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Integral
Calculus
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This
is a second part in a series of four calculus courses.
Upon successful
completion of the course, students will be able to
 | Appreciate the
concept of the definite integral through the use of Riemann sum. |
 | Apply the
Fundamental Theorem of Calculus to evaluate definite integrals. |
 | Apply
techniques of integration, without the help of any computer algebra
systems. |
 | Understand the
concept of improper integrals, and methods of evaluation. |
 | Apply
integration in applications such as including area, volume and
average value of a function. |
 | Understand the
concept of infinite sequences, and the concepts of boundedness and
convergence of a sequence. |
 | Apply detailed
analysis of series starting with partial sums; determine the
convergence or divergence of a series by using various techniques,
including the integral test, comparison test, limit comparison test
and the ratio test; apply the analysis of alternating series. |
 | Understand the
concept of power series, in particularly, the Taylor and Maclaurin
series. |
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Text:
Calculus, Concepts and
Contexts 3, by J. Stewart, 3rd
edition. |
Course Materials for Fall 2009: |
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