Thursday, November 30, 2006

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Classes resume Monday, 01/08/2007

Finish the lesson and the exercises of the course of mathematical analysis. It will resume Monday, January 8, 2007.

Monday, November 27, 2006

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Friday, December 1, twelfth lesson

last lesson of the first semester of Calculus. Inverse function of elementary functions. Summary and complements on limits, continuity and series. Exercises and various problems. Brief description of the topics to be discussed in the second quarter: derivatives and integrals.

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Monday, November 27, eleventh lesson

last part of the theory of numerical series. Criterion condensation. Series in terms of variable sign. Criterion for absolute convergence. alternated series. Leibniz criterion. various examples and exercises.

Friday, November 24, 2006

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Available on-line Facsimile examination AM

E 'found in the online pdf file of a facsimile of examination. Of course, many questions still can not be addressed. This will be the end of the course. On page 6 is the exact sequence of solutions.

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Friday, November 24, the tenth lesson

lesson dedicated to the performance of certain exercises to be considered.

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Monday, November 20, the ninth lesson

BRIEF continue to run smoothly. Top of the numerical series. First examples.

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Friday, November 17, eighth lesson

Some elementary functions. Introduction of the exponential function, the fundamental properties of the exponential function, various years. Sequences and subsequences. Brief to the Bolzano-Weierstrass theorem and the completeness of the real number system. Several examples. Property Fundamental of continuous functions (theorems of zeros, the intermediate value and Weierstrass).

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Monday, November 13, seventh lesson

sequences, characterization of the points members; characterization of the continuity of a function by succession, several examples and counterexamples.

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Friday, November 10, the sixth lesson

limits on restrictions, limits and monotone functions, points of discontinuity, various examples and counterexamples.