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ADVANCED PLACEMENT STATISTICS
Course Credit: 1
Duration: Full Year
Prerequisites: B+ or better in Pre-Calculus or B+ or better in Algebra 2 (Honors) and
recommendation of the current mathematics teacher.
Senior standing highly recommended.
Highly qualified non-seniors may take this course only if space is available.
The Curriculum content is divided into four major themes:
1. Planning- collecting data, organizing data, and representing the collection in tabular and graphic forms.
2. Probability- the tool used for anticipating what the distribution of the data should look like for a given model.
3. Exploratory analysis- computing various measures (statistics) to identify characteristics of the distribution of data.
4. Inference- drawing conclusions about a particular collection or collections of data.
This is a challenging course which is quite valuable given that virtually all college students will be
required to take a statistics course at some time in their academic career.
This course will make heavy use of previously released AP Statistics Exam materials.
Students will be required to use a TI-83 graphing calculator in this course.
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Textbook Title:
The Practice of Statistics, Yates, Moore & Starnes, 3rd edition 2003, W.H. Freeman and Company
How to Prepare for the AP Statistics Exam, 3rd edition, Barrons
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ADVANCED PLACEMENT CALCULUS
Course Credit: 1
Duration: Full Year
Prerequisites: B+ or better in Pre-Calculus and recommendation of the current mathematics teacher
The study of calculus includes both differential and integral topics.
This course is analytical and requires a background of algebra, geometry, and pre-calculus.
Students will be introduced to the methods of differentiation, the techniques of differentiation,
and the applications of differentiation. As a part of this aspect of the course,
students will become familiar with the concepts of limits, functions, and continuity.
The integration portion of the course will explore methods and techniques of integration
as well as applications of integration.
In addition, students will be required to use a TI-83 graphing calculator in this course.
Topics include: Limits and Continuity, Inverse Functions, Exponential Functions, Logarithmic Functions,
Differentiation, Techniques of Differentiation, Applications of Differentiation, Integration,
Techniques of Integration, and Applications of Integration.
Additional topics will be presented as time allows.
This course will make heavy use of previously released AP Calculus Exam Materials.
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Textbook Title:
Calculus, Larson, Hostetler&Edwards, 8th edition, 2006, Houghton Mifflin Company, Inc.
AP Calculus Exam Workbook, by The Princeton Review, 2006-7.
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ADVANCED PLACEMENT CALCULUS BC
Course Credit: 1
Duration: Full Year
Prerequisites: Recommendation of the current mathematics teacher/Strong performance in AP Calculus/Recommendation of the department leader.
This course will prepare students to take the Advanced Placement Calculus BC exam and introduce multivariable calculus as time allows. Topics from AB Calculus will be analyzed, discussed, and reviewed in an expanded fashion. Additional topics to be covered include parametric, polar, and vector functions and the calculus related thereto, advanced techniques of integration, including integration by parts, the method of partial fractions, and trigonometric substitution, improper integrals, advanced applications of L’Hopital’s Rule, determination of the length of a curve, work, slope fields, solving differential equations including those of logistic nature, Euler’s method, advanced series, series of constants, and Taylor and Maclaurin series. The course will make heavy use of previously released AP Calculus Exam materials. This course is offered when possible.
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Textbook Title:
Calculus, Larson, Hostetler&Edwards, 8th edition, 2006, Houghton Mifflin Company, Inc.
AP Calculus Exam Workbook, by The Princeton Review, 2006-7.
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