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MATH 0201: Calculus III
4.00 Credits
University of Pittsburgh-Pittsburgh Campus
A continuation of MATH 0150. The topics included are space geometry and vectors, vector analysis of curves, differential and integral calculus of several variables, applications of partial derivatives, divergence, Green’s and Stokes’ theorems, and differential equations. Prerequisite: MATH 0150 (with a grade of C or better)
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MATH 0202: Ordinary Differential Equations
3.00 Credits
University of Pittsburgh-Pittsburgh Campus
Topics include: basic concepts, autonomous equations, first order linear, second order with forcing functions, quantitative and qualitative aspects, power series solutions, models and applications. Prerequisite: MATH 0150.
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MATH 0205: Finite Differences And Difference Equations
3.00 Credits
University of Pittsburgh-Pittsburgh Campus
The topics in this course include the calculus of finite differences, difference equations, and applications. Emphasis is on linear equations with constant coefficients and matrix methods, the generation of functions, and the z-transform method. Prerequisite: MATH 0150
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MATH 0206: Linear Algebra
3.00 Credits
University of Pittsburgh-Pittsburgh Campus
A study of systems of linear equations using the concepts of vector spaces, linear transformations, matrices, eigenvalues, and eigenvectors. Prerequisite: MATH 0140
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MATH 0207: Geometry
3.00 Credits
University of Pittsburgh-Pittsburgh Campus
A review of the axiomatic system of Euclidean geometry. The course is designed primarily for majors in mathematics who seek secondary teacher certification in mathematics. This course can be used as a mathematics elective. GE: Computational Science
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MATH 1303: Mathematical Modeling
3.00 Credits
University of Pittsburgh-Pittsburgh Campus
An application of mathematical concepts and computer software to the formulation of models and solutions related to criteria ranking, decision making, biological modeling, environmental modeling, and optimization. This course is especially helpful to students who want experience in applications-oriented mathematics. Prerequisite: MATH 0150 Corequisite: MATH 0206 or permission of the instructor
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MATH 1304: Advanced Mathematical Modeling
3.00 Credits
University of Pittsburgh-Pittsburgh Campus
Models based on systems of difference equations and/or differential equations, including growth and decay and cycles and oscillations are formulated and analyzed. Prerequisites: MATH 0202, 1301
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MATH 1305: Partial Differential Equations And Fourier Series
3.00 Credits
University of Pittsburgh-Pittsburgh Campus
A study of partial differential equations, including parabolic, hyperbolic, and elliptic equations using Fourier Series, Fourier Transforms, and Laplace Transforms. Prerequisite: MATH 0202
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MATH 1307: Complex Variables For Science And Engineering
3.00 Credits
University of Pittsburgh-Pittsburgh Campus
Topics included in this course are complex functions, basic transcendental functions, integration in the complex plane, Laurent Series, residues and their use in integration, conformal mapping, and applications. Prerequisite: MATH 0201
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MATH 1308: Numerical Analysis
3.00 Credits
University of Pittsburgh-Pittsburgh Campus
Numerical techniques related to location of roots, polynomial interpretation, numerical integration, ordinary differential equations, Monte Carlo methods, and smoothing of data. Prerequisite: MATH 0150
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