MATH 1700: ALGEBRA FOR TECHNOLOGY

3 Credit Course
Offered in Lab or Lecture Format
Prerequisite required  (MATH 0600 with a grade of A, B, or C; or Appropriate Placement-Test score)

SYLLABUS

I. REVIEW OF FUNDAMENTAL CONCEPTS

A. Techniques for solving linear equations
B. Solving formulas for a specified variable
C. Word problems

II. ALGEBRAIC FRACTIONS

A. Multiplication and division of fractions
B. Addition and subtraction of fractions
C. Equations involving fractions

III. RADICALS

A. Examples of radicals
B. Removing all perfect nth powers from the radicand of a radical of order n
C. Operations with radicals
        1.
        2.
        3.

D. Rationalizing denominators (including conjugates)
E. Equations with square-root radicals

IV. RATIONAL EXPONENTS

A. Non-negative integral exponents
B. Zero and negative-integral exponents
C. Fractional exponents
D. Operations with exponents
        1.
        2.
        3.
        4.
        5.

E. Converting from radical form to exponential form
        1.
      2.

V. LINEAR EQUATIONS

A. Distance between two points
B. Slope of a line
C. Parallel lines
D. Perpendicular lines
E. Determining the equation of a straight line
        1. Slope-intercept
      *2.     Point-slope
        3. Vertical lines
        4. Horizontal lines
F. Graphing linear equations
        1. Plotting points
        2. Plotting intercepts
      *3. Slope-intercept

VI. SYSTEMS OF TWO LINEAR EQUATIONS IN TWO VARIABLES

A. Types of systems
        1. Unique solution
        2. No solution
        3. Infinite number of solutions
B. Methods of solution
        1. Graphical
        2. Substitution
        3. Elimination by addition
        4. Cramer's rule
C. Word problems

VII. SYSTEMS OF THREE LINEAR EQUATIONS IN THREE VARIABLES

A. Types of systems
        1. Unique solution
        2. No solution
        3. Infinite number of solutions
B. Methods of solution
        1. Elimination by addition
        2. Cramer's rule
*C. Word Problems

VIII. QUADRATIC EQUATIONS

A. Review of solving by factoring
B. Solving by the quadratic formula

IX. LOGARITHMS

A. Definition
B. Base 10 logarithms of positive numbers
C. Antilogarithms of numbers
D. Laws of logarithms
        1. log (ab) = log a + log b
        2. log = log a - log b
        3. log ba = a log b

E. Solving for a specified variable using the laws of logarithms

*Optional

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