Mathematics Department CSU CSUB Stiern Library Raczkowski 

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
bulletAppreciate the concept of the definite integral through the use of Riemann sum.
bulletApply the Fundamental Theorem of Calculus to evaluate definite integrals.
bulletApply techniques of integration, without the help of any computer algebra systems.
bulletUnderstand the concept of improper integrals, and methods of evaluation.
bulletApply integration in applications such as including area, volume and average value of a function.
bulletUnderstand the concept of infinite sequences, and the concepts of boundedness and convergence of a sequence.
bulletApply 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.
bulletUnderstand 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:

 
bulletSyllabus.htmSyllabus.pdf
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Problem Session I.htm,      Problem Session I.pdf