- 1 Introduction to Book
- 1.1 The Language of Mathematics
- 2 Logarithms
- 2.1 Introduction
- 2.2 Definition of Logarithms
- 2.3 Logarithm Bases
- 2.4 Laws of Logarithms
- 2.5 Logarithm Law 1: loga1 =
- 2.6 Logarithm Law 2: loga(a) =
- 2.7 Logarithm Law 3: loga(x.y) = loga(x) + loga(y)
- = loga(x)− loga(y) �
- 2.9 Logarithm Law 5: loga(xb) = b loga(x)
- x) =logab(x) √
- 2.11 Solving Simple LogEquations
- 2.12 Logarithmic Applications in the Real World
- 3 Sequences and Series
- 3.1 Introduction
- 3.2 Arithmetic Sequences
- 3.3 Geometric Sequences
- 3.4 Recursive Formulae for Sequences
- 3.5 Series
- 3.6 Finite Arithmetic Series
- 3.7 Finite Squared Series
- 3.8 Finite Geometric Series
- 3.9 Infinite Series
- 4 Finance
- 4.1 Introduction
- 4.2 Finding the Lengthof the Investment or Loan
- 4.3 Series of Payments.
- 4.4 Investments and Loans
- 4.5 Formula Sheet
- 5 Factorising Cubic Polynomials
- 5.1 Introduction
- 5.2 The Factor Theorem
- 5.3 Factorisation of Cubic Polynomials
- 5.4 Solving Cubic Equations
- 6 Functions and Graphs CONTENTS CONTENTS
- 6.1 Introduction
- 6.2 Definition of a Function
- 6.3 Notation Used forFunctions
- 6.4 Graphs of InverseFunctions
- 7 Differential Calculus
- 7.1 Introduction
- 7.2 Limits
- 7.3 Differentiation fromFirst Principles
- 7.4 Rules of Differentiation
- 7.5 Applying Differentiation to Draw Graphs
- 7.6 Using DifferentialCalculus to Solve Problems
- 8 Linear Programming
- 8.1 Introduction
- 8.2 Terminology
- 8.3 Linear Programming and the Feasible Region
- 9 Geometry
- 9.1 Introduction
- 9.2 Circle Geometry
- 9.3 Co-ordinate Geometry
- 9.4 Transformations
- 10 Trigonometry
- 10.1 Introduction
- 10.2 Compound AngleIdentities
- 10.3 Applications of Trigonometric Functions
- 10.4 Other Geometries.
- 11 Statistics
- 11.1 Introduction
- 11.2 Normal Distribution
- 11.3 Extracting a Sample Population
- 11.4 Function Fitting and Regression Analysis
- 12 Combinations and Permutations
- 12.1 Introduction
- 12.2 Counting
- 12.3 Notation
- 12.4 Fundamental Counting Principle
- 12.5 Combinations
- 12.6 Permutations
- 12.7 Applications
marvins-underground-k-12
(Marvins-Underground-K-12)
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