# Calculus - International Baccalaureate

W
Shared by:
Categories
-
Stats
views:
2
posted:
5/27/2010
language:
English
pages:
2
Document Sample

```							                                                                           1990
Florida Department of Education

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.

```
Related docs
Other docs by xzz19988