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Course Criteria
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3.00 Credits
This course is an introduction to quantitative methods as applied to statistical reporting and data analysis. It will incorporate some or all of the following: Techniques for obtaining, analyzing and presenting data in numerical form; measures of central tendency and dispersion; the normal distribution curve; standard scores; applicability of probability and sampling theory to statistical research; interpretation of confidence intervals; hypothesis testing; correlation; linear regression. Students cannot receive credit for both MAT 140 and MAT 150. This course cannot be used by mathematics majors to fulfill mathematics major program requirements. This course is designed for students who have completed MAT 105-College Algebra or have completed a minimum of two years of high school algebra. A graphing calculator is required for this course.
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3.00 Credits
This course in an introduction to the study of Biostatistics intended for students of the life science disciplines. It is an overview of the statistical methods for obtaining, analyzing and presenting data in numerical form that are most often used in the area of life sciences. A problem-based approach using real data in various life science fields will be used to illustrate various statistical procedures as well as basics of elementary applied statistics. Students cannot receive credit for both MAT 140 and MAT 150. This course cannot be used by mathematics majors to fulfill mathematics major program requirements. This course is designed for students who have completed MAT 105-College Algebra or have completed a minimum of two years of high school algebra. A graphing calculator is required for this course.
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3.00 Credits
The goal of this General Education introductory-level course is to acquaint the student with the nature and spirit of mathematics terminology, fundamental principles, generalizations, and their application to problem solving through study of a broad spectrum of topics. The underlying thrust of the course will be to bolster the students' analytical and critical thinking skills, and to develop the ability to effectively communicate the rationale behind this thinking. Areas of coverage will include Problem Solving Strategies and Techniques, Set Theory, and at least three additional appropriate areas of Mathematical Inquiry. Applications of the mathematical concepts and techniques taught in this course will also be illustrated. This course cannot be used by mathematics majors to fulfill mathematics major program requirements.
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3.00 Credits
This course is applicable in the Honors Program and is open to any student in the honors program as well as to any student having completed at least 15 s.h. of study at Kutztown University with a grade point average of 3.00 or greater. This course, divided into three to five segments, provides for study of concepts, procedures and applications in several mathematical disciplines. Topics studied will be drawn from the following areas: mathematical thought processes, history of mathematics, mathematics of finance, statistics, operations research, number theory, graphs as mathematical models, and finite geometries. This course cannot be taken for credit by mathematics majors in Secondary Education or the College of Liberal Arts and Sciences. Credit for the course can be applied in Categories IV or V in General Education.
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4.00 Credits
This course is one of a series intended for students who major in mathematics, the sciences, or engineering. The topics include the definition and calculation of limits, continuity and differentiability, differentials, derivatives of algebraic and transcendental functions, the application of derivatives to graphing, antiderivatives, and the introduction of the definite integral, applications of definite integrals; and some techniques of integration. A graphing calculator and use of a Computer Algebra System are required for this course. At least two years of high school algebra and/or trigonometry is strongly recommended.
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4.00 Credits
This course is one of a series intended for students who major in mathematics, the sciences, or engineering. The topics include the definition, properties, and applications of definite integrals, properties, derivatives, and integrals of exponential, logarithmic, trigonometric, inverse trigonometric, and hyperbolic functions with applications; techniques of integration; indeterminate forms and improper integrals; sequences, series, and convergence tests; differentiation and integration of power series; and polar integrals. A graphing calculator and use of a Computer Algebra System are required for this course.
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1.00 Credits
This course involves individual independent study in mathematics under the direction of a mathematics faculty member. This study can be carried out in any area of mathematics or its application that is not a topic covered in depth in any regular mathematics course offering at the University. The student works with a faculty tutor who advises the student in choice of material. The student meets with the advisor frequently to discuss the topic studied. This course may be repeated for a total of up to 2 credits cumulative and for a total of up to 6 credits cumulative combined with credits from MAT 290, 390, and Math 490.
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3.00 Credits
This course is an introduction to mathematical computing and typesetting. Topics will include the syntax and programming interface of a computer algebra system that is commonly used in mathematics, methods to solve mathematical problems, and document preparation in the typesetting language LaTeX. The computer algebra system will be used to solve problems drawn from algebra, calculus, differential equations, probability, statistics, discrete mathematics, and modeling. Problems may involve root-finding, solving equations, splines, graphics, power series, numerical integration, numerical approximations of solutions of differential equations, mathematical modeling, data analysis and curve fitting, cryptography, graph theory, number theoretic computations, and possibly others depending on the interests of the students and instructor. Results from the projects will be typeset in LaTeX.
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3.00 Credits
This course explores the development of mathematics over a period of four millennia--from the time of ancient civilizations to the present. It studies how diverse cultures from almost all parts of the world Babylonia and Egypt, Greece, China, India, The Middle East, Europe and later the Americas, have contributed to the growth of the discipline of mathematics. This course addresses mathematical methods that were used and contributions that were made by specific mathematicians and cultures. The diverse perspectives at different periods of history that contributed to, and at times hindered, the growth of mathematics are studied.
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3.00 Credits
This course is designed to prepare the student for the study of advanced mathematics. Topics include fundamentals of logic, proof strategies, the algebra of sets; relations, including equivalence relations; functions and their properties; countable sets and counting techniques; ordered and well-ordered sets. This course should be taken only after the student has taken at least two college-level mathematics courses.
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