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2012/2013

Calculus 1 (CE)

PROBLEMS FOR CLASSES:
1. Real functions;
2. Sequences;
3. Limits of functions;
4. Derivatives;
5. Integral;
6. Functions of several variables;
7. Ordinary differential equations.

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Useful links:
Hyperbolic functions

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2009/2010

EANA 1

(Lectures by Tomasz Brengos)

Problems for classes:

  Set 0 - equations, inequalities, basic properties of functions;
  Set 1 - sequences;
  Set 1.5 - exponential and logarithmic functions;
  Set 2 - limits and continuity of functions;
  Set 3 - differentiability and derivatives;
  Set 4 - Mean Value Theorem, l'Hospital rule, extreme values;
  Set 5 - further applications of derivatives;
  Set 6 - series;
  Set 7 - Taylor series.


CALCULUS 1

(Enviromental engineering)

Problems for classes:

(choice by W. Sadkowski, edited by A. Badeńska)

  1. Basic properties of real functions;
  2. The exponential and logarithmic functions;
  3. Limits of sequences;
  4. Limits of functions. Continuous functions;
  5. Derivatives and differentials of functions;       
  6. Indefinite integrals;