Precalculus BC Paul J. Karafiol
Course Goals Understand and apply properties of functions Understand and apply properties of functions Preview important calculus concepts Preview important calculus concepts Master trigonometry and analytic geometry Master trigonometry and analytic geometry Communicate about mathematics Communicate about mathematics Become aware of own learning Become aware of own learning Do great mathematics every day!!! Do great mathematics every day!!!
BC vs. AB BC Faster Pace Faster Pace Less review of Advanced Algebra Less review of Advanced Algebra More manipulation More manipulation More Calculus Preview More Calculus Preview Limits Limits Derivatives Derivatives Sequences & Series Sequences & Series AB Slightly slower pace More review of Advanced Algebra Less manipulation
In Class Solve Problems Solve Problems Some Practice (but most on HW) Some Practice (but most on HW) Discuss important concepts Discuss important concepts Little to no lecture Little to no lecture
At home HW: practice + extension HW: practice + extension Review notes Review notes Practice for tests Practice for tests
Course Resources Textbook: Hungerford Textbook: Hungerford Webpage: sites.wpcp.org/karafiolp Webpage: sites.wpcp.org/karafiolp Most handouts Most handouts Daily class notes Daily class notes Blog on Art of Problem Solving, Blog on Art of Problem Solving,
The Orange Sheet Every student in this course can be successful Every student in this course can be successful Study strategies Study strategies “Hit and Run” “Hit and Run” “Early and Often” “Early and Often” Learning vs. Practice Learning vs. Practice “Read it, know it, live it” “Read it, know it, live it”
Technology Nspire+CAS Calculator Nspire+CAS Calculator Geometer’s Sketchpad ® Software Geometer’s Sketchpad ® Software Mathematica v.5.0 (new!) Mathematica v.5.0 (new!)