Foundation Maths (6e)

Foundation Maths  has been written for students taking higher and further education courses who have not specialised in mathematics on post-16 qualifications and need to use mathematical tools in their courses. It is ideally suited to those studying marketing, business studies, management, science, engineering, social science, geography, combined studies and design. It will be useful for those who lack confidence and who need careful, steady guidance in mathematical methods. For those whose mathematical expertise is already established, the book will be a helpful revision and reference guide. The style of the book also makes it suitable for self-study and distance learning. 

• 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

New to this sixth edition

·    Fully integrated with MyMathLab, a powerful online homework, tutorial and self-study system.

·    Video tutorials on the companion website for selected exercises and examples.

·    New chapter on Complex Numbers

·    Additional material on partial fractions

• Mathematical processes are described in everyday language – mathematical ideas are usually developed by example rather than formal proof, thereby encouraging students’ learning.
• Key points highlight important results that need to be referred to easily or remembered.
• Worked examples are included throughout the book to reinforce learning.
• Self-assessment questions are provided at the end of most sections to test understanding of important parts of the section. Answers are given at the back of the book.
• Exercises provide a key opportunity to develop competence and understanding through practice. Answers are given at the back of the book.
• Demanding, Challenge Exercises are included at the end of  most Chapters to stretch the keenest students
• Test and assignment exercises allow lecturers and tutors to set regular assignments or tests throughout the course.

   

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.