What the Book is about

This book covers Paper 1 of the Higher Level Leaving Certificate (LC) Maths Course. It can be used as a text book in school both in fifth year and sixth year or as a self-study aid at home. It can also be used as a revision book as it has numerous worked examples and hints to help you with the exam. Good luck with your revision and have fun.

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Each section is full of examples showing you how to solve problems. Tricks and steps for solving problems are included to simplify the process. There are loads of exercises for you to practice what you have learned. The answers to the exercises are provided at the end of each section. If you experience difficulties with these exercises go online to our website where experienced teachers at the Maths Forum are standing by to answer your queries and help you with your problems.

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There are Revision Questions at the end of each section. These are 3 part questions similar to LC questions. The answers and hints on how to solve these questions are on this website.

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LC Higher Level, Paper 1

Paper 1 has 8 questions. You must attempt 6 questions.

Questions 1 & 2: Algebra	Covered in the Algebra Section
Question 3: Complex Numbers and Matrices	Covered in the Complex Numbers and Matrices Sections
Questions 4 & 5: Sequences, Series, Algebra and Proof by Induction	Covered in the Sequences, Series, Algebra and Proofs Sections
Questions 6 & 7: Differentiation and its Applications	Covered in the Differentiation and Applications of Differentiation Sections
Question 8: Integration	Covered in the Integration Section

	Algebra: Algebraic Expressions, Equations and Inequalities. Click on the Magic Cover to download sample pages from the Algebra Section. Contents of the Algebra Section
	Complex Numbers: Complex Number algebra, Properties, Equations, Polar form and De Moivre's Theorem. Click on the Magic Cover to download sample pages from the Complex Numbers Section. Contents of the Complex Numbers Section
	Matrices: Definition of a Matrix, Operations, Special Matrices, Equations. Click on the Magic Cover to download sample pages from the Matrices Section. Contents of the Matrices Section
	Sequences: Sequences in General, Arithmetic Sequences, Geometric Sequences, Arithmetic Geometric Sequences. Click on the Magic Cover to download sample pages from the Sequences Section. Contents of the Sequences Section
	Series: Working with a Series, Summation Techniques, Binomial Series. Click on the Magic Cover to download sample pages from the Series Section. Contents of the Series Section
	Differentiation: Understanding Differentiation, How to Differentiate, Differentiation Techniques, Other Differentiation Topics. Click on the Magic Cover to download sample pages from the Differentiation Section. Contents of the Differentiation Section
	Applications of Differentiation: Curves, Maximizing and Minimizing Functions, Curve Sketching, Rates of Change, Newton-Raphson Approximation. Click on the Magic Cover to download sample pages from the Applications of Differentiation Section. Contents of the Applications of Differentiation Section
	Integration: The Idea, Starting Integration, Techniques of Integration, Areas and Volumes. Click on the Magic Cover to download sample pages from the Integration Section. Contents of the Integration Section
	Proofs: Factor Theorem, Differentiation Rules, Proof by Induction. Click on the Magic Cover to download sample pages from the Proofs Section. Contents of the Proofs Section
	Revision Questions: These are 3 part questions similar to LC questions. The answers and hints on how to solve these questions are on this website. Click on the Magic Cover to download sample pages of Revision Questions. Revision Questions (Hints and Answers)

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