Advanced Placement Calculus AB

Ms. Rosemary Finn

Plainfield South High School 2008-2009

815-577-5514

Office Room 212

rfinn@learningcommunity202.org

http://www.schoolnotes.com/60544/rfinnpshs.html

Course Description:

This is a standard first semester college course in the Calculus of elementary functions. In this course students will develop the preliminary concepts and skills associated with limits, techniques and applications of differentiation, and the introduction to techniques of integration. Multiple representations of each concept will be investigated – graphical, analytical, numerical, and verbal. Technology will be integrated throughout to develop and enhance the curriculum. Students are expected to perform college level work and are expected to take the Advanced Placement Exam.

Expectations:

Students are expected to:

¯ Attend class on a daily basis.

¯ Keep a class notebook of notes, model problems, and homework assignments with noted corrections.

¯ Read the assigned textbook readings.

¯ Participate in class, group discussions, and problem solving activities.

¯ Schedule make-up deadlines with the individual teacher when an absence occurs.

Materials Needed:

¯ Notebook

¯ Folder or binder

¯ Graphing Calculator TI-89, TI-84, or TI-83 recommended

Course Syllabus:

Semester One

Over the course of the first semester students should be able to work with:

¯ Functions – linear, quadratic, power, exponential, logarithmic, and trigonometric.

¯ Limits – evaluate and perform operations with limits, and determine the continuity of a function.

¯ Derivatives – develop the concept of the derivative and the skills needed to calculate and evaluate the derivative using explicit and implicit techniques.

¯ Applications of Derivatives – use the derivative to analyze polynomial, rational and trigonometric functions and their graphs while modeling real world applications such as optimization, related rates, and motion problems.

¯ Curve sketching – apply curve-sketching techniques to trigonometric, exponential, and logarithmic functions.

¯ Antiderivatives – develop the concept of the antiderivative.

Semester Two

Over the course of the second semester students should be able to work with:

¯ Area – find the area under a curve using Riemann Sums and integration, find the area between two curves.

¯ Integrals – find definite and indefinite integrals.

¯ Applications of Integrals – solve motion problems.

¯ Volumes – find the volumes of solids of revolution and volumes with known cross-sections.

Homework/Notebook Procedure:

¯ All homework should be done in your notebook. The page number and date should be written at the top of the page. All homework corrections should be made as we review the homework in class.

¯ Notebook MUST be brought to class everyday.

¯ There will be unannounced notebook quizzes.

¯ All handouts and returned materials should be kept in a folder or binder.

Classroom Procedure:

¯ Enter the classroom and find your assigned seat.

¯ Take out your notebook and open it to the assignment.

Grading:

Grades will be determined by tests, quizzes, projects, activities, and homework. Students should keep track of their grade.

Extra Help:

I am available for extra help any day before school and by appointment after school. If you need to see me, let me know.