Cover title

Introduction -- 1 Minute calculus: x-ray and time-lapse vision -- Practicing x-ray and time-lapse vision -- Expanding our intuition -- Learning the official terms -- Music from the machine -- Improving arithmetic and algebra -- Seeing how lines work -- Playing with squares -- Working with infinity -- The theory of derivatives -- The Fundamental Theorem of Calculus (FTOC) -- The basic arithmetic of calculus -- Finding patterns in the rules -- The fancy arithmetic of calculus -- Discovering Archimedes' formulas -- Afterword -- Appendix: Learning checklist -- Appendix: Calculus study plan