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Calculus 1
A Brief Review of Algebra (for Reference)
Lecture Notes
A Brief Review of Trigonometry (for Reference)
Lecture Notes
1. The Concept of a Limit
Lecture Notes
Homework
2. Limits and One Sided Limits
Lecture Notes
Homework
3. Calculating Limits
Lecture Notes
Homework
4. Infinite Limits
Lecture Notes
Homework
5. Limits at Infinity
Lecture Notes
Homework
6. Continuity
Lecture Notes
Homework
7. The Formal Definition of a Limit
Lecture Notes
Homework
8. The Derivative of a Function
Lecture Notes
Homework
9. The Graph of f'(x)
Lecture Notes
Homework
10. Some Differentiation Rules
Lecture Notes
Homework
11. The Product and Quotient Rules
Lecture Notes
Homework
12. Derivatives of Trigonometric Functions
Lecture Notes
Homework
13. Derivatives and Rates of Change
Lecture Notes
Homework
14. The Chain Rule
Lecture Notes
Homework
15. Implicit Differentiation
Lecture Notes
Homework
16. Related Rate Problems
Lecture Notes
Homework
17. Maximum and Minimum Values
Lecture Notes
Homework
18. Derivatives and the Shapes of Graphs
Lecture Notes
Homework
19. Graphing Functions
Lecture Notes
Homework
20. Optimization Problems
Lecture Notes
Homework
21. Linear Approximations and Differentials
Lecture Notes
Homework
22. The Mean Value Theorem
Lecture Notes
Homework
23. Antiderivatives
Lecture Notes
Homework
24. Approximating the Area under a Curve
Lecture Notes
Homework
25. Definite Integrals
Lecture Notes
Homework
26. The Fundamental Theorem of Calculus
Lecture Notes
Homework
27. More Properties of Integrals
Lecture Notes
Homework
28. The Substitution Rule
Lecture Notes
Homework
29. Net Change- Integrating the Derivative
Lecture Notes
Homework
30. Area Between Curves
Lecture Notes
Homework