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.

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