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This course is designed to prepare students for an advanced mathematics curriculum by providing a transition from Calculus to abstract mathematics. The course focuses on the processes of mathematical reasoning, argument, and discovery. Topics include propositional and first order logic, learning proofs through puzzles and games, axiomatic approach to group theory, number theory, and set theory, abstract properties of relations and functions, elementary graph theory, sets of different cardinalities, and the construction and properties of real numbers. Avatar by flickr user bettysnake: https://www.flickr.com/photos/bettysnake/65497164 Header image by flickr user theihno: https://www.flickr.com/photos/theihno/4156207919

This course is designed to prepare students for an advanced mathematics curriculum by providing a transition from Calculus to abstract mathematics. The course focuses on the processes of mathematical reasoning, argument, and discovery. Topics include propositional and first order logic, learning proofs through puzzles and games, axiomatic approach to group theory, number theory, and set theory, abstract properties of relations and functions, elementary graph theory, sets of different cardinalities, and the construction and properties of real numbers. Avatar by flickr user bettysnake: https://www.flickr.com/photos/bettysnake/65497164 Header image by flickr user theihno: https://www.flickr.com/photos/theihno/4156207919

This course examines the historical, philosophical, and sociological foundations underlying the development of American educational institutions. The role of the schools, the aims of education, diverse learners, the mathematics curriculum in New York State, legal principles that affect education, and the role of state, local, and federal agencies will be emphasized.

This course examines the historical, philosophical, and sociological foundations underlying the development of American educational institutions. The role of the schools, the aims of education, diverse learners, the mathematics curriculum in New York State, legal principles that affect education, and the role of state, local, and federal agencies will be emphasized.

This interdisciplinary course examines current environmental issues from a macroeconomic perspective, focusing on both the long and short-term economic viability of various proposals to address current environmental challenges. While the discipline of Economics serves as a central focus, the course draws extensively from the perspectives of Sociology, Psychology, Architectural Technology, Hospitality Management, and Engineering/Environmental Control Technology, among others. Traditional goals of economic efficiency will be examined in the context of the need to expand renewable energy sources, green building design and construction, sustainable agriculture and trade, resource allocation and other efforts to combat climate change on a global scale. It focuses on both the long and short-term economic viability of various proposals to address current environmental challenges drawing upon the inherent interdisciplinary connection to these vital economic issues.

This interdisciplinary course examines current environmental issues from a macroeconomic perspective, focusing on both the long and short-term economic viability of various proposals to address current environmental challenges. While the discipline of Economics serves as a central focus, the course draws extensively from the perspectives of Sociology, Psychology, Architectural Technology, Hospitality Management, and Engineering/Environmental Control Technology, among others. Traditional goals of economic efficiency will be examined in the context of the need to expand renewable energy sources, green building design and construction, sustainable agriculture and trade, resource allocation and other efforts to combat climate change on a global scale. It focuses on both the long and short-term economic viability of various proposals to address current environmental challenges drawing upon the inherent interdisciplinary connection to these vital economic issues.

Topics for the course include sample spaces and probabilities, discrete distributions (Binomial, Negative Binomial, Geometric, Hypergeometric, Poisson, and Gamma), continuous distributions (Uniform, Normal, Chi-squared), expectation and variance, hypothesis testing, interval estimation and confidence intervals. There will be extensive use of MS Excel and R, a statistical software program. At the end of the course, students should be able make meaningful connections between statistics and other areas of study, including and social sciences.

Topics for the course include sample spaces and probabilities, discrete distributions (Binomial, Negative Binomial, Geometric, Hypergeometric, Poisson, and Gamma), continuous distributions (Uniform, Normal, Chi-squared), expectation and variance, hypothesis testing, interval estimation and confidence intervals. There will be extensive use of MS Excel and R, a statistical software program. At the end of the course, students should be able make meaningful connections between statistics and other areas of study, including and social sciences.