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Mathematics: Calculus

Below are links to a full college-level Calculus 1 course.

1) What is Calculus ?

2) Limit of a Function

3) Calculating Limits

4) Definition of the Limit

5) Continuity

6) A Note on Infinities

7) Tangents and Velocity (4 step process)

8) Derivatives as Functions

9) Differentiability

10) Derivative Laws part 1

11) Derivative Laws part 2

12) Derivative Laws part 3

13) Derivative Laws part 4

14) Implicit Differentiation

15) Derivatives of Exponents

16) Derivatives of Logarithms

17) Higher Derivatives

18) Related Rates

19) Linear Approximations

20) Hyperbolic Trig Functions

21) Mean Value Theorem

22) L’ Hospital’s Rule

23) Optimization

24) Anti Derivatives

25) Areas Under Curves

26) Definite Integrals

27) Fundamental Theorem part 1

28) Fundamental Theorem part 2

29) Fundamental Theorem Addendum

30) Substitution Rule

31) Area between Curves

32) Volume

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