This custom edition is published for Curtin University.
PART 1 Introduction to Algebra
Negative Numbers
Expressions
Brackets
Fractions
Exercises
PART 2 Linear Equations
Equations
Inequality
Intervals
Exercises
Graphing
Simultaneous Equations
Functions, Domain and Range
Appendix – Transposition of Formulae
Appendix – Some Mathematical Notation
PART 3 Non-Linear Equations
Quadratic Functions
Indices and Logarithms
The Exponential and Natural Logarithms
PART 4 Differentiation
The Derivative of a Function
Rules of Differentiation
Further Rules of Differentiation
Optimisation of Economic Functions
The Derivative of Exponential and Natural Logarithms
PART 5 Partial Differentiation
Functions of Several Variables
Unconstrained Optimisation
Constrained Optimisation
Lagrange Multipliers
Formal Mathematics
PART 6 Differential Equations
Differential Equations
PART 7 Introduction to Statistics and Data Analysis
Defining and Collecting Data
PART 8 Introduction to Statistics and Data Analysis
Organising and Visualising Variables
PART 9 Descriptive Statistics
Numerical Descriptive Measures
PART 10 Basic Probability
Basic Probability
PART 11 Probability Distribution
Discrete Probability Distributions
Normal Distribution and Other Continuous Distributions
PART 12 Sampling Distribution
Sampling Distributions
PART 13 Confidence Interval Estimations
Confidence Interval Estimations
PART 14 Fundamentals of Hypothesis Testing: One Sample Test
Fundamentals of Hypothesis Testing: One Sample Tests
PART 15 Two Sample Tests
Two-Sample Tests
PART 16 Analysis of Variance
Analysis of Variance
PART 17 Solutions
Answers
Tables