Mathematics notes for 5th Year, Leaving Cert Higher Level
100 sections with theory, interactive examples, and 2,791 exercises graded instantly by AI.
Start from the beginning →Equations
Algebra
Equations
Systems of equations
Inequalities and systems of inequalities
Numbers
Real numbers
Trigonometry
Trigonometry
- Measuring angles: degrees and radians
- Trigonometric ratios of an angle
- Reciprocal trigonometric ratios
- Trigonometric ratios of the sum of two angles
- Trigonometric ratios of the difference of two angles
- Trigonometric ratios of double angles
- Sine rule
- Cosine rule
- Solving right-angled triangles
- Solving non-right-angled triangles
Vectors and geometry
Conics
Similarity
Probability
Probability
Counting techniques
Statistics
Derivatives
Derivative
- Average rate of change of a function
- Definition of the derivative of a function at a point
- Graphical interpretation of the derivative
- Derivative function
- Physical interpretation of the derivative
- Derivative of a polynomial
- Differentiation rules
- Derivatives of standard functions
- Exercises on derivatives
- Tangent line to a curve
- Increasing and decreasing intervals and extrema using derivatives
- Sketching functions
- Optimisation problems