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CS108b. Calculus (Непрерывная математика)
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Фундаментальная информатика и ИТ
Continuous mathematics
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◄ Lecture 14. Differential equations
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M.E.Abramyan. Lectures on differential calculus of functions of one variable
M.E.Abramyan. Lectures on integral calculus of functions of one variable and series theory
1. Sense of derivative
2. Basic theorems of differential calculus
3. Taylor's formula
4. Study of functions
5. Antiderivative and indefinite integral
6. Integration of rational functions
7. Definite integral
8. Properties of a definite integral
9. Newton-Leibniz formula
10. Improper integrals
11. Improper integrals - 2
12. Numerical series
13. Numerical series - 2
14. Alternating series and conditional convergence
15. Differential equations
Lecture 1. The basic theorems of differential calculus
Lecture 2. The basic theorems of differential calculus (part 2). Taylor's formula
Lecture 3. Taylor's formula (part 2). Study of functions
Lecture 4. Study of functions (part 2)
Lecture 5. Antiderivative and indefinite integral
Lecture 6. Integration of some classes of functions
Lecture 7. Definite integral
Lecture 8. Properties of the definite integral
Lecture 9. Integral with variable upper boundary. Newton-Leibniz formula
Lecture 10. Newton-Leibniz formula, part 2. Additional techniques for calculating definite integrals
Lecture 11. Improper integrals
Lecture 12. Improper integrals (part 2). Numerical series
Lecture 13. Numerical series (part 2)
Lecture 14. Differential equations
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