Helps to ease the transition between school, college, and university mathematics by reintroducing readers to a range of topics that they will encounter in the first year of a degree course in the mathematical sciences. It refreshes their knowledge of basic techniques and focuses on areas that are often perceived as the most challenging. Each chapter starts with a "Test Yourself" section, allowing readers to monitor their progress and identify areas where their understanding is incomplete. A variety of exercises, complete with full solutions, makes the book ideal for self-study.