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MATH 1309: Applied Probability And Statistics
4.00 Credits
University of Pittsburgh-Pittsburgh Campus
This course covers random events and probability spaces; conditional probability; random variables, distribution of random variables, and parameters of distributions; and central limit theorem. Populations, samples and statistical inference, point and interval estimation, hypothesis testing, and regression analysis are also covered. There is some work with a statistical computer package (MINITAB or SPSS). Prerequisite: MATH 0150
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MATH 1312: Abstract Algebra And Number Theory
4.00 Credits
University of Pittsburgh-Pittsburgh Campus
This course is intended for upper-level undergraduate students who wish to enhance their mathematical background and is required for math education majors. It introduces some basic concepts in abstract algebra and number theory and covers groups, rings, fields, polynomials, and properties of integers. Prerequisites: MATH 0135, 0150
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MATH 1314: Topics in Modern Geometry
3.00 Credits
University of Pittsburgh-Pittsburgh Campus
This course exposes students to some aspects of modern geometry. In addition to the major emphasis on geometric transformations, one or more topics are selected from a wide variety of branches at the discretion of the instructor. Projective geometry, topology, differential geometry, noneuclidean geometry, graph theory, fractal geometry, computational geometry, and computer graphics are among these topics. This course can replace MATH 0207 as a requirement for math education majors.
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MATH 1315: Advanced Differential Equations
3.00 Credits
University of Pittsburgh-Pittsburgh Campus
Systems of ordinary equations will be the main focus of this course. Topics include stability analysis, limit cycles, oscillations, excitable systems, and bifurcations. Software aids will also be used. Prerequisite: MATH 0202
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MATH 1316: Computational Linear Algebra
3.00 Credits
University of Pittsburgh-Pittsburgh Campus
(Cross listed with CS 1316) 3 cr. This course consists of two parts: the computational linear algebra part and an applications part. The first part is primarily devoted to using software aids and lab sessions and is two-thirds of the course. The last third will be devoted to small group projects. All the basic topics of linear algebra will be studied. Prerequisite: MATH 0206, CS 0101
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MATH 1318: Introduction to Analysis
4.00 Credits
University of Pittsburgh-Pittsburgh Campus
This is a follow-up to the three-term calculus sequence courses and designed to bridge the gap between the intuitive calculus and the advanced mathematics. Through a rigorous treatment of the basic concepts already encountered in calculus, students will learn how to express themselves mathematically and, in particular, to write mathematical proofs. Prerequisite: MATH 0201
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MATH 1320: Operations Research
3.00 Credits
University of Pittsburgh-Pittsburgh Campus
(Cross listed with MGMT 1302) 3 cr. This course is an introduction to operations research with emphasis on economic applications. The topics include formulation and solving of linear programming problems, integer programming, simplex method, transportation problems, and network models. Prerequisite: MATH 0140 or MATH 0136 and MATH 0202 or MATH 0206
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MATH 1325: Computer Applications in Mathematical Physics
3.00 Credits
University of Pittsburgh-Pittsburgh Campus
(Cross-listed with PHYS 1325) 3 cr. Various mathematical approaches such as finite difference and Monte Carlo methods are employed to solve problems from classical and modern physics. These numerical problems are included but not limited to the scattering of light by small particles, celestial mechanics, and applications of the Schrodinger Equation. A suitable symbolic platform such as mathematica will be utilized for this task.
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MATH 1325 - Computer Applications in Mathematical Physics
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MATH 1401: Methods of Applied Mathematics
3.00 Credits
University of Pittsburgh-Pittsburgh Campus
Mathematical techniques, including calculus of variations, the Gamma and Beta functions, asymptotic series, elliptic integrals, complex functions, Laurent Series, residue theorem, methods involving integral transforms, the Dirac Delta function, Green functions, and perturbation techniques. Prerequisite: MATH 0202
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MATH 1450: Topics in Applied Mathematics
3.00 Credits
University of Pittsburgh-Pittsburgh Campus
The advanced study of a special topic in applied mathematics. Prerequisite: permission of instructor
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