ba_section1.1.1 - section 1.1.1 Mathematic Symbols...

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© 2015 by Kendall Hunt Publishing Company 1 section 1.1.1: Mathematic Symbols “Mathematics” is an iconic (visually symbolic) language. Consequently, there are a variety of symbols that we will use throughout this course, and we need to define these now so that you can make sense of what we write later on. Now, all languages have words and grammar (structure). For mathematics, the words are composed of terms and factors, while the order of operations defines the grammar . o Terms can only be added or subtracted ; o Factors can only be multiplied or divided . o In combination, terms and factors come together to create expressions, while separating two expressions with, say, an equals sign creates well, obviously an equation (because we equate two expressions). Meanwhile, our grammar is commonly known as “PEMDAS,” or Please Excuse My Dear Aunt Sally, i the order of mathematical ii operations: Parentheses, Exponents, Multiplication, Division, Addition, and Subtraction. Then there are the symbols we often use, which serve as a kind of shorthand notation, almost like “slang.” o = such that o = member or element of ; this is used a lot when we talk about sets of things, e.g., x { } which translates as “x is a member of th e set of Real numbers.” We could also write this example in interval notation (see below): x (- , ). Also, as we will soon learn, matrices are a kind of set insofar as they are also composed of elements.
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  • Fall '08
  • SEAL
  • Math, Complex number, Greek alphabet, Kendall Hunt Publishing, Hunt Publishing Company, Kendall Hunt Publishing Company

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