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Advanced High-School Mathematics

Advanced High-School MathematicsDavid B. SurowskiShanghai American SchoolSingapore American SchoolJanuary 29, 2011iPreface/AcknowledgmentThe present expanded set of notes initially grew out of an attempt toflesh out the International Baccalaureate (IB) Mathematics FurtherMathematics curriculum, all in preparation for my teaching this dur-ing during the AY 2007 2008 school year. Such a course is offered onlyunder special circumstances and is typically reserved for those rare stu-dents who have finished their second year of IB Mathematics HL intheir junior year and need a capstone Mathematics course in theirsenior year. During the above school year I had two such IB math-ematics students. However, feeling that a few more students wouldmake for a more robust learning environment, I recruited several of my2006 2007 AP Calculus (BC) students to partake of this rare offeringresulting.

on Advanced Euclidean Geometry, the vast majority of the graphics was generated through Geometer’s Sketchpad. I like Autograph as a general-purpose graphics software and have made rather liberal use of this throughout these notes, especially in the chapters on series and di erential equations and inferential statistics. Minitab was used pri-

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