Brian Western, James Nicholson, Jean Linsky
Complete Pure Mathematics 1 for Cambridge International AS & A Level
Brian Western, James Nicholson, Jean Linsky
Complete Pure Mathematics 1 for Cambridge International AS & A Level
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Providing complete syllabus support (9709), this stretching and practice-focused course builds the advanced skills needed for the latest Cambridge assessments and the transition to higher education. Engaging, real world examples make mathematics relevant to real life.
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Providing complete syllabus support (9709), this stretching and practice-focused course builds the advanced skills needed for the latest Cambridge assessments and the transition to higher education. Engaging, real world examples make mathematics relevant to real life.
Hinweis: Dieser Artikel kann nur an eine deutsche Lieferadresse ausgeliefert werden.
Hinweis: Dieser Artikel kann nur an eine deutsche Lieferadresse ausgeliefert werden.
Produktdetails
- Produktdetails
- Verlag: Oxford University Press
- Seitenzahl: 256
- Erscheinungstermin: 12. Juli 2018
- Englisch
- Abmessung: 192mm x 246mm x 11mm
- Gewicht: 566g
- ISBN-13: 9780198425106
- ISBN-10: 0198425104
- Artikelnr.: 54946890
- Verlag: Oxford University Press
- Seitenzahl: 256
- Erscheinungstermin: 12. Juli 2018
- Englisch
- Abmessung: 192mm x 246mm x 11mm
- Gewicht: 566g
- ISBN-13: 9780198425106
- ISBN-10: 0198425104
- Artikelnr.: 54946890
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
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
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
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