Topic 2. Continuity of functions of one variable.
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Limit of a function in a point. One-sided limits. Continuity. The intermediate value theorem. Bolzano's theorem. The bisection method.
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Topic 4. Coordinate systems for the plane and space. |
Polar, cylindrical, and spherical coordinates.
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Topic 6. Differential of functions of several variables. |
Directional derivatives. Partial derivatives. Jacobian matrix. The chain rule. Higher order derivatives. Differential operators. |