Course Search Results

  • MATH 3150: PDE's For Engineers

    2.00 Credits
    University of Utah

    Fourier series and boundary-value problems for the wave, heat, and Laplace equations, separation of variables in rectangular and radial geometries, Fourier transform. Prerequisites: 'C' or better in (MATH 2250 OR (MATH 2270 AND MATH 2280)) AND (MATH 1260 OR MATH 1280 OR MATH 1321 OR MATH 2210)
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  • MATH 3160: Appl Compl Var

    2.00 Credits
    University of Utah

    Analytic functions, complex integration, Cauchy integral theorem, Taylor and Laurent series, residues and contour integrals, conformal mappings with applications to electrostatics, heat, and fluid flow. Prerequisites: 'C' or better in MATH 2250 OR ((MATH 2270 OR MATH 2280) AND (MATH 2280 OR MATH 2281))
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  • MATH 3170: R Lab I

    1.00 Credits
    University of Utah

    For students who wish to participate only in the Lab component of MATH 3070. Prerequisites: Department Consent
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  • MATH 3180: R Lab II

    1.00 Credits
    University of Utah

    For students who wish to participate only in the Lab component of MATH 3080. Prerequisites: Department Consent
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  • MATH 3210: Fndns Of Analysis I

    4.00 Credits
    University of Utah

    Logic, methods of proof and mathematical argument in mathematical analysis. Rigorous reconsideration of the real-number system, infinite series and of continuity, differentiation and integration for functions of one variable. The emphasis is on improving the student's ability to understand and explain concepts in a logical and complete manner. Prerequisites: 'C' or better in (MATH 1260 OR MATH 1321 OR MATH 2210 OR MATH 2310 OR MATH 3140) AND (MATH 2200 OR MATH 2250 OR MATH 2270 OR MATH 2271)
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    General Education Course

  • MATH 3220: Fndns Of Analysis II

    4.00 Credits
    University of Utah

    Advanced multivariable calculus. Topics include continuity, compactness, differentiation and affine approximation, chain rule, Taylor series, extremization, error estimation, inverse and implicit function theorems, Riemann integration, Fubini's Theorem, change of variables formula. The emphasis is on further developing the student's ability to understand more abstract concepts and to write an effective and rigorous mathematical argument. Prerequisites: 'C' or better in MATH 3210 AND (MATH 2250 OR MATH 2270 OR MATH 2271)
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    General Education Course

  • MATH 3410: Statistics Sec Math Tch

    3.00 Credits
    University of Utah

    This three-credit course addresses secondary school probability and statistics content from an advanced perspective, with attention to historical development and modern computational tools. From a teaching perspective (i.e., drawing connections to the Utah Core Standards for Mathematics), topics include random variables, distributions, moments, the central limit theorem, descriptive statistics, hypothesis testing, estimation, linear regression, and experimental design. Essential learning outcomes are developed from the those enumerated by the National Council of Teachers of Mathematics, utilizing the language of the educational community. Students will use open source software (e.g., GeoGebra) and, to a larger extent, a statistical programming language (e.g., R or Python) to investigate statistical questions, both at and beyond the secondary level. Prerequisites include the successful completion of Math 3070. Prerequisites: "C" or better in MATH 3070.
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  • MATH 3420: Geometry Sec Math Tch

    3.00 Credits
    University of Utah

    This course is a one semester course covering topics in geometry relevant for secondary school teachers. Emphasis will be placed on integrating algebraic and geometric ideas. Ideas from Euclidean geometry are developed in the context of analytic geometry with a focus on using technology. Topics covered are: axioms for high school geometry, straightedge and compass constructions, conic sections, geometric equation solving, geometry of complex numbers, and transformations via complex numbers. Prerequisite is completion of Math 1210 with a grade of C or better. Completion of Math 3100 is strongly preferred. Prerequisites: 'C' or better in MATH 1210 OR MATH 1215 OR AP Calc AB score of 4+ OR AP Calc BC score of 3+ OR IB Math score of 5+.
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  • MATH 3430: Algebra Sec Math Tch

    3.00 Credits
    University of Utah

    This course is a one-semester course examining topics in Number System, Algebra, Expressions and Equations, and Function relevant for secondary school teachers. Emphasis will be placed on integrating algebraic and geometric ideas. This course, in conjunction with Geometry for Secondary Teachers and Statistics/Probability for Secondary Teachers, is intended to provide future teachers with a deep understanding of the content they will be teaching, how it builds from previous understandings students develop in elementary school, and how it extends to concepts at higher levels. Prerequisite is completion of Math 1210 with a grade of C or better. Prerequisites: 'C' or better in MATH 1210 OR MATH 1215 OR AP Calc AB score of 4+ OR AP Calc BC score of 3+ OR IB Math score of 5+.
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  • MATH 3600: Mathematics in Medicine

    3.00 Credits
    University of Utah

    This course will develop 12 detailed case studies where mathematics has played a fundamental role in improving medical care. Each week will begin with the medical and biological background, showing both the underlying physiology and the medical problem, then move on to how mathematical or quantitative methods changed practice. Students will learn the underlying mathematical methods from the ground up, program simple simulations on the computer, and use the mathematics and computer simulations to evaluate the medical implications of different therapies or control measures. It is recommended that MATH 1170 or 1210 be completed prior to enrolling in this course. Prerequisites: "C-" or better in ((MATH 1050 AND MATH 1060) OR MATH 1080 OR BIOL 2010 OR BIOL 2020 OR BIOL 2030) OR (AP Calc AB 3+ OR ACT Math 28+ OR SAT 630+ OR Accuplacer AAF 276+ OR Accuplacer CLM 95+)) AND Instructor Consent.
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