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External Evaluation of the European Baccalaureate (Annexes)

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ANALYSIS<br />

- Definition <strong>of</strong> a real function <strong>of</strong> a real variable.<br />

- Domain <strong>of</strong> a function.<br />

- Zeros <strong>of</strong> a function. Sign <strong>of</strong> a function.<br />

- Even and odd functions. Periodic functions.<br />

- Composition <strong>of</strong> two functions.<br />

- Inverse <strong>of</strong> a bijection.<br />

- Increasing and decreasing functions, constant,<br />

monotonic, over an interval. Local and global extrema.<br />

- Graph <strong>of</strong> a function.<br />

Application <strong>of</strong> <strong>the</strong> following concepts:<br />

- limit <strong>of</strong> a function at a point.<br />

- continuity at a point, over an interval.<br />

- differentiability <strong>of</strong> a function at a point, over an interval.<br />

- l’Hospital’s rule.<br />

- increase and decrease <strong>of</strong> a function. Extremum.<br />

- graph <strong>of</strong> a function, tangent at a point on <strong>the</strong> graph <strong>of</strong> a<br />

function, asymptotes, concavity, points <strong>of</strong> inflection.<br />

To <strong>the</strong> following functions:<br />

- absolute value.<br />

- polynomials.<br />

- rational functions.<br />

- functions <strong>of</strong> <strong>the</strong> type x ! P(x) ,<br />

where P(x) is a 1 st or 2 nd degree polynomial.<br />

Y<br />

Y<br />

Y<br />

Y<br />

Y<br />

N<br />

Y<br />

Y<br />

Y<br />

N<br />

N<br />

Y<br />

Y<br />

N<br />

Y<br />

Y<br />

N<br />

71<br />

More thorough<br />

treatment <strong>of</strong> sign in<br />

EB (5 hours)<br />

No discussion <strong>of</strong><br />

monotonic functions<br />

in LC<br />

Treatment <strong>of</strong> <strong>the</strong> limit<br />

is more formal in EB

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