Calculus - International Baccalaureate

							                                                                           1990
                     Florida Department of Education
                CURRICULUM FRAMEWORK - GRADES 9-12, ADULT

Subject Area:   Mathematics
Course Number: 1202800
Course Title:   Calculus - International Baccalaureate
Credit:         1.0
Will meet graduation requirement for Mathematics

A.   Major concepts/content.   The purpose of this course is to
     provide a foundation for the study of advanced mathematics.

     The content      should   include,   but   not   be   limited   to,   the
     following:

     -   elementary functions
     -   limits and continuity
     -   derivatives
     -   differentiation
     -   application of the derivative
     -   antiderivatives
     -   definite integral
     -   applications of the integral

B.   Special   note.      This  course will include  periodic
     comprehensive reviews of the International Baccalaureate
     mathematics courses in preparation for the International
     Baccalaureate examination.

     Students in this course may be preparing for the subsidiary-
     level International Baccalaureate examination.

C.   Intended outcomes.      After        successfully     completing      this
     course, the student will:

         1.   Identify    and   apply    properties    of    algebraic,
              trigonometric, exponential, and logarithmic functions.

         2.   Understand sequences and series.

         3.   Apply the concept of limits to functions.

         4.   Find    derivatives    of    algebraic,        trigonometric,
              exponential, and logarithmic functions.
 5.   Find derivatives of the inverse of a function.

 6.   Define    relations      between      differentiability        and
      continuity.

 7.   Apply the idea of derivatives to find the slope of a
      curve and tangent and normal lines to a curve.

 8.   Identify increasing and decreasing functions, relative
      and absolute maximum and minimum points, concavity, and
      points of inflection.

 9.   Find antiderivatives.

10.   Apply antiderivatives        to   solve   problems   related   to
      motion of bodies.

11    Use techniques of integration.

12.   Find approximation      to    the   definite   integrals   using
      rectangles.

13.   Apply knowledge of integral calculus to find areas
      between curves and volumes of solids of revolution.

14.   Understand sequences of real numbers and of convergence.

15.   Solve elementary differential equations.