Mathematics: Analysis and Approaches HL
Mathematics: Analysis and Approaches HL
£24.50
Ian Lucas
Fully updated for the new IBDP Mathematics syllabus, this Guide covers Analysis and Approaches at Higher Level. It will reinforce your understanding of the topics with clear explanations, worked examples and practice questions to help you to prepare for exams.
194 pages
ISBN: 9781913433017
Quantity:
Coverage includes:
- Review of all key IB Maths Analysis and Approaches HL topics
- Advice on how to apply your learning in an exam context
- Guidance on calculator use and non-calculator techniques
Key features of the Mathematics: Analysis and Approaches HL study guide:
- Topic-based practice questions to reinforce essential skills for IB Maths Analysis and Approaches HL
- Exam-style practice questions for both papers 1 and 2 throughout
- Worked answers for all question types to check progress
- Suggestions to help you maximise your marks
- Useful hints, tips, and how to avoid common errors
- Supplementary online content
Contents of the Mathematics: Analysis and Approaches HL study guide:
THE NON-CALCULATOR PAPER
Chapter 1: NUMBER AND ALGEBRA
- Number Systems
- Accuracy and Standard Form
- Sequences and Series
- Sequences and Series: Applications
- Exponents
- Logarithms
- Permutations and Combinations
- The Binomial Expansion
- Partial Fractions
- Complex Numbers
- The Complex Plane
- De Moivre's Theorem
- Deductive proof
- Proof by Induction
- Proof by Contradiction
- Systems of Equations
- Number and Algebra: Long Answer Questions
Chapter 2: FUNCTIONS
- Basics of Functions
- Graphs of Functions
- Functions and Graphs with a GDC
- Linear Functions
- Reciprocal Functions
- Quadratic Functions
- Solving Quadratic Equations
- Polynomial Functions
- Sum and Product of Roots
- Inequalities
- Exponential and Logarithmic Functions
- Functions: Long Answer Questions
Chapter 3: GEOMETRY AND TRIGONOMETRY
- Solution of Triangles
- 3-D Geometry
- Cylinder, Sphere and Cone
- Circular Functions
- Trigonometric Identities
- Solving Trigonometric Equations
- Graphing Periodic Functions
- Basics of Vectors
- Scalar (Dot) Product
- Vector (Cross) Product
- Equations of Lines
- Equations of Planes
- Intersections
- Angles in Three Dimensions
- Geometry and Trigonometry: Long Answer Questions
Chapter 4: STATISTICS AND PROBABILITY
- Definitions
- Averages
- Measures of spread
- Correlation
- Sampling Methods
- Probability Notation and Formulae
- Lists and Tables of Outcomes
- Venn Diagrams
- Tree Diagrams
- Discrete Probability Distributions
- The Binomial Distribution
- The Normal Distribution
- Continuous Distributions
- Statistics and Probability: Long Answer Questions
Chapter 5: CALCULUS
- Differentiation – The Basics
- Differentiation from First Principles
- L'Hôpital's Rule
- The Chain Rule
- Product and Quotient Rules
- Second Derivative
- Graphical Behaviour of Functions
- Applications of Differentiation
- Implicit Differentiation
- Indefinite Integrals
- Definite Integrals
- Applications of Integration
- Integration by Substitution
- Integration by Parts
- Integration using Partial Fractions
- General Methods for Integration
- Differential Equations
- Maclaurin Series
- Calculus: Long Answer Questions
Chapter 6: MAXIMISING YOUR MARKS
Chapter 7: PRACTICE QUESTIONS
- Answers to Practice Questions