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Course Criteria
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3.00 Credits
3 cr. 3 hr. Informal Number Theory focuses on the group properties of the real number system as the foundations for computational algorithms in arithmetic, the basic conceptual underpinnings of algebra, and problem solving methods using either arithmetic or algebra. The importance of place value in number systems, divisibility properties, and connections between numbers and geometry, and problem solving in various contexts will be stressed. This course is restricted to education majors. Pre-requisite: Mathematics Readiness Requirement.
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3.00 Credits
3 cr. 3 hr. This course will cover relations, patterns and functions using multiple representations and focusing on the manner in which these concepts connect to mathematical ideas specified in the Massachusetts Mathematics Curriculum Frameworks. Linear and quadratic functions will be covered in depth and the students will be exposed to basic exponential, polynomial and rational functions. Applications will be included throughout the course. Topics chosen from the following will be included as time permits: transformations of functions, logarithmic, root and absolute value functions. For education majors only. Prerequisites: Math Readiness Requirement and MATH 1500 or equivalent.
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3.00 Credits
3 cr. 3 hr. Methods of data collection, organization and interpretation, sampling, probability, estimation, and testing are applied to areas including biology, business, medicine, economics and education. Credit is not awarded for both MATH 1700 and MATH 1800. Q, SMT
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3.00 Credits
3 cr. 3 hr. Topics covered in this course include descriptive methods, probability distributions, estimation, testing, analysis of variance and regression analysis. (Credit is not awarded for both MATH 1700 and MATH 1800.) Q, SMT Prerequisite: MATH 1250 or MATH 1300.
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1.00 Credits
1 cr. 1 hr. This course will consist of a series of talks given by members of the Applied Mathematics community (either in academia or industry) demonstrating an application of applied mathematics with preparatory and follow-up work. The goal of the course is to present students with real-world applications of mathematics and pique their interests. It will introduce students to possible areas of study and the mathematics used in the talks. They are also introduced to background mathematics that will be used in the talks, which will give them motivation for a thorough grounding in mathematics. Prerequisites: MATH 1300, 2300 (co-requisite)
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3.00 Credits
3 cr. 3 hr. This course introduces discrete mathematics as applied to computer science. Topics covered include Boolean logic, elementary set theory, functions, relations, enumeration, proof techniques, number systems and trees. Q, SMT (Credit is not given for both CSC 1900 and MATH 1900.) Prerequisite: Math 1250 or Math 1300 or permission of department.
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3.00 Credits
3 cr. 3 hr. This course involves an intuitive study of basic geometry and its concepts. Topics include: symmetry, symmetry groups, properties of polyhedral, properties of circles and polygons, measurement and scaling. This course is particularly appropriate for future K-8 teachers. Q, SMT Prerequisite: ENGL 1200 or MATH 1200
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3.00 Credits
3 cr. 3 hr. Technical Calculus covers topics, such as limit and continuity, which support the concept of a derivative or an instantaneous rate of change. After the study of Isaac Newton's derivative, the limit definition of the derivative, and techniques of differentiation, Technical Calculus introduces applications of derivatives with special attention to building, planning and architecture. Q, SMT Pre-requisite: MATH 1300 or equivalent.
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3.00 Credits
3 cr. 3 hr. This course surveys methods and applications of the calculus for functions of one variable, which are useful in business and economics. Topics include differentiation with applications to rates and maximum and minimum values, integration techniques with applications to areas, cost and rates. (Credit is not awarded for both MATH 2200 and MATH 2300.) Q, SMT Prerequisite: MATH 1250 or MATH 1300.
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4.00 Credits
4 cr. 5 hr. The derivative of a function, methods of differentiation and applications are studied. This course includes a computer laboratory component using computer algebra software. (Credit is not awarded for both MATH 2200 and MATH 2300.) Q, SMT Prerequisite: MATH 1300 or its equivalent.
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