Often calculus and mechanics are taught as separate subjects. It shouldn't be like that. Learning calculus without mechanics is incredibly boring. Learning mechanics without calculus is missing the point. This textbook integrates both subjects and highlights the profound connections between them.

This is the deal. Give me 350 pages of your attention, and I'll teach you everything you need to know about functions, limits, derivatives, integrals, vectors, forces, and accelerations. This book is the only math book you'll need for the first semester of undergraduate studies in science.

With concise, jargon-free lessons on topics in math and physics, each section covers one concept at the level required for a first-year university course. Anyone can pick up this book and become proficient in calculus and mechanics, regardless of their mathematical background.

Table of Contents

1 Math fundamentals

2 Introduction to physics

3 Vectors

4 Mechanics

5 Calculus

End matter

A Answers and solutions

B Notation

C Constants, units, and conversion ratios

D SymPy tutorial

E Formulas

About the Author

Ivan Savov combines 17 years of tutoring experience with a B.Eng. in electrical engineering, an M.Sc. in physics, and a Ph.D. in computer science from McGill University. Tutoring made him realize that understanding connections between concepts is much more important than memorizing facts. It's not about how many equations you know, but about knowing how to get from one equation to another. He founded the Minireference Publishing company to start a revolution in the textbook industry by making textbooks that don't suck.