Table of Contents

• 1. Arithmetic of whole numbers
• 2. Fractions
• 3. Decimal numbers
• 4. Percentage and ration
• 5. Algebra
• 6. Indices
• 7. Simplifying algebraic expressions
• 8. Factorisation
• 9. Algebraic fractions
• 10. Transposing formulae
• 11. Solving equations
• 12. Sequences and series
• 13. Sets
• 14. Number bases
• 15. Elementary logic
• 16. Functions
• 17. Graphs of functions
• 18. The straight line
• 19. The exponential function
• 20. The logarithm function
• 21. Measurement
• 22. Introduction to trigonometry
• 23. The trigonometrical functions and their graphs
• 24. Trigonometrical identities and equations
• 25. Solutions of triangles
• 26. Vectors
• 27. Matrices
• 28. Complex numbers
• 29. Tables and charts
• 30. Statistics
• 31. Probability
• 32. Correlation
• 33. Regression
• 34. Gradients of curves
• 35. Techniques of differentiation
• 36. Integration and areas under curves
• 37. Techniques of integration
• 38. Functions of more than one variable and partial differentiation

About the Author

Anthony Croft has taught mathematics in further and higher education institutions for over thirty years. He is currently Professor of Mathematics Education and Director of sigma - the Centre for Excellence in Teaching and Learning based in the Mathematics Education Centre at Loughborough University. He teaches mathematics and engineering undergraduates, and has championed mathematics support for students who find the transition from school to university difficult. He has authored many very successful mathematics textbooks, including several for engineering students. In 2008 he was awarded a National Teaching Fellowship in recognition of his work in these fields.

Robert Davison has thirty years’ experience teaching mathematics in both further and higher education. He has authored many very successful mathematics textbooks, including several for engineering students.