Students learn the basic principles of combinatorics by working through problems and several small projects. They meet binomial coefficients and Pascal's Triangle. This chapter develops students' understanding of elementary number theory through the study of creating and cracking codes. Complex Numbers and Trigonometry Students investigate algebraic and geometric properties of complex numbers and trigonometric functions, developing the addition formulas for sine and cosine, graphs of trigonometric functions, and connections to the geometry of regular polygons. This is a historical and informal development of the problem of finding areas.
Students tie together many of the earlier ideas of the text.
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