This book is designed to help first-year mathematics students transition from school mathematics to university mathematics, thereby assisting them in avoiding many common first-year mistakes. Starting out is always challenging, and the authors aim to make this beginning as easy as possible while helping students navigate the difficulties that are completely normal in the first semester. The book is different from others because it has been written by students who have experience as tutors, teaching assistants, and graders. This means the authors are aware of which topics are particularly difficult to understand and need to be explained in detail, as well as common mistakes they can point out. The book includes a mathematical section that students must master for exams, which they can refer back to in case of questions or problems.