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- Syllabus matching grid
- 1 Quadratics
- 1.1: Solve quadratic equations by factorising
- 1.2: Solving linear inequalities
- 1.3: Solving quadratic inequalities
- 1.4: The method of completing the square
- 1.5: Solving quadratic equations using the formula
- 1.6: Solve more complex quadratic equations
- 1.7: The discriminant of a quadratic equation
- 1.8: Solving simultaneous equations
- 1.9: Graphs of quadratic functions
- 2 Functions and transformations
- 2.1: Mappings
- 2.2: Composite Functions
- 2.3: Inverse Functions
- 3 Coordinate Geometry
- 3.1: Line segments
- 3.2: Parallel and perpendicular lines
- 3.3: Equation of a straight line
- 3.4: Points of intersection and graphs
- Review exercise A
- Maths in real-life: Parabolic reflectors
- 4 Circular measure
- 4.1: Radians
- 4.2: Arc length and sector area
- 4.3: Further problems involving arcs and sectors
- 5 Trigonometry
- 5.1: Exact values of trigonometric functions
- 5.2: Graphs of trigonometric functions
- 5.3: Inverse trigonometric functions
- 5.4: Composite graphs
- 5.5: Trigonometric equations
- 5.6: Trigonometric identities
- 6 Binomial expansion
- 6.1: Pascal's triangle
- 6.2: Binomial notation
- 6.3: Binomial expansion
- 6.4: More complex expansions
- 7 Series
- 7.1: Sequences
- 7.2: Finite and infinite series
- 7.3: Arithmetic progressions
- 7.4: Geometric progressions
- 7.5: Infinite geometric progressions
- Review exercise B
- Maths in real-life: Infinity
- 8 Differentiation
- 8.1: The gradient of the tangent
- 8.2: Gradient of a tangent as a limit
- 8.3: Differentiation of polynomials
- 8.4: Differentiation of more complex functions
- 8.5: The chain rule (differentiating function of a function)
- 8.6: Finding the gradient of the tangent using differentiation
- 8.7: The second derivative
- 8.8: Equation of the tangent and the normal
- 9 Further differentiation
- 9.1: Increasing and decreasing functions
- 9.2: Stationary points
- 9.3: Problems involving maximum and minimum values
- 9.4: Connected rates of change
- 10 Integration
- 10.1: Integration as the reverse process of differentiation
- 10.2: Finding the constant of integration
- 10.3: Integrating expression of the form (ax + b)n
- 10.4: The definite integral
- 10.5: Finding area using definite integration
- 10.6: Area bounded by two curves or a curve and a line
- 10.7: Improper integrals
- 10.8: Volumes of revolution
- Review exercise C
- Maths in real-life: Describing change mathematically
- Exam-style paper A
- Exam-style paper B
- Answers
- Glossary of terms
- Index
| Erscheinungsjahr: | 2018 |
|---|---|
| Genre: | Mathematik |
| Rubrik: | Naturwissenschaften & Technik |
| Medium: | Taschenbuch |
| Inhalt: | Bundle |
| ISBN-13: | 9780198425106 |
| ISBN-10: | 0198425104 |
| Sprache: | Englisch |
| Einband: | Kartoniert / Broschiert |
| Autor: |
Western, Brian
Nicholson, James Linsky, Jean |
| Hersteller: | Oxford University Press |
| Maße: | 192 x 246 x 11 mm |
| Von/Mit: | Brian Western (u. a.) |
| Erscheinungsdatum: | 12.07.2018 |
| Gewicht: | 0,566 kg |
- Syllabus matching grid
- 1 Quadratics
- 1.1: Solve quadratic equations by factorising
- 1.2: Solving linear inequalities
- 1.3: Solving quadratic inequalities
- 1.4: The method of completing the square
- 1.5: Solving quadratic equations using the formula
- 1.6: Solve more complex quadratic equations
- 1.7: The discriminant of a quadratic equation
- 1.8: Solving simultaneous equations
- 1.9: Graphs of quadratic functions
- 2 Functions and transformations
- 2.1: Mappings
- 2.2: Composite Functions
- 2.3: Inverse Functions
- 3 Coordinate Geometry
- 3.1: Line segments
- 3.2: Parallel and perpendicular lines
- 3.3: Equation of a straight line
- 3.4: Points of intersection and graphs
- Review exercise A
- Maths in real-life: Parabolic reflectors
- 4 Circular measure
- 4.1: Radians
- 4.2: Arc length and sector area
- 4.3: Further problems involving arcs and sectors
- 5 Trigonometry
- 5.1: Exact values of trigonometric functions
- 5.2: Graphs of trigonometric functions
- 5.3: Inverse trigonometric functions
- 5.4: Composite graphs
- 5.5: Trigonometric equations
- 5.6: Trigonometric identities
- 6 Binomial expansion
- 6.1: Pascal's triangle
- 6.2: Binomial notation
- 6.3: Binomial expansion
- 6.4: More complex expansions
- 7 Series
- 7.1: Sequences
- 7.2: Finite and infinite series
- 7.3: Arithmetic progressions
- 7.4: Geometric progressions
- 7.5: Infinite geometric progressions
- Review exercise B
- Maths in real-life: Infinity
- 8 Differentiation
- 8.1: The gradient of the tangent
- 8.2: Gradient of a tangent as a limit
- 8.3: Differentiation of polynomials
- 8.4: Differentiation of more complex functions
- 8.5: The chain rule (differentiating function of a function)
- 8.6: Finding the gradient of the tangent using differentiation
- 8.7: The second derivative
- 8.8: Equation of the tangent and the normal
- 9 Further differentiation
- 9.1: Increasing and decreasing functions
- 9.2: Stationary points
- 9.3: Problems involving maximum and minimum values
- 9.4: Connected rates of change
- 10 Integration
- 10.1: Integration as the reverse process of differentiation
- 10.2: Finding the constant of integration
- 10.3: Integrating expression of the form (ax + b)n
- 10.4: The definite integral
- 10.5: Finding area using definite integration
- 10.6: Area bounded by two curves or a curve and a line
- 10.7: Improper integrals
- 10.8: Volumes of revolution
- Review exercise C
- Maths in real-life: Describing change mathematically
- Exam-style paper A
- Exam-style paper B
- Answers
- Glossary of terms
- Index
| Erscheinungsjahr: | 2018 |
|---|---|
| Genre: | Mathematik |
| Rubrik: | Naturwissenschaften & Technik |
| Medium: | Taschenbuch |
| Inhalt: | Bundle |
| ISBN-13: | 9780198425106 |
| ISBN-10: | 0198425104 |
| Sprache: | Englisch |
| Einband: | Kartoniert / Broschiert |
| Autor: |
Western, Brian
Nicholson, James Linsky, Jean |
| Hersteller: | Oxford University Press |
| Maße: | 192 x 246 x 11 mm |
| Von/Mit: | Brian Western (u. a.) |
| Erscheinungsdatum: | 12.07.2018 |
| Gewicht: | 0,566 kg |
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