Bridging the Gap to University Mathematics

By Edward Hurst , Martin Gould

Bridging the Gap to University Mathematics Cover Image

Written by students for students, this book offers a refreshing, new approach to making the transition into undergraduate-level mathematics or a similar numerate degree. The book contains chapters rich with worked examples and exercises.

Full Description

  • ISBN13: 978-1-8480-0289-0
  • 372 Pages
  • Publication Date: January 8, 2009
  • Available eBook Formats: PDF
  • eBook Price: $49.95
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Full Description
Designed as an introduction to higher-education mathematics, Bridging the Gap is the only book of this sort written for students by students. The authors, Martin Gould and Edward Hurst, wrote this book as second-year undergraduates at Warwick University. Their experiences as students have helped them create an approachable and comprehensive introductory text that will be of benefit to anyone looking to make the step-up to university education. This book contains chapters rich with worked examples and exercises covering all the key subject-areas that a first-year undergraduate will encounter, such as Inequalities, Complex Numbers, Probability, Matrices and many more. The authors have also included a “Test Yourself” exercise at the beginning of each chapter so that students will know straightaway which chapters will be of most use to them. Every topic concludes with a “Where Now?” section that helps the reader find out exactly how and where they can apply their newly-learned skills.
Table of Contents

Table of Contents

  1. Preface.
  2. 1. Inequalities.
  3. 2. Trigonometry, Differentiation and Exponents.
  4. 3. Polar Co
  5. Ordinates.
  6. 4. Complex Numbers.
  7. 5. Vectors.
  8. 6. Matrices.
  9. 7. Matrices as Maps.
  10. 8. Separable Differential Equations.
  11. 9. Integrating Factors.
  12. 10. Mechanics.
  13. 11. Logic, Sets and Functions.
  14. 12. Proof Methods.
  15. 13. Probability.
  16. 14. Distribution.
  17. 15. Making Decisions.
  18. 16. Geometry.
  19. 17. Hyperbolic Trigonometry.
  20. 18. Motion and Curvature.
  21. 19. Sequences.
  22. 20. Series.
  23. A. Appendix.
  24. Extension Questions.
  25. Worked Solutions to Extension Questions.
  26. Solutions to Exercises.
  27. Index.
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