- 1 Introduction to theBook
- 1.1 The Language of Mathematics
- 2 Exponents
- 2.1 Introduction
- 2.2 Laws of Exponents.
- 2.3 Exponentials in theReal World
- 3 Surds
- 3.1 Introduction
- 3.2 Surd Calculations
- 4 Error Margins
- 4.1 Introduction
- 4.2 Rounding Off
- 5 Quadratic Sequences
- 5.1 Introduction
- 5.2 What is a Quadratic Sequence?
- 6 Finance
- 6.1 Introduction
- 6.2 Depreciation
- 6.3 Simple Decay or Straight-line depreciation.
- 6.4 Compound Decayor Reducing-balance depreciation
- 6.5 Present and FutureValues of an Investmentor Loan
- 6.6 Finding i
- 6.7 Finding n — Trial and Error
- 6.8 Nominal and Effective Interest Rates
- 6.9 Formula Sheet
- 7 Solving Quadratic Equations
- 7.1 Introduction
- 7.2 Solution by Factorisation
- 7.3 Solution by Completing the Square
- 7.4 Solution by the Quadratic Formula
- 7.5 Finding an Equation When You Know its Roots
- 8 Solving Quadratic Inequalities
- 8.1 Introduction
- 8.2 Quadratic Inequalities
- 9 Solving Simultaneous Equations CONTENTS CONTENTS
- 9.1 Introduction
- 9.2 Graphical Solution.
- 9.3 Algebraic Solution.
- 10 Mathematical Models
- 10.1 Introduction
- 10.2 Mathematical Models
- 10.3 Real-World Applications
- 11 Quadratic Functionsand Graphs
- 11.1 Introduction
- 11.2 Functions of the Form y = a(x + p)^2 + q
- 12 Hyperbolic Functions and Graphs
- 12.1 Introduction
- 12.2 Functions of the Form y =xa+p+ q
- 13 Exponential Functions and Graphs
- 13.1 Introduction
- 13.2 Functions of the Form y = ab(x+p)+ q for b >
- 14 Gradient at a Point
- 14.1 Introduction
- 14.2 Average Gradient
- 15 Linear Programming
- 15.1 Introduction
- 15.2 Terminology
- 15.3 Example of a Problem
- 15.4 Method of Linear Programming
- 15.5 Skills You Will Need
- 16 Geometry
- 16.1 Introduction
- 16.2 Right Pyramids, Right Cones and Spheres
- 16.3 Similarity of Polygons
- 16.4 Triangle Geometry.
- 16.5 Co-ordinate Geometry
- 16.6 Transformations
- 17 Trigonometry
- 17.1 Introduction
- 17.2 Graphs of Trigonometric Functions
- 17.3 Trigonometric Identities
- 17.4 Solving Trigonometric Equations
- 17.5 Sine and Cosine Identities
- 18 Statistics CONTENTS CONTENTS
- 18.1 Introduction
- 18.2 Standard Deviationand Variance
- 18.3 Graphical Representation of Measures of Central Tendency and Dispersion
- 18.4 Distribution of Data
- 18.5 Scatter Plots
- 18.6 Misuse of Statistics.
- 19 Independent and Dependent Events
- 19.1 Introduction
- 19.2 Definitions
marvins-underground-k-12
(Marvins-Underground-K-12)
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