Leaving Cert Maths

Course Overview for Leaving Cert Maths, Higher Level

9:45-11:15 Algebra:
Learning Outcomes; revision of basic operations, identities, solving quadratic and cubic equations, simultaneous equations, surds, indices, logs and abstract inequalities.

11:30-1:00 Complex Numbers:
Learning Outcomes; operations on complex numbers, equations involving complex numbers, argland diagram  modules, quadratic and cubic equations with complex roots, polar form and De Moivres Theorem, geometrical properties of complex numbers.

2:00-3:30 Calculus 1:
Learning Outcomes; differentiation from first principles, differentiation by rule, evaluating derivatives, product, quotient and chain rules, trigonometric functions, differentiation of exponential and log functions, finding equations of tangents

3:45-4.45 Calculus 2:
Learning Outcomes;  increasing & decreasing curves, local maximum and minimum points and points of inflection, maximum & minimum problems.


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Course Overview for Leaving Cert Maths, Ordinary Level

9:45-11:15 Algebra:
Learning Outcomes; Revision of basic operations, inequalities, solving linear equations with fractions, using quadratic formula, solving quadratic and cubic equations, simultaneous equations, surds and indices, problems and graphs

11:30-1:00 Complex Numbers:
Learning Outcomes; adding and subtracting complex numbers, multiplying and dividing complex numbers, argand diagram the modules of a complex number, equality of complex numbers, quadratic equations with complex roots and complex numbers and transformations

2:00-3:30 Co-ordinate Geometry- The Line:
Learning Outcomes; co-ordinating the plane, distance between two points, mid-point, slope, equation, parallel and perpendicular lines, graphing lines, intersection of two lines and area of triangle

3:45-4.45 Arithmetic:
Learning Outcomes; fractions, decimals and significant figures, ratio and proportion, percentages, percentages error, income tax, compound interest, speed, distance, time


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