Discrete Structures and Their Interactions (Discrete Mathematics and Its Applications)

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He received a Ph.

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His research interests include graphs, hypergraphs, partial order, finite topologies, and simplicial complexes, with a focus on the applications of other fields of mathematics to discrete problems. Grand Eagle Retail is the ideal place for all your shopping needs! With fast shipping, low prices, friendly service and over 1,, in stock items - you're bound to find what you want, at a price you'll love!

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Mathematical connections.


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Each exam and homework assignment is used to assess these skills in the context of the various topics of the course. Number operations and relationships from both abstract and concrete perspectives identifying real world applications, and representing and connecting mathematical concepts and procedures including:. Number sense. Set theory. Number and operation. Composition and decomposition of numbers, including place value, primes, factors, multiples, inverses, and the extension of these concepts throughout mathematics.

Number systems through the real numbers, their properties and relations. Computational procedures.

Discrete Mathematics for Educators Appendix C

Proportional reasoning. Number theory. Not assessed in this course. Mathematical concepts and procedures, and the connections among them for teaching upper level number operations and relationships including:. Advanced counting procedures, including union and intersection of sets, and parenthetical operations.

Algebraic and transcendental numbers. The complex number system, including polar coordinates. Approximation techniques as a basis for numerical integration, fractals, and numerical-based proofs. Situations in which numerical arguments presented in a variety of classroom and real-world situations e. Opportunities in which acceptable limits of error can be assessed e. Students are assigned problems dealing with advanced counting procedures including the use of generating functions for sequences and two variable recurrence relations for the Stirling Numbers.

These techniques are also assessed on the exams. Geometry and measurement from both abstract and concrete perspectives and to identify real world applications, and mathematical concepts, procedures and connections among them including:. Formal and informal argument. Names, properties, and relationships of two- and three-dimensional shapes.

Spatial sense. Spatial reasoning and the use of geometric models to represent, visualize, and solve problems.

Teaching Methods

Transformations and the ways in which rotation, reflection, and translation of shapes can illustrate concepts, properties, and relationships. Coordinate geometry systems including relations between coordinate and synthetic geometry, and generalizing geometric principles from a two-dimensional system to a three-dimensional system.

Concepts of measurement, including measurable attributes, standard and non-standard units, precision and accuracy, and use of appropriate tools. The structure of systems of measurement, including the development and use of measurement systems and the relationships among different systems. Measurement including length, area, volume, size of angles, weight and mass, time, temperature, and money. Measuring, estimating, and using measurement to describe and compare geometric phenomena.

Indirect measurement and its uses, including developing formulas and procedures for determining measure to solve problems. Mathematical concepts, procedures, and the connections among them for teaching upper level geometry and measurement including:.


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Systems of geometry, including Euclidean, non-Euclidean, coordinate, transformational, and projective geometry. Transformations, coordinates, and vectors and their use in problem solving. Discrete Structures—A Common Framework. Graphs and Directed Graphs. Preorders and Partial Orders.

[Discrete Math 2] Introduction to Graph Theory

Complexes and Multicomplexes. Research Problems. Selected Solutions. Jason I. Brown is a professor of mathematics at Dalhousie University. He received a Ph.

Discrete mathematics - Wikipedia

His research interests include graphs, hypergraphs, partial order, finite topologies, and simplicial complexes, with a focus on the applications of other fields of mathematics to discrete problems. You will be prompted to fill out a registration form which will be verified by one of our sales reps. We provide complimentary e-inspection copies of primary textbooks to instructors considering our books for course adoption. Most VitalSource eBooks are available in a reflowable EPUB format which allows you to resize text to suit you and enables other accessibility features.

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