Outcomes
At the completion of this course the student will:

Calculate or
estimate limits of given functions, graphs, tables including
L'Hopital's Ruleli>

Determine whether
a function given by a graph or formula is continuous or
differentiable at any given point.

Distinguish between average and instantaneous rate of change, and
interpret the definition of the derivative graphically.

Calculate derivatives of polynomial, rational, common transcendental
functions, combinations of these functions, and implicitly defined
functions.

Apply the ideas and
techniques of derivatives to related rate problems.

Finding extreme values of modeling functions given by formulas or
graphs

Estimate a slope, a
rate of change and the reasonableness of a result.

Interpret solutions
to applied problems, attaching the appropriate units to an answer.

Calculate the
Riemann sum for a given function, partition and collection of
evaluation points

Describe a definite
integral as the limit of a Riemann sum, the area under a curve,
the distance traveled by a moving object, and a total
accumulation.

Determine the
appropriate units for a definite integral.

Describe the meaning
of the antiderivative of a function.

Determine the
antiderivatives of polynomial, trigonometric, exponential and
logarithmic functions.

Determine the values
of definite integrals using antiderivatives and areas.

Approximate the
numerical values of definite integrals.

State and paraphrase
the Fundamental Theorem of Calculus.

Apply the ideas of
definite integrals to solve problems area and volumes

Distinguish
assumptions and conclusions in mathematical statements.

Become an
intermediate to expert user of the graphing calculator (TI89)
