Higher mathematics (Е-10-25, ЕП-10-25) 2 sem. 25/26 Ptashnyi O.D.

Section outline

• Select section General and educational information

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  General and educational information

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  Assoc. Prof. Oleh  Ptashniy

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    Оголошення Forum
• Select section Topic 1. Antiderivatives and the Indefinite Integral

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  Topic 1. Antiderivatives and the Indefinite Integral

  Objective: To learn the concepts of primitive and indefinite integrals. To study the table of basic indefinite integrals and simple rules of integration.

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    Mutual Aid Forum
• Select section Topic 2. Substitution Method and Integration by Parts

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  Topic 2. Substitution Method and Integration by Parts

  Objective: To learn how to apply variable substitution when finding indefinite integrals.

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    Mutual Aid Forum
• Select section Topic 3. Integration of Rational Fractions

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  Topic 3. Integration of Rational Fractions

  Objective:  To learn how to isolate the whole part from an improper fraction, integrate elementary fractions, and decompose proper rational fractions into elementary ones.

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    Mutual Aid Forum
• Select section Topic 4. Integration of Trigonometric and Irrational Functions

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  Topic 4. Integration of Trigonometric and Irrational Functions

  Current week

  Objective:  Learn how to find typical trigonometric integrals by applying trigonometric transformations and variable substitution. Learn how to integrate linear irrationalities.

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    Mutual Aid Forum
• Select section Topic 5. Definite Integral

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  Topic 5. Definite Integral

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• Select section Topic 6. First-Order Differential Equations

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  Topic 6. First-Order Differential Equations

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• Select section Topic 7. Second-Order Differential Equations

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  Topic 7. Second-Order Differential Equations

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• Select section Topic 8. Linear Second-Order Differential Equations with Constant Coefficients

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  Topic 8. Linear Second-Order Differential Equations with Constant Coefficients

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• Select section Topic 9. Numerical Series. Series with Non-Negative Terms

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  Topic 9. Numerical Series. Series with Non-Negative Terms

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• Select section Topic 10. Signs of convergence of series with non-negative terms

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  Topic 10. Signs of convergence of series with non-negative terms

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• Select section Topic 11. Alternating Series

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  Topic 11. Alternating Series

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• Select section Topic 12. Power Series

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  Topic 12. Power Series

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• Select section Topic 13. Algebra of random events. Probability of an event.

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  Topic 13. Algebra of random events. Probability of an event.

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• Select section Topic 14. Conditional probability and independence of events. Bernoulli diagram.

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  Topic 14. Conditional probability and independence of events. Bernoulli diagram.

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• Select section Topic 15. Random variables and their numerical characteristics.

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  Topic 15. Random variables and their numerical characteristics.

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• Select section Topic 16. Basic continuous distributions

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  Topic 16. Basic continuous distributions

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• Select section Final Assessment

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  Final Assessment

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