Machine derived contents note: 1. Graphing functions -- 2. Introduction to limits of functions -- 3. Zooming in -- 4. Discovering the derivative -- 5. Investigating the intermediate value theorem -- 6. Relationship between a function and its derivative -- 7. Linking up with the chain rule -- 8. Sensitivity analysis -- 9. Newton's method -- 10. Indeterminate limits and l'Hp̥ital's Rule -- 11. Riemann sums and the definite integral -- 12. Area functions -- 13. Average value of a function -- 14. Arc length -- 15. A mystery function -- 16. Exploring exponentials -- 17. Patterns of integrals -- 18. Numerical integration -- 19. Becoming secure with sequences -- 20. Getting serious about series -- 21. Limit comparison test -- 22. Approximate functions by polynomials -- 23. Radius of convergence for power series -- 24. Polar equations -- 25. Differential equations and Euler's method -- 26. Shapes of surfaces -- Syllabi for calculus I and II