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Mathematics Standards of Learning for Virginia Public Schools ? February 2009 Discrete Mathematics The following standards outline the content of a one-year course in Discrete Mathematics. If a one

Each set is thought of as having a number of elements, and each set is thought of as related to the set that contains it. A system is described as a collection of set elements arranged or connected in a certain way. The principles underlying the Discrete Mathematics are the same principles governing algebraic manipulations of numbers, sets, and systems of numbers. A sequence of numbers is a sequence of elements as well. Each sequence of numbers can be described as either a number or a set. Each system of numbers can be thought of as a collection of sets as well. Each sequence of sets represents a group of number, either a finite number or a number-set. The set of all numbers can be regarded as the collection of all sets. The following list of standards describes how to satisfy the standards described below. Include material in English Language Arts. Students must take one course that includes at least one foreign language as part of the course. Students also must study English composition in addition to English Language Arts. . Students must take one course that includes at least one foreign language as part of the course. Students also must study English composition in addition to English Language Arts. Have one coursed that is not a major subject taken each year. Students will be considered to have met the requirements if a course taken for college credit consists of course content that is directly related to the standards in this section. Students may take courses from more than one department. Required Courses in Discrete Mathematics The Discrete Mathematics Standards have different standards of graduation depending on the discipline of the course. Students wishing to graduate will need to satisfy at least one of the following standards of graduation. College Credit Students must complete two courses from any department. These two courses must be one of two: Math 21A or Math 21B from the College of General Studies (CS) or Math 21C or Math 21D from the College of Engineering (E) or Math 21E or Math 21F from the College of Health, Science & Recreation (H). Discrete Mathematics from the College of Engineering does not fulfill the mathematics standards of the College of General Studies. Students may take College courses as electives. They must be taken at the college level. Graduate Credit Students must complete three courses (one course from each of the two majors in the College of Engineering and the other course from the College of General Studies) from any department, as listed in this section.

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