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MATH 230: Mathematical Topics in the Social Sciences I (UH)
3.00 Credits
Catholic University of America
A rigorous mathematical treatment of the following topics: 1. Theory of social choice including a critical approach to different vote-aggregation procedures and a study of their vulnerability to manipulation; Condorcet paradox and the intransitivity of the pair-wise majority rule; other paradoxes of collective choice; May's theorem. 2. Yes-No voting: Banzhaf and Shapley-Shubik indices of political power, their paradoxes and the formal mathematical relation between them; swap and trade robustness; vector-weightedness and dimension of a yes-no voting system.
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MATH 230 - Mathematical Topics in the Social Sciences I (UH)
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MATH 305: Fundamentals of Advanced Mathematics
3.00 Credits
Catholic University of America
Prepares sophomore-level mathematics majors and minors for upper-level mathematics. Emphasis on problem-solving techniques and practice, covering topics and concepts common to all upper-level courses, including: sets, functions, relations, cardinality, first-order logic and proof-techniques, core material in elementary number theory, combinatorics, rational and irrational numbers, and the real number field. Additional topics selected by instructor, as time permits. Prerequisite: 122.
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MATH 305 - Fundamentals of Advanced Mathematics
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MATH 309: Probability and Statistics for Engineers
3.00 Credits
Catholic University of America
Course intended for engineering students and students working towards obtaining a minor in mathematics. Introduction to probability, random variables and probability distributions, mathematical expectations, discrete and continuous probability distributions, sampling distributions, point and interval estimation, hypothesis testing. Time permitting - simple linear regression and correlation will also be covered. Prerequisite: MATH 221
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MATH 309 - Probability and Statistics for Engineers
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MATH 330: Mathematical Topics in the Social Sciences II (UH)
3.00 Credits
Catholic University of America
A rigorous mathematical treatment of the following topics: 1. Apportionment of the House of Representatives with focus on the mathematical theory and the paradoxes involved; history and development of apportionment procedures from the early contributions of Alexander Hamilton and Thomas Jefferson to the currently used Hill-Huntington procedure; the impossibility theory of Balinski and Young; different measures of inequity and the alternative approach to the apportionment problem through equity considerations. 2. Social Welfare theory including a thorough treatment of Arrow's impossibility theorem and Arrow's axioms of unrestricted domain, collective rationality, weak Pareto and independent of irrelevant alternatives; dictatorship, oligarchy and the weakening Arrow's axioms.
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MATH 330 - Mathematical Topics in the Social Sciences II (UH)
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MBU 100: Introduction to Business
3.00 Credits
Catholic University of America
A survey of the conceptual foundations and organizations of American business since World War II. Emphasis on the production process within the private sector and analysis of the contribution of capital, labor, and management.
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MBU 100 - Introduction to Business
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MBU 105: Business Mathematics
3.00 Credits
Catholic University of America
A foundation course in mathematics designed to refresh the individual in the business uses of math. Covers material on fractions, percentages, ratios, proportions, introductory algebra, simple and compound interest, discounts, loans, and set theory. Also stresses hand calculators and computers.
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MBU 105 - Business Mathematics
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MBU 110: Accounting I
3.00 Credits
Catholic University of America
A two-semester offering. Begins with analysis of accounting concepts, assumptions, and principles; progresses to evaluation of accounting data for management and decision making.
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MBU 110 - Accounting I
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MBU 111: Accounting II
3.00 Credits
Catholic University of America
A two-semester offering. Begins with analysis of accounting concepts, assumptions, and principles; progresses to evaluation of accounting data for management and decision making.
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MBU 111 - Accounting II
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MBU 140: Principles of Economics
3.00 Credits
Catholic University of America
Provides a broad explanation of the American socioeconomic system as well as the factors affecting behavior and decision making by various units and institutions operating within the system.
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MBU 140 - Principles of Economics
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MBU 141: Macroeconomics
3.00 Credits
Catholic University of America
An introduction to modern economic analysis and its implications. Centers on the applications of economic theory to national policy problems such as growth, inflation, unemployment, and government expenditures and taxation. Provides a broad introduction to the understanding of the American socioeconomic system.
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MBU 141 - Macroeconomics
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