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• Mathematics deals with the logic of shape, quantity, and arrangement
• Arithmetic is the branch of mathematics that deals with the study of numbers using various operations on them
• Four basic operations in arithmetic are addition (+), subtraction (-), multiplication (x), and division (÷)
• In arithmetic, 2 + 3 = 5
• Algebra is a generalization of arithmetic where letters representing numbers are combined according to arithmetic rules
• Variables used in algebra include X, Y, π, θ
• An example algebraic equation is 5 + x = 7, where X=2, resulting in 5 + 2 = 7
• Geometry comes from "Geo" meaning Earth and "Metry" meaning to measure
• Analytic Geometry includes Plane and Solid Geometry
• An example in Analytic Geometry is the points (1,3) and (-3,-1)
• Trigonometry deals with the study of the relationships between the angles and sides of triangles
• Analysis in mathematics deals with limits, differentiation, integration, measure, infinite series, and analytic functions
• Digits


  Single symbol used to make numerals
• Digits


  • 0
  • 1
  • 2
  • 3
  • 4
  • 5
  • 6
  • 7
  • 8
  • 9
• Numerals


  Symbol/s that stands for a number
• Numbers


  Count or measurement that is really an idea or the Meaning in our mind
• Galileo Galilei: 'Mathematics is the language in which God has written the universe'
• Mathematics as a Language

  • Uses symbols to relay certain meaning
  • Must be used and understood by a group of people
  • Systematic
• English


  Math
• Comparison of English and Math

  • Sentence
  • Math Statement
• Components of Math Statements

  • 1
  • 2
  • +
  • =
  • 3
• Components of Math Statements

  • 1
  • 1
  • +
  • =
  • 2
  • Noun
  • Verb
• True or False


  Evaluation of Math Statements
• Math Statement


  • 1+4=6
• Math Statement 1+4=6 is False
• Math Statement


  • 1+4=6
  • 8+4≠11
• Math Statement 1+4=6, 8+4≠11 is False, True
• Grammar Error


  Errors in English
• Syntax Error


  Errors in Math
• Syntax Error


  • =2-÷9
  • -9÷2=
  • 4(6+2=
• Semantic Error


  Errors in Math
• Semantic Error


  • 2 + 2 x 5 =
• Math Error


  Errors in Math
• Art


  Something that is perennially around us. Some people may deny having to do with arts but it is indisputable that life presents us with many forms of and opportunities for communion with the arts.
• Art (from Latin ars)


  A craft or specialized form of skill, like carpentry or smithying or surgery
• Art (in Medieval Latin)

  Any special form of book-learning, such as grammar or logic, magic or astrology
• Fine arts


  Beautiful arts, not delicate or highly skilled arts
• Types of art


  • 2-dimensional (paintings, drawings, prints)
  • 3-dimensional (sculptures, ceramics)
  • 4-dimensional (performance art, kinetic art, video art, sound art)
• The arts constitute one of the oldest and most important means of expression developed by man. Human history has witnessed how man evolved not just physically but also culturally, from cave painters to men of exquisite paintbrush users of the present
• PLATO: 'Art tries to reach the ideal (the God-like)'