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MAT 107: Introduction to Probability And Statistics
3.00 Credits
St. Joseph's University New York
This course offers an introduction to probability and statistics. It is designed to provide a common foundation for the more specialized material presented in the various statistics course offered in other quan- titative departments. Material covered includes: probability models, ran- dom variables and probability distributions (both discrete and continu- ous), descriptive statistics, inference, sampling and hypothesis testing. 3 hours a week, 1 semester, 3 credits. Spring
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MAT 107 - Introduction to Probability And Statistics
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MAT 113: Elementary Functions: Precalculus
3.00 Credits
St. Joseph's University New York
Introduction to the concept of functions: their graphs, elementary properties, geometric transformations, inverses and their algebra. Elementary functions (linear, polynomial, rational, exponential, logarith- mic and trigonometric) are introduced and their properties discussed. Designed for those who intend to go on to a calculus course. Prerequisite: 11th year mathematics or equivalent. Not open to students who have completed any 200 level math course 3 hours a week, 1 semester, 3 credits. Fall, Spring
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MAT 113 - Elementary Functions: Precalculus
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MAT 200: Mathematics For Business And Economics
3.00 Credits
St. Joseph's University New York
This course includes the study of matrices, linear programming, the simplex method and the mathematics of finance. Basic business appli- cations of precalculus mathematics will be discussed. Prerequisite: MAT 113 or equivalent. Not open to students who have completed MAT 205. 3 hours a week, 1 semester, 3 credits. Fall
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MAT 200 - Mathematics For Business And Economics
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MAT 203: Mathematical Foundations of Computer Science
3.00 Credits
St. Joseph's University New York
The emphasis will be on algorithmic problem solving and discrete mathematical concepts including logic, sets, Boolean algebra, relations, functions, induction and recursion, counting principles and combina- torics, graphs and trees. Use of the computer as a problem-solving tool will be integrated with the theory. Fundamental algorithms including sorting, searching and tree traversal will be introduced. Prerequisite: MAT 113 or equivalent. 4 hours a week, 1 semester, 4 credits. Fall 2007, 2009 This course will focus on analytical geometry and trigonometric func- tions and their properties. Amongst the topics considered under analyt- ic geometry are the conic sections and their general quadratic equation along with polar and parametric equations. The topics covered under trigonometric functions include the inverse functions, trigonometric identities and the trigonometric representation of the complex numbers. Prerequisite: MAT 113 or equivalent. 3 hours a week, 1 semester, 3 credits. Spring
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MAT 203 - Mathematical Foundations of Computer Science
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MAT 205: Calculus And Analytic Geometry I
3.00 Credits
St. Joseph's University New York
Limits, continuity, differentiation, elementary integration and other topics. The study of calculus is enhanced through the use of computer software such as Maple. Prerequisite: MAT 113 or equivalent. 4 hours a week, 1 semester, 4 credits. Fall
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MAT 205 - Calculus And Analytic Geometry I
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MAT 206: Calculus And Analytic Geometry II
3.00 Credits
St. Joseph's University New York
Differentiation and integration of logarithmic and exponential func- tions. Techniques for computing integrals are developed and applica- tions of integration such as volumes of various solids are explored. Differentiation and integration of inverse functions, including trigonomet- ric functions, is examined. Material is illustrated and enhanced by the use of software packages such as Maple. Prerequisite: MAT 205 with a minimum grade of C-. 4 hours a week, 1 semester, 4 credits. Spring
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MAT 206 - Calculus And Analytic Geometry II
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MAT 207: Calculus And Analytic Geometry III
3.00 Credits
St. Joseph's University New York
Infinite series and their convergence is explored and the Taylor series expansion for differentiable functions is developed. Parametric equations and polar functions are considered. Vectors in two and three dimensions along with their algebras are explored. Lines, planes and various families of surfaces in three dimensional space are considered. Material is illus- trated and enhanced by the use of software such as Maple. Prerequisite: MAT 206 with a minimum grade of C-. 4 hours a week, 1 semester, 4 credits. Fall
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MAT 207 - Calculus And Analytic Geometry III
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MAT 208: Advanced Calculus
3.00 Credits
St. Joseph's University New York
Functions of several variables are introduced and studied. The calcu- lus is redeveloped in this context. Gradients, directional derivatives, tan- gent planes and normal lines along with relative and absolute extrema are considered. Line, contour and multiple integration is explored.Vector fields and their calculus are studied.Material is illustrated and enhanced by the use of software packages such as Maple. Prerequisite: MAT 206 with a minimum grade of C-. 4 hours a week, 1 semester, 4 credits. Spring
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MAT 208 - Advanced Calculus
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MAT 241: History of Mathematics
3.00 Credits
St. Joseph's University New York
This course presents the development of mathematics from the ancient times to the present. Major advances in the field are examined in some depth and how these breakthroughs contributed to the growth of the discipline as a whole is considered. Topics include the birth of the axiomatic system as exemplified by Euclidean geometry, the prescience of Archimedes, the study of roots of polynomials, the development of the calculus and much more. Prerequisite: MAT 205. Recommended for prospective teachers. 3 hours a week, 1 semester, 3 credits. Fall 2008, 2010
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MAT 241 - History of Mathematics
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MAT 246: Probability And Statistics
3.00 Credits
St. Joseph's University New York
A calculus based course in the basic concepts of probability and statistics. Topics include: descriptive and inferential statistics, measures of central tendency and dispersion, sample spaces and events, proba- bility axioms, counting techniques, conditional probability and independ- ence. Also included are Bayes' Theorem, expected value, discrete and continuous random variables, probability density functions, various distribution functions and moments, Chebyshev's Theorem and the Central Limit Theorem. Prerequisite: MAT 206 or departmental permission. 3 hours a week, 1 semester, 3 credits. Fall 2007, 2009
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MAT 246 - Probability And Statistics
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