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MATH 625: Enhancing Math Instruction K-6
1.00 Credits
Bucknell University
This courses intends to deepen and develop current elementary teachers' content and pedagogical content knowledge for teaching mathematics. The specific mathematical concepts addressed are PSSA Standard 2.1 Numbers, Number Systems and Number Relationships; 2.3 Measurement and Estimation; 2.5 Mathematical Problem Solving and Communication; 2.6 Statistics and Data Analysis; and 2.9 Geometry. The vehicle through which we will understand these topics is observing children's thinking and how they make sense of mathematics. These observations will be made through reading cases, observing videocases, and reflecting on your own classroom experiences. This graduate course is currently only open to teachers participating in the MATHPRO grant.
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MATH 625 - Enhancing Math Instruction K-6
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MATH 633: Topology
1.00 Credits
Bucknell University
Topological spaces, connectedness, compactness, continuity, separation, and countability axioms. Metric, product, function, and uniform spaces.
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MATH 633 - Topology
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MATH 635: Geometry
1.00 Credits
Bucknell University
Historical and axiomatic foundations of geometry. Euclidean and non-Euclidean geometries.
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MATH 635 - Geometry
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MATH 636: Mathematical Physics
1.00 Credits
Bucknell University
Mathematics for physicists will be studied in this course. The motivation is drawn from physics, but it is designed to be of interest to students of both disciplines. Prerequisite: permission of the instructor.
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MATH 636 - Mathematical Physics
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MATH 638: Set Theory
1.00 Credits
Bucknell University
Adjacency, connectedness, trees, directed graphs, circuits, network flow, and extensive applications.
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MATH 638 - Set Theory
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MATH 643: Numerical Analysis
1.00 Credits
Bucknell University
Floating point arithmetic, development of computational algorithms and error estimates for root approximation, interpolation and approximation by polynomials, numerical differentiation and integration, cubic splines, least-squares, linear systems, lab component. Prerequisite: permission of the instructor.
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MATH 643 - Numerical Analysis
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MATH 643L: Lab-Numerical Analysis
0.00 Credits
Bucknell University
Required laboratory for MATH 643 Numerical Analysis.
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MATH 643L - Lab-Numerical Analysis
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MATH 645: Linear Algebra
1.00 Credits
Bucknell University
Systems of linear equations, determinants, vector spaces, canonical forms for linear transformations and matrices, bilinear forms, inner product spaces, applications to such other areas as geometry, differential equations, linear programming. Prerequisite: permission of the instructor.
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MATH 645 - Linear Algebra
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MATH 646: Modern Algebra
1.00 Credits
Bucknell University
Advanced topics in group theory including solvable groups, field theory, Galois theory.
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MATH 646 - Modern Algebra
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MATH 650: Methods in Applied Mathematics
1.00 Credits
Bucknell University
Techniques drawn from partial differential equations, transform methods, Fourier and complex analysis, and variational calculus.
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MATH 650 - Methods in Applied Mathematics
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