External Evaluation of the European Baccalaureate (Annexes)

EB syllabus content Present in
core of
comparator
ALGEBRA: COMPLEX NUMBERS
Introduction to complex numbers.
Real and imaginary parts of a complex number.
- Complex conjugates.
- Operations on complex numbers:
sum, product, quotient of two complex numbers.
Reciprocal of a non-zero complex number.
- Square roots of a complex number.
Solution over ℜ of quadratic equations with complex
coefficients.
- Geometric representation of a complex number.
(Argand diagram)
- Trigonometric form.
- Modulus of a complex number. Modulus of a product,
of a quotient, of the reciprocal.
Argument of a non-zero complex number. Argument of
a product, of a quotient. Argument of the reciprocal of
a non-zero complex number.
Powers, nth roots.
de Moivre’s Theorem.
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70
Present in
optional
unit …
Present in
optional
unit …
Covered in greater
depth in EB
More formal
treatment of
argument results in
EB (3 hours)
Covered in greater
depth in Irish Leaving
Certificate
Includes the prove by
induction of theorem
and use in proof of
trigonometric identities