Understanding and Teaching
Short Description
Introduction to linear algebra: matrix theory; geometric. transformations. Elementary linear programming. Trigonometry:. The naïve approach. “Circle-ometry” …
Website: www.spcs.neu.edu | Filesize: 104kb
Content
FUNCTIONS AND TRIGONOMETRY
MTH 3 603
Instructor: James Tanton
St. Mark’s Institute of Mathematics
mathinstitute@stmarksschool.org
Dates:
Six days: 9:00 a.m. - 2:30 p.m.
Dates: July 18, 19, 20, 24, 25, 26
Texts: Details about course-notes and their availability to be announced.
Course Description and Possible Outcomes: This course, aimed at middle school and high school teachers, serves both as a precursor to a course in calculus or as a stand-alone course in the methods of advanced algebraic thinking. The concept of a “function,” per se, is relatively new in the development of mathematics - Swiss mathematician Leonhard Euler (1707-83) was the first to formulate the notion - and as such plays a curious role in the development of mathematical thinking.
This course begins with an introduction to the study of functions - their definition, application, methods of manipulating them, generalized notions (so called “multi-valued functions” and “relations”), and their algebra. The act of graphing functions provides ties to geometry. Unlike most approaches to function theory, this course will utilize innovative geometric insights to provide a sound and comprehensive perspective to the topic. The study of…
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