This textbook covers the fundamentals of analysis and linear algebra that are prerequisites for a bachelor's degree in economics. The content and its presentation stem from the author's extensive experience with the corresponding first-semester course at HTW Berlin. The primary goal is to provide a clear, simple, and application-oriented presentation. The textbook is particularly aimed at students who have a conflicted relationship with mathematics from their school days. It is suitable for self-study as well as a foundation for instructors. Starting from applied examples, the most important concepts are introduced and discussed. Each subsection concludes with a variety of multiple-choice and calculation exercises. Detailed solutions for a large portion of the exercises are provided at the end of the book.