External Evaluation of the European Baccalaureate (Annexes)

Content included in Irish Leaving Certificate Higher Level syllabus but not in EB syllabus
Please list any topics that are included in the Irish Leaving Certificate Higher Level specification but not in
the EB syllabus…
21. Core: Algebra: Proof by induction of simple identities on integer sum results, sums of
series, inequalities and factorisation results.
22. Core: Algebra: Algebra of 2x2 matrices, application to solution of linear equations in two
unknowns.
23. Core: Geometry: Cartesian geometry of the circle, tangents to circles, trigonometric and
parametric equations of circles
24. Core: Geometry: Transformation Geometry, linear transformations of the plane, invariance
or non-invariance of perpendicularity, distance, ratio of two distances, area.
25. Core: Trigonometry: Proofs of trigonometric identities (20), solution of trigonometric
equations, linear, quadratic and those convertible to a product of functions in one step.
26. Core: Sequences and Series: Arithmetic, geometric sequences and series, finite series of
telescopic type, binomial coefficients, recurring decimals as infinite geometric series.
27. Core: Discrete Mathematics: linear difference equations
28. Option: Group theory: Axioms of a group, examples: numbers, matrices, permutations
symmetry groups. Subgroups, cyclic subgroups, centraliser, centre. Isomorphism. 5
theorems on groups (includes Lagrange’s theorem)
29. Option: Further Geometry: Geometry of Ellipse (tangents, endpoints of diameter, parallel
chords, harmonic conjugates)
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