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Topic 10. Continuity of a function. Classification of points of discontinuity
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Факультет транспортних систем
Вищої математики
Лектор к.п.н., доц. Пташний О.Д.
Higher Math. (E-25) 1 sem. 25/26, Ptashny O.D.
Topic 10. Continuity of a function. Classification of points of discontinuity
Section outline
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Topic 9. Remarkable limits. Equivalent infinitesimals and infinitely large
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Topic 11. Derivative of a function of one variable
Objective: to learn how to test a function for continuity.
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Topic 9. Remarkable limits. Equivalent infinitesimals and infinitely large
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General and educational information
Topic 1. Matrices and determinants
Topic 2. Systems of linear equations
Topic 3. Vectors. Linear operations on vectors
Topic 4. Scalar product of vectors
Topic 5. Vector and mixed products of vectors
Topic 6. A straight line on a plane
Topic 7. Plane and straight line in space
Topic 8. Function. The concept of a function limit
Topic 9. Remarkable limits. Equivalent infinitesimals and infinitely large
Topic 10. Continuity of a function. Classification of points of discontinuity
Topic 11. Derivative of a function of one variable
Topic 12. The derivative of a function. Theorems on differentiable functions
Topic 13. Applications of derivatives to the study of functions
Topic 14. Functions of several variables. Basic concepts. Partial derivatives.
Topic 15. Differentiation of composite and implicitly defined functions of several variables
Topic 16. Some applications of partial derivatives
Final control
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Topic 11. Derivative of a function of one variable