Calculus I — Contents
Limits, derivatives and integrals — every example and exercise of the course book, brought to life with interactive labs, full solutions and bilingual terms.
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Welcome to Calculus I — an interactive open textbook from the University of Technology and Applied Sciences, Nizwa. Every section follows the course book: every example is worked step by step, every exercise has a full solution, and every idea has a live lab you can play with. Start with the big picture, check your background in Chapter 0, then work through the chapters in order.
🎮 Interactive labsDrag sliders, press ▶ Play and watch limits, tangents and areas move.
✅ Every problem solvedAll book examples and exercises, with step-by-step solutions to reveal.
ع Bilingual termsHover a dotted word for its Arabic name and meaning; press ع to show Arabic everywhere.
📋 Formula sheetOne searchable page with every formula, linked to where it is taught.
🧪 Self-check quizzesA short quiz at the end of each section.
⌨️ Handy keys/ search sections · Esc close · 🌓 light/dark · Print opens all solutions.
Contents
🔑 Access
Chapters 0–1 are free; Chapters 2–4 🔒 need a Basic or Premium plan. To get access, subscribe and contact admin@tutorda.org. The welcome page, formula sheet and glossary are open to everyone.
Chapter 1
Limits and Continuity
Chapter 2
Derivatives
Chapter 3
Applications of Derivatives
Chapter 4
Antiderivatives and Integration
📚 About this book
Compiled by Dr. Naseer Ahmed and Ms. Suganthi Gopal, University of Technology and Applied Sciences, Nizwa (naseer.shukoor@utas.edu.om).