
Foundation Mathematics
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Content
- Cover
- Summary of contents
- Contents
- Preface
- How to use this book
- Useful background information
- Module 1 Arithmetic
- Unit 1 Types of numbers
- Unit 2 Factors and prime numbers
- Unit 3 Fractions, ratios and percentages
- Unit 4 Decimal numbers
- Unit 5 Powers
- Unit 6 Number systems
- Module 2 Introduction to algebra
- Unit 7 Algebraic expressions
- Unit 8 Powers
- Unit 9 Algebraic multiplication and division
- Unit 10 Factorization of algebraic expressions
- Module 3 Expressions and equations
- Unit 11 Expressions and equations
- Unit 12 Evaluating expressions
- Module 4 Graphs
- Unit 13 Graphs of equations
- Unit 14 Using a spreadsheet
- Unit 15 Inequalities
- Unit 16 Absolute values
- Module 5 Linear equations and simultaneous linear equations
- Unit 17 Linear equations
- Module 6 Polynomial equations
- Unit 18 Polynomial equations
- Module 7 Partial fractions
- Unit 19 Partial fractions
- Unit 20 Denominators with repeated and quadratic factors
- Module 8 Trigonometry
- Unit 21 Angles and trigonometric ratios
- Unit 22 Trigonometric identities
- Module 9 Functions
- Unit 23 Processing numbers
- Unit 24 Composition - 'function of a function'
- Unit 25 Trigonometric functions
- Unit 26 Inverse trigonometric functions
- Unit 27 Exponential and logarithmic functions
- Unit 28 Odd and even functions
- Unit 29 Limits
- Module 10 Matrices
- Unit 30 Matrices
- Unit 31 Inverse matrices
- Unit 32 Solving simultaneous linear equations
- Module 11 Vectors
- Unit 33 Scalar and vector quantities
- Unit 34 Vectors in space
- Unit 35 Products of vectors
- Module 12 Binomial series
- Unit 36 Factorials and combinations
- Unit 37 Binomial series
- Unit 38 The (sigma) notation
- Module 13 Sets
- Unit 39 Sets and subsets
- Unit 40 Set operations
- Unit 41 Set properties
- Module 14 Probability
- Unit 42 Empirical probability
- Unit 43 Classical probability
- Unit 44 Addition law of probability
- Unit 45 Multiplication law and conditional probability
- Module 15 Statistics
- Unit 46 Data
- Unit 47 Measures of central tendency
- Unit 48 Dispersion
- Unit 49 The normal distribution
- Module 16 Regression and correlation
- Unit 50 Regression
- Unit 51 Correlation
- Module 17 Introduction to differentiation
- Unit 52 Gradients
- Unit 53 Further differentiation
- Module 18 Partial differentiation
- Unit 54 Partial differentiation
- Unit 55 Further partial differentiation
- Unit 56 Calculating errors
- Module 19 Integration
- Unit 57 Integration
- Unit 58 Integration of polynomial expressions
- Unit 59 Integration by partial fractions
- Unit 60 Integration by parts
- Unit 61 Areas under curves
- Unit 62 Integration as a summation
- Answers
- Index
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