External Evaluation of the European Baccalaureate (Annexes)
External Evaluation of the European Baccalaureate (Annexes)
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