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1
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1
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Feb 17, 2025
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14:00
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2
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KL:B-307
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Antiderivative, indefinite integral, basic properties. Table integrals, integration by parts.
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prof. RNDr. Jiří Neustupa, CSc.
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2
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1
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Feb 24, 2025
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14:00
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2
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KL:B-307
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Method of substitution. Integration of simpler rational functions - decomposition to partial fractions.
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prof. RNDr. Jiří Neustupa, CSc.
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3
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1
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Mar 3, 2025
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14:00
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2
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KL:B-307
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Integrals of partial fractions. Integration of trigonometric functions, their products and powers.
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prof. RNDr. Jiří Neustupa, CSc.
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4
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1
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Mar 10, 2025
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14:00
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2
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KL:B-307
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Definite (Riemann's) integral. Geometric and physical meaning. Newton-Leibniz formula. Application of the integration by parts in the calculation of the definite integral
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prof. RNDr. Jiří Neustupa, CSc.
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5
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1
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Mar 17, 2025
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14:00
|
2
|
KL:B-307
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Application of the substitution method in the calculation of the definite integral. Further geometric and physical applications.
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prof. RNDr. Jiří Neustupa, CSc.
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6
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1
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Mar 24, 2025
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14:00
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2
|
KL:B-307
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Improper Riemann's integral (due to the function, due to the limit).
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prof. RNDr. Jiří Neustupa, CSc.
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|
7
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1
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Mar 31, 2025
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14:00
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2
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KL:B-307
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Mid-term test.
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prof. RNDr. Jiří Neustupa, CSc.
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8
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1
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Apr 7, 2025
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14:00
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2
|
KL:B-307
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1st order ordinary differential equations (ODE) with separable variables. Initial condition, Cauchy problem. Simple applications.
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prof. RNDr. Jiří Neustupa, CSc.
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9
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1
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Apr 14, 2025
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14:00
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2
|
KL:B-307
|
1st order linear ODE (homogeneous and inhomogeneous). Method of variation of a constant.
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prof. RNDr. Jiří Neustupa, CSc.
|
|
10
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1
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Apr 21, 2025
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14:00
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2
|
KL:B-307
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2nd order linear ODE with constant coefficients (homogeneous and inhomogeneous). Characteristic equation, fundamental system of solutions of the homogeneous equation, general solution of the homogeneous equation.
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prof. RNDr. Jiří Neustupa, CSc.
|
|
11
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1
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Apr 28, 2025
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14:00
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2
|
KL:B-307
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Particular solution of the inhomogeneous equation, general solution of the inhomogeneous equation. Methods of finding the particular solution: method of estimation and variation of constants.
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prof. RNDr. Jiří Neustupa, CSc.
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12
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1
|
May 5, 2025
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14:00
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2
|
KL:B-307
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Laplace transform and inverse Laplace transform. Application of the Laplace transform to solution of ODE.
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prof. RNDr. Jiří Neustupa, CSc.
|
|
13
|
1
|
May 12, 2025
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14:00
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2
|
KL:B-307
|
Repetition: solution of various types of ODE by various methods. Application s in geometry, physics, chemistry, population dynamics, spread of infection, spread of information, etc.
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prof. RNDr. Jiří Neustupa, CSc.
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|
14
|
1
|
May 19, 2025
|
14:00
|
2
|
KL:B-307
|
End-term test.
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prof. RNDr. Jiří Neustupa, CSc.
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