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800:176: Numerical Analysis I
3.00 Credits
University of Northern Iowa
Theory and application of standard numerical techniques dealing with nonlinear equations, systems of linear equations, interpolation and approximation, numerical differentiation and integration. Prerequisite(s): 800:061; 800:076; 810:034 or 810:035 or 810:036, or equivalent; junior standing. (Offered Odd Falls)
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800:176 - Numerical Analysis I
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800:177: Linear and Non- Linear Programming
3.00 Credits
University of Northern Iowa
Linear, non-linear, integer, and dynamic programming. Prerequisite(s): 800:061; 800:076; 810:034 or 810:035 or equivalent; junior standing. (Variable)
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800:177 - Linear and Non- Linear Programming
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800:178: Numerical Analysis II
3.00 Credits
University of Northern Iowa
Theory and application of numerical techniques for solution of ordinary and partial differential equations. Advanced topics from interpolation, approximation, numerical linear algebra. Prerequisite(s): 800:176; junior standing. (Variable)
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800:178 - Numerical Analysis II
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800:180: History of Mathematics: To the Calculus
3.00 Credits
University of Northern Iowa
Survey of mathematical activities of humankind in numeration and number systems, algebra, and number theory, from pre-history through the present day. Motives, influences, and methods affecting development of these mathematical topics in Mesopotamian, Egyptian, Greek, Islamic, Indian, Chinese, Native American, and Western civilizations. Ethnomathematics as related to these topics. Prerequisite(s): junior standing. (Offered Fall)
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800:180 - History of Mathematics: To the Calculus
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800:181: Philosophy of Mathematics
3.00 Credits
University of Northern Iowa
Consideration of views on foundations of mathematics and such topics as role and possible limitations of mathematics in scientific investigation; significance of logical constructs in mathematics. Prerequisite(s): Humanities course; one semester of calculus; at least one additional mathematics course; junior standing. (Variable)
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800:181 - Philosophy of Mathematics
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800:182: Introduction to Set Theory
3.00 Credits
University of Northern Iowa
Overview of Cantor's set theory. Informal introduction to the axioms of set theory; general relations and functions; order relations; the axiom of choice, Zorn's lemma, and well-ordering; ordinal and cardinal numbers and their arithmetics; the Cantor-Schroeder-Bernstein theorem. Prerequisite(s): 800:160 or 800:165 or 800:169; junior standing. (Variable)
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800:182 - Introduction to Set Theory
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800:183: Connections: University Mathematics and the Secondary Curriculum
3.00 Credits
University of Northern Iowa
Connections between the undergraduate mathematics major and the secondary mathematics curriculum. Consideration of modern algebra, modern geometry, probability and statistics, calculus and number theory in the context of the secondary mathematics curriculum. Prerequisite(s): 6 hours of 100-level courses in mathematics. Corequisite(s): 200:148; 250:150. Prerequisite(s) or corequisite(s): 200:017; 200:030; 200:128; 800:188. (Variable)
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800:183 - Connections: University Mathematics and the Secondary Curriculum
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800:185: History of Mathematics: From the Calculus
3.00 Credits
University of Northern Iowa
Survey of mathematical activities of humankind in calculus, from ancient civilizations to the present day. Post-calculus topics selected from analysis, set theory, geometry and topology, mathematical logic, and other integrative developments in Twentieth Century mathematics. Ethnomathematics as related to these topics. Prerequisite(s): 800:061; junior standing. (Variable)
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800:185 - History of Mathematics: From the Calculus
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800:187: Formal Languages
3.00 Credits
University of Northern Iowa
Brief comparison of natural languages and formal languages. Grammars and their generated languages; the Chomsky hierarchy and corresponding automata theories; operations on languages; some solvable and unsolvable problems. Prerequisite(s): 810:181; junior standing. (Variable)
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800:187 - Formal Languages
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800:188: The Teaching of Middle School/ Junior High Mathematics
3.00 Credits
University of Northern Iowa
Teaching strategies for grades 5-8; roles of content and methods; participation in a middle school/junior high teaching situation. Prerequisite(s): 200:128; 200:148; 6 hours of 100-level courses in mathematics. (Offered Fall)
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800:188 - The Teaching of Middle School/ Junior High Mathematics
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