Home Page

 

These powerpoint lectures were created by Professor Mario Borelli in Fall 2011. He has kindly donated them for the use of all students in this course.

Use Firefox to download the files if you have problems.

1. Review Precalculus

2. Tangents

3. Limits

4. Laws of Limits

5. Precise Definition of Limit

6. Continuity

7. Derivatives

8. Derivatives as functions

9. Differentiation Formulas

10. Chain Rule

11. Implicit Differentiation

12. Applications of the Rate of change

13. Related Rates

14. Linear Approximation

15. Maxima and Minima

16. The Mean Value Theorem

17 Derivatives and Graphs

18 Derivatives and Graphs

19/20. Limits at Infinity

20. Optimization

21. Newton's Method

22. Antiderivatives

23. Areas and Distances

24. The Definite Integral

25. Indefinite Integrals and the Fundamental Theorem

26. The Method of Substitution

27. Area Between Curves

28. Volumes Disks and washers

29. Volumes Cylindrical Shells

30. Work

31. Mean Value Theorem for Integrals

32. Computing Antiderivatives

Calculus Review