Ma 162 Finite Math Fall 2006 Topics: linear models, systems of linear equations, Matrix methods,...

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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.

Transcript of Ma 162 Finite Math Fall 2006 Topics: linear models, systems of linear equations, Matrix methods,...

Page 1: Ma 162 Finite Math Fall 2006 Topics: linear models, systems of linear equations, Matrix methods, linear optimization: graphical and simplex methods, business.

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.

Page 2: Ma 162 Finite Math Fall 2006 Topics: linear models, systems of linear equations, Matrix methods, linear optimization: graphical and simplex methods, business.

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

Page 3: Ma 162 Finite Math Fall 2006 Topics: linear models, systems of linear equations, Matrix methods, linear optimization: graphical and simplex methods, business.
Page 4: Ma 162 Finite Math Fall 2006 Topics: linear models, systems of linear equations, Matrix methods, linear optimization: graphical and simplex methods, business.

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?

Page 5: Ma 162 Finite Math Fall 2006 Topics: linear models, systems of linear equations, Matrix methods, linear optimization: graphical and simplex methods, business.

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.