Sumários

lecture 14

11 Abril 2023, 10:30 • Alexandra Symeonides

Derivative of the inverse function and application to the calculus of inverse trigonometric functions. Local extrema. Fermat, Rolle and Lagrange theorems. Relation between monotony and sign of the derivative function.

lecture 13

10 Abril 2023, 12:00 • Alexandra Symeonides

Tangent line to the graph of a function, notion of derivative of a function in a point. Derivative function and elementary derivation rules. Derivative of a composed function. Examples.

practical lecture 6

30 Março 2023, 14:30 • Alexandra Symeonides

topology: ex. 6 d); 7. also for the line d), 8. for the set A_2.
geometric series: ex. 13 b), h), ex. 14 a) d)
inverse trigonometric functions: ex. 2 a)b)c)f); ex. 3 a); ex. 4 a)

lecture 12

28 Março 2023, 10:30 • Alexandra Symeonides

Arccosine, arcsine, arctangent functions. Cauchy limit definition. Continuity, Weierstrass theorem, Bolzano-Cauchy theorem.

lecture 11

27 Março 2023, 12:00 • Alexandra Symeonides

Generalities about functions of real variable. Inverse of a bijective function.