Introduction to Mathematical Thought: From the Discrete to the Continuous|
Fall 2014 not offered
In this course we seek to illustrate several major themes. One of the most important is the fact that mathematics is a living, coherent discipline, a creation of the human mind, with a beauty and integrity of its own that transcends, but, of course, includes, the applications to which it is put. We will try to provide a somewhat seamless fusion of the discrete and the continuous through the investigation of various natural questions as the course develops. We try to break down the basically artificial distinctions between such things as algebra, geometry, precalculus, calculus, etc. The topics will be elementary, particularly as they are taken up, but will be developed to the point of some sophistication. One challenge to the students will be to assimilate their previous experience in mathematics into this context. In this way we hope and expect that some of the beauty will show through.
||Gen Ed Area Dept:
|Course Format: Lecture / Discussion||Grading Mode: Graded|
||Fulfills a Major Requirement for: None
Notes will be provided. There may be additional readings as well.
|Examinations and Assignments: |
The focus of the course will be on weekly homework and in-class discussions.
|Additional Requirements and/or Comments: |
This course is a First-year Initiative course, open only to first-year students. Sophomores may be allowed to add the course if it is not full. Since the flow of ideas in the course is one of its fundamental features, class attendance is required. The course carries an NSM designation.
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