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The rst problem with determinants is to decide on a denition. Most texts use complicated
algebraic calculations to dene them and to explain their main properties. The following geometric
approach, developed by John Hannah and Bill Baritompa here at Cant
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Linear equations and matrices
One of the most important problems in mathematics is that of solving a system of linear equations.
Such linear systems arise in applications in areas as diverse as business, economics, sociology, ecology, demography, gene
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A review
(A.C. 10th Appendix E and F)
Numbers
Much of calculus is based on properties of the real numbers. The real numbers can be represented
geometrically as points on a number line, called the real line. The real numbers (or equivalently,
the real
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There were four major problems confronting mathematicians in the 17th century:
Calculating the
instantaneous velocity
of a moving body.
Area under
a curve
All solved by
CALCULUS!
Maximum/minimum
problems
Finding the slope of the line that is
tangent to