Linear Programming: Simplex Method and Sensitivity Analysis.
Ma 162 Finite Math Fall 2006 Topics: linear models, systems of linear equations, Matrix methods,...
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Transcript of Ma 162 Finite Math Fall 2006 Topics: linear models, systems of linear equations, Matrix methods,...
Ma 162 Finite Math Fall 2006
Topics: linear models, systems of linear equations,Matrix methods, linear optimization: graphical and simplex methods, business math, counting problems and probability problems.
Plane Analytic geometry: coordinate system, quadrants,distance function. Solution set of an equation in two variables.Lines: vertical, horizontal, nonvertical,
x-intercept of a line, y-intercept of a line.
Parallel lines, perpendicular lines
Linear function, slope, intercepts
General equation of a line in the plane
ax + by = c a or b not zero.
Vertical line Horizontal line
Problem: Suppose ax + by = c is the equation of a nonvertical line. What is the slope of the line in terms of a, b, c?
Problem: When does the line ax + by = c have an x-interceptAnd what is it in terms of a, b, and c?
Many times the relationship between variables is linear.
Problem: Find the linear equation relating fahrenheittemp F to centigrade temp C. Use the facts that C=0 whenF = 32 and C=100 when F = 212.