Maricopa Community Colleges  DFT106   19956-19965 
Official Course Description: MCCCD Approval: 06/27/95
DFT106 19956-19965 LEC 3 Credit(s) 3 Period(s)
Algebra and Graphs for Design Technology
Algebraic principles and applications used in the design trades. Additional topics in the use of rectangular coordinates. Prerequisites: MAT077 or equivalent, or 1 year of high school algebra, or permission of department.
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MCCCD Official Course Competencies:
 
DFT106   19956-19965 Algebra and Graphs for Design Technology
1. Use the hand calculator to evaluate problems. (IA-I, IIG)
2. Identify and manipulate (add, subtract, multiply, and divide) signed numbers in the machine tool (CNC) and design environments. (IA)
3. Identify and manipulate (add, subtract, multiply, divide, and factor) monomials and polynomials in the design environment. (IB-D)
4. Identify and solve linear equations, fractional equations, literal equations of more than one variable (formulas) for light engineering applications. (IE)
5. Identify quadratic equations and solve them using factoring or formula. (IE)
6. Solve scheduling and other slack variable problems using linear inequalities. (IE)
7. Identify exponents and provide rules for their behavior, including their use in scientific notation. (IF)
8. Identify and manipulate radicals and roots and their associated equations. (IG)
9. Solve simultaneous equations in two or more unknowns using elimination or the method of determinants. (IH)
10. Manipulate algebraic and complex fractions. (IJ)
11. Use Cartesian coordinate systems in the plane to graph functions and analyze slopes in building design problems. (IIA-E)
12. Graph empirical data. (IIF)
13. Graph logarithmic data and provide rules for the behavior of logarithms in general. (IIG)
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MCCCD Official Course Outline:
 
DFT106   19956-19965 Algebra and Graphs for Design Technology
    I. Algebra
        A. Signed numbers
          1. Addition and subtraction
          2. Multiplication and division
          3. The CNC environment and other applications
        B. Monomials
          1. Addition and subtraction
          2. Multiplication and division
          3. Applications
            c. Polynomials
          1. Addition and subtraction
          2. Multiplication and division
          3. Applications
        D. Factoring
          1. Removing a common factor
          2. Trinomial factoring
          3. Higher degree equations
          4. Applications
        E. Equations and light engineering problems
          1. Linear equations in one unknown: solutions and applications
          2. Fractional equations: solutions and applications
          3. Linear inequalities: rules and applications
          4. Formulas: solutions for literals and applications
          5. Word problems: expressing, solutions, and applications
          6. Quadratics: solutions by factoring and by quadratic formula, and applications
        F. Exponents
          1. Laws of exponents
          2. Scientific notation
        G. Radicals and roots
          1. Evaluation
          2. Radical equations
          3. Applications
        H. Simultaneous equations
          1. In two unknowns: solution by elimination and by determinants
          2. In three unknowns
          3. Applications
        I. Algebraic fractions
          1. Simple fraction manipulation
          2. Complex algebraic fractions
      II. Graphical analysis
          A. Rectangular coordinates
          B. The first-degree equation
            1. Slope-intercept form
            2. Point-slope form
            3. Building design analysis using slope
          C. Linear functions in general
          D. Graphs of centered second-degree equations
          E. Solution of simultaneous equations
          F. Empirical data treatment
            1. Direct variation
            2. Inverse variation
            3. Joint variation
          G. Logarithms
            1. Algebraic treatment
            2. Graphical treatment
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