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Lecture Calculus I.

 

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1. Review precalc

Solutions to Lecture 1

More Detailed Review Precalc For Independent Study

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2. Tangents

Solutions to Lecture 2

Videos: Tangents

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3. Limits

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4. Laws of Limits

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5. Continuity

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6. Derivatives

Solutions to lectures 5 and 6

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7. Derivatives as functions

Solutions To Lecture 7

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8. Differentiation Formulas

Solutions to lecture 8

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9. Trigonometric Functions

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10. Chain Rule

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11. Implicit Differentiation

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12. Applications of the Rate of change

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13. Related Rates

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14. Linear Approximation

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15. Maxima and Minima

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16. The Mean Value Theorem

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17/18 Derivatives and Graphs

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19.Limits at Infinity

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20. Summary of Curve Sketching

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21.Optimization

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22.Newton's Method

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23.Antiderivatives

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24.Areas and Distances

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25.The Definite Integral

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26.The Fundamental Theorem of calculus

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27. Indefinite Integrals and The Fundamental Theorem

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28. The method of Substitution

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29.Area Betwwen Curves

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30.Volumes

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31.Volumes 2

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32. Work

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33.Average Value of a Function

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