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MATH 305: Statistical Modeling
3.00 Credits
Bucknell University
Regression and analysis of (co)variance. Model diagnosis and remediation. Generalized linear models and nonlinear regression. Multicollinearity and ridge regression. Use of advanced statistical software. Prerequisites: MATH 216 or equivalent, and either MATH 213 or MATH 303 or permission of the instructor.
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MATH 305 - Statistical Modeling
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MATH 307: Stat Design Scientific Studies
1.00 Credits
Bucknell University
Sampling, design of experiments and observational studies. Includes completely randomized, block, factorial, and nested designs. Simple random, stratified, systematic, and cluster sampling. Estimation procedures and sample size calculations.
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MATH 307 - Stat Design Scientific Studies
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MATH 308: Intro to Real Analysis I
1.00 Credits
Bucknell University
Real numbers and elementary topology of Cartesian spaces, convergence, continuity, differentiation, and history of the development of analysis.
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MATH 309: Intro to Real Analysis II
1.00 Credits
Bucknell University
Continuation of MATH 308. Integration theory and advanced topics in analysis.
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MATH 309 - Intro to Real Analysis II
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MATH 311: Theory of Numbers
3.00 Credits
Bucknell University
Classical number theory in an algebraic setting. Topics include unique factorization, diophantine equations, and linear and quadratic congruences. Advanced topics from algebraic or analytic number theory. Prerequisites: MATH 213 and MATH 280, or permission of the instructor.
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MATH 311 - Theory of Numbers
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MATH 319: Topics in Advanced Mathematics
3.00 Credits
Bucknell University
Special topics, to be selected from algebra, analysis, geometry, statistics, etc.
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MATH 319 - Topics in Advanced Mathematics
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MATH 320: Introduction to Algebra
3.00 Credits
Bucknell University
Groups and rings; homomorphisms and isomorphism theorems; history of the development of algebra. Additional selected topics. Prerequisites: MATH 213 and MATH 280.
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MATH 320 - Introduction to Algebra
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MATH 333: Topology
3.00 Credits
Bucknell University
Topological spaces, connectedness, compactness, continuity, separation, and countability axioms. Metric, product, function, and uniform spaces. Prerequisites: MATH 211 and MATH 280, or permission of the instructor.
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MATH 333 - Topology
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MATH 335: Geometry
3.00 Credits
Bucknell University
Historical and axiomatic foundations of geometry. Euclidean and non-Euclidean geometries. Prerequisite: MATH 280 or permission of the instructor.
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MATH 335 - Geometry
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MATH 341: Theory of Computation
1.00 Credits
Bucknell University
Finite automata, regular sets, pushdown automata, context-free grammars. Turing machines, recursive functions, and undecidability. Crosslisted as CSCI 341.
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MATH 341 - Theory of Computation
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