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Cambridge 3 Unit Mathematics Year 11 Enhanced Version : Print Textbook + Interactive Textbook + PDF Textbook - William Pender

Cambridge 3 Unit Mathematics Year 11 Enhanced Version

Print Textbook + Interactive Textbook + PDF Textbook

Paperback

Published: 1st August 2012
For Ages: 15 - 16 years old
Ships: 3 to 4 business days
3 to 4 business days
RRP $65.95
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Cambridge Mathematics 3 Unit Year 11 Enhanced Version includes the print textbook plus access to the Interactive Textbook and the PDF Textbook to provide flexible and innovative digital resourcing options for class and home use.

* The Interactive Textbook is an HTML version of the student text, designed to enhance teaching and learning in a digital environment.

It includes:

  • pop-up answers
  • links from within the Interactive Textbook to objective-response (multiple-choice) quizzes
  • links from within the Interactive Textbook to the Cambridge Technology in Maths (TiM) website, which provides additional technology activities.

    *Usually available for purchase separately, for a limited time the Interactive Textbook is included at no extra cost with Cambridge Mathematics 3 Unit Year 11 Enhanced Version.

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    Chapter 1. Methods in Algebra
    1A Terms, Factors and Indices
    1B Expanding Brackets
    1C Factorisation
    1D Algebraic Fractions
    1E Four Cubic Identities
    1F Linear Equations and Inequations
    1G Quadratic Equations
    1H Simultaneous Equations
    1I Completing the Square
    1J The Language of Sets

    Chapter 2. Numbers and Functions
    2A Cardinals, Integers and Rational Numbers
    2B The Real Numbers
    2C Surds and their Arithmetic
    2D Rationalising the Denominator
    2E Equality of Surdic Expressions
    2F Relations and Functions
    2G Review of Known Functions and Relations
    2H Inverse Relations and Functions
    2I Shifting and Reflecting Known Graphs
    2J Further Transformations of Known Graphs

    Chapter 3. Graphs and Inequations
    3A Inequations and Inequalities
    3B Intercepts and Sign
    3C Domain and Symmetry
    3D The Absolute Value Function
    3E Using Graphs to Solve Equations and Inequations
    3F Regions in the Number Plane
    3G Asymptotes and a Curve Sketching Menu

    Chapter 4. Trigonometry
    4A Trigonometry with Right Triangles
    4B Theoretical Exercises on Right Triangles
    4C Trigonometric Functions of a General Angle
    4D The Quadrant, the Related Angle and the Sign
    4E Given One Trigonometric Function, Find Another
    4F Trigonometric Identities and Elimination
    4G Trigonometric Equations
    4H The Sine Rule and the Area Formula
    4I The Cosine Rule
    4J Problems Involving General Triangles

    Chapter 5. Coordinate Geometry
    5A Points and Intervals
    5B Gradients of Intervals and Lines
    5C Equations of Lines
    5D Further Equations of Lines
    5E Perpendicular Distance
    5F Lines Through the Intersection of Two Given Lines
    5G Coordinate Methods in Geometry

    Chapter 6. Sequences and Series
    6A Indices
    6B Logarithms
    6C Sequences and How to Specify Them
    6D Arithmetic Sequences
    6E Geometric Sequences
    6F Arithmetic and Geometric Means
    6G Sigma Notation
    6H Partial Sums of a Sequence
    6I Summing an Arithmetic Series
    6J Summing a Geometric Series
    6K The Limiting Sum of a Geometric Series
    6L Recurring Decimals and Geometric Series
    6M Factoring Sums and Differences of Powers
    6N Proof by Mathematical Induction

    Chapter 7. The Derivative
    7A The Derivative — Geometric Definition
    7B The Derivative as a Limit
    7C A Rule for Differentiating Powers of x
    7D The Notation dy/dx
    for the Derivative
    7E The Chain Rule
    7F The Product Rule
    7G The Quotient Rule
    7H Rates of Change
    7I Limits and Continuity
    7J Differentiability
    7K Extension — Implicit Differentiation

    Chapter 8. The Quadratic Function
    8A Factorisation and the Graph
    8B Completing the Square and the Graph
    8C The Quadratic Formulae and the Graph
    8D Equations Reducible to Quadratics
    8E Problems on Maximisation and Minimisation
    8F The Theory of the Discriminant
    8G Definite and Indefinite Quadratics
    8H Sum and Product of Roots
    8I Quadratic Identities

    Chapter 9. The Geometry of the Parabola
    9A A Locus and its Equation
    9B The Geometric Definition of the Parabola
    9C Translations of the Parabola
    9D Parametric Equations of Curves
    9E Chords of a Parabola
    9F Tangents and Normals: Parametric Approach
    9G Tangents and Normals: Cartesian Approach
    9H The Chord of Contact
    9I Geometrical Theorems about the Parabola
    9J Locus Problems
    Chapter 10. The Geometry of the Derivative
    10A Increasing, Decreasing and Stationary at a Point
    10B Stationary Points and Turning Points
    10C Critical Values
    10D Second and Higher Derivatives
    10E Concavity and Points of Inflexion
    10F Curve Sketching using Calculus
    10G Global Maximum and Minimum
    10H Applications of Maximisation and Minimisation
    10I Maximisation and Minimisation in Geometry
    10J Primitive Functions

    Chapter 11. Integration
    11A Finding Areas by a Limiting Process
    11B The Fundamental Theoremof Calculus
    11C The Definite Integral and its Properties
    11D The Indefinite Integral
    11E Finding Area by Integration
    11F Area of a Compound Region
    11G Volumes of Solids of Revolution
    11H The Reverse Chain Rule
    11I The Trapezoidal Rule
    11J Simpson’s Rule

    Chapter 12. The Logarithmic Function
    12A Review of Logarithmic and Exponential Functions
    12B The Logarithmic Function and its Derivative
    12C Applications of Differentiation
    12D Integration of the Reciprocal Function
    12E Applications of Integration

    Chapter 13. The Exponential Function
    13A The Exponential Function and its Derivative
    13B Applications of Differentiation
    13C Integration of the Exponential Function
    13D Applications of Integration
    13E Natural Growth and Decay

    Chapter 14. The Trigonometric Functions
    14A Radian Measure of Angle Size
    14B Mensuration of Arcs, Sectors and Segments
    14C Graphs of the Trigonometric Functions in Radians
    14D Trigonometric Functions of Compound Angles
    14E The Angle Between Two Lines
    14F The Behaviour of sin x Near the Origin
    14G The Derivatives of the Trigonometric
    14H Applications of Differentiation
    14I Integration of the Trigonometric Functions
    14J Applications of Integration

    Answers to Exercises
    Index 

    ISBN: 9781107633322
    ISBN-10: 110763332X
    Series: Cambridge Secondary Maths (Australia) S.
    Audience: Primary / High School
    For Ages: 15 - 16 years old
    For Grades: 11
    Format: Paperback
    Language: English
    Number Of Pages: 432
    Published: 1st August 2012
    Publisher: Cambridge University Press
    Country of Publication: GB
    Dimensions (cm): 28.0 x 21.0  x 2.4
    Weight (kg): 1.6
    Edition Number: 2
    Edition Type: Revised