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Advanced High-School Mathematics

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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. The result was one of the most singular experiences I ve hadin my nearly 40-year teaching career: the brain power represented inthis class of 11 blue-chip students surely rivaled that of any assemblageof High-School students anywhere and at any time!

di erential equations and inferential statistics. Minitab was used pri-marily in the chapter on Inferential Statistics, and the graphical outputs greatly enhanced the exposition. Finally, all of the graphics were con-verted to PDF format via ADOBE RACROBAT 8 PROFESSIONAL (version 8.0.0). I owe a great debt to those involved in the production

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