Ma 162 Finite Math Fall 2006 Topics: linear models, systems of linear equations, Matrix methods, linear optimization: graphical and simplex methods, business.

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Presentation transcript:

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-intercept And what is it in terms of a, b, and c?

Many times the relationship between variables is linear. Problem: Find the linear equation relating fahrenheit temp F to centigrade temp C. Use the facts that C=0 when F = 32 and C=100 when F = 212.