Foundations of Mathematics
I. BASIC COURSE INFORMATION
- Course Title:
Foundations of Mathematics
- Course Number:
MAT150
- Course Name:
Mathematics
- Credit Hours:
3
- Semesters Offered:
Fall/Spring
- Prerequisite:
Mat 030 Algebra I, Com 061 Advanced Reading: Speed and Comprehension
II. COURSE DESCRIPTION
This course places as much emphasis on the modern mathematical ideas and their meaning as on computation. Topics included are set theory, logic, systems of numeration, mathematical systems, counting theory, probability, statistics, and geometry.
III. RATIONALE OF COURSE
The purpose of the course is to give insight into some of the more uncommon areas of mathematical thought. As many of these areas require the learning of methods of investigation rather than memorization, the main goal is that the student should be able to transfer his knowledge of logical investigation of mathematics to other fields of study.
IV. COURSE COMPETENCIES
- Interpret mathematical language.
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Judge an argument as to whether it follows the rules of deductive reasoning.
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Interpret magnitudes of numbers.
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Interpret probability statements.
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Calculate the following statistical measures and explain their use: mean, median, mode, midrange, range, standard deviation.
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Interpret data presented in graphical form.
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Organize information.
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Solve problems involving areas and perimeters of triangles and rectangles, areas and circumferences of circles, and volumes and surface areas of boxes and cylinders.
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Use proportional reasoning to perform calculations involving similar triangles.
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Solve problems involving the Pythagorean Theorem.
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Interpret and use metric units.
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