Part 1: Disc 1. Lecture 1. A preview of calculus ; Lecture 2. Review: Graphs, models, and functions ; Lecture 3. Review: Functions and trigonometry ; Lecture 4. Finding limits ; Lecture 5. An introduction to continuity ; Lecture 6. Infinite limits and limits at infinity --
Disc 2. Lecture 7. The derivative and the tangent line problem ; Lecture 8. Basic differentiation rules ; Lecture 9. Product and quotient rules ; Lecture 10. The chain rule ; Lecture 11. Implicit differentiation and related rates ; Lecture 12. Extrema on an interval.
Part 2: Disc 3. Lecture 13. Increasing and decreasing functions ; Lecture 14. Concavity and points of inflection ; Lecture 15. Curve sketching and linear approximations ; Lecture 16. Applications: Optimization problems, part 1 ; Lecture 17. Applications: Optimization problems, part 2 ; Lecture 18. Antiderivatives and basic integration rules --
Disc 4. Lecture 19. The area problem and the definite integral ; Lecture 20. The fundamental theorem of calculus, part 1 ; Lecture 21. The fundamental theorem of calculus, part 2 ; Lecture 22. Integration by substitution ; Lecture 23. Numerical integration ; Lecture 24. Natural logarithmic function, differentiation.
Part 3: Disc 5. Lecture 25. Natural logarithmic function, integration ; Lecture 26. Exponential function ; Lecture 27. Bases other than e ; Lecture 28. Inverse trigonometric functions ; Lecture 29. Area of a region between 2 curves ; Lecture 30. Volume, the disk method --
Disc 6. Lecture 31. Volume, the shell method ; Lecture 32. Applications, arc length and surface area ; Lecture 33. Basic integration rules ; Lecture 34. Other techniques of integration ; Lecture 35. Differential equations and slope fields ; Lecture 36. Applications of differential equations.
