
#Ap calculus bc textbook windows
Windows Media is required for watching video presentations and demonstrations. Jabber is an instant messaging program that we use for real-time communications with the students. QuickTime Video is used to run Flash presentations and activities. Software: Students use the Microsoft Office programs for projects and for accessing lectures. Most students also have access to a scanner or digital sender for submitting work, but a fax machine can be used if one is not available. Most also have use of a computer at home. Image: A hand pointing to a math equation on a chalk board Ĭomputers: Each student has access to a computer with internet access at their local school during their scheduled class period.
#Ap calculus bc textbook series
Understand the concept of a series as a sequence of partial sums, and use the Power series and Taylor polynomial approximations and series.Develop an understanding of the Fundamental Theorem of Calculus as a relationship between derivatives and definite integrals.Understand definite integrals as a limit of Riemann sums, and as the net accumulation of sums, and use them to solve a variety of problems.Construct an understanding of derivatives as an instantaneous rate of change, applications of derivatives as functions, and use various techniques to solve problems including local approximations.Incorporate multiple representations of functions using graphic, numeric, analytic, algebraic, and verbal and written responses, and understand the connections among these representations.Develop an in-depth understanding of major topics of calculus including functions, limits, derivatives, integrals, and polynomial approximations and series.Upon completion of AP Calculus BC, students should be able to: Students are expected to take the AP Calculus BC Exam at the end of this course.

AP Calculus BC is an extension of AP Calculus AB, and provides the equivalent of a second course in a college calculus sequence, while AP Calculus AB provides the equivalent of the first course in a college calculus sequence. The breadth, pace, and depth of material covered exceeds the standard high school mathematics course, as does the college-level textbook, and time and effort required of students. The course requires a solid foundation of topics in advanced algebra, geometry, trigonometry, analytic geometry, and elementary functions. Though our system has an open enrollment policy, students should understand that this course is designed to be a fourth-year mathematics course and the equivalent of a year-long, college-level course in single variable calculus. On a regular basis, graphing calculators are used to explore, discover, and reinforce concepts of calculus. Technology is an integral part of the course and includes the use of graphing calculators, computers, and data analysis software.

Topics of study include: functions (including parametric, polar and vector), limits, derivatives, the interpretation and application of integrals, and polynomial approximations and series. There is a continued emphasis on calculus applications and techniques, with the use of multiple representations including graphic, numeric, analytic, algebraic, and verbal and written responses. AP Calculus BC provides a deeper understanding of the fundamental concepts and methods of single-variable calculus developed in AP Calculus AB.
