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This offering attempts to stimulate the ability to engage in logical
thinking and to critically read the technical information with which our
contemporary society abounds. The approach is based upon exercises which
are embedded in many concepts encountered in mathematics courses at the
high school level. The aim of each exercise is to develop a conceptual
understanding and appreciation for problem solving, not computational
expertise, an ability to reason precisely, a capability to translate a
verbal quantitative problem into a mathematical model, and abstract and
rigorous though processes. The only prerequisite is elementary
functions. The most important attribute you, the student, can bring to
this course is curiosity. Take a problem and use anything and everything
you know to solve it. Think about it; if necessary put it aside, but
keep it in mind; come back to it; share your ideas with others, with a
helpful hint you then may be able to obtain a solution. The more you get
involved with the exercises, the more benefits you will derive. If you
approach the exercises conscientiously, you will find that you will not
only become a better problem solver but your general thinking processes
will benefit from the experience.
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