated for credit. Hours of Lecture or Seminar per week 3 Hours of Lab or Studio per week 0
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  • MATH 621: Algebra I

    3.00 Credits
    George Mason University

    Credits: 3 Groups, linear algebra, and matrix groups. Prerequisites Familiarity with basic properties of groups and rings, or permission of instructor. Hours of Lecture or Seminar per week 3 Hours of Lab or Studio per week 0
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  • MATH 624: Euclidean Geometry

    3.00 Credits
    George Mason University

    Credits: 3 Euclidean space, geometry of k-dimensional planes, the affine structure of Euclidean space, rigid motions and similarities, parallelotopes and volumes, convex polytopes, quadric surfaces, and additional topics by instructor's choice. Prerequisites MATH 290 or MATH 322 or equivalent. Hours of Lecture or Seminar per week 3 Hours of Lab or Studio per week 0
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