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Open CosmologyPhysics & cosmology: four years, plus a graduate year
Mathematics · Year I

18.01 Single Variable Calculus

Differentiation and integration of functions of one variable: limits, derivatives, applications, integrals, techniques of integration, and infinite series.

Based on MIT OpenCourseWare, Fall 2006 · Prof. David Jerison · Course on OCW

Lectures (0 of 35 with pages so far)

  1. Lecture 1Rate of ChangeMIT ↗
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  2. Lecture 2LimitsMIT ↗
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  3. Lecture 3DerivativesMIT ↗
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  4. Lecture 4Chain RuleMIT ↗
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  5. Lecture 5Implicit DifferentiationMIT ↗
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  6. Lecture 6Exponential and LogMIT ↗
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  7. Lecture 7Exam 1 ReviewMIT ↗
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  8. Lecture 9Linear and Quadratic ApproximationsMIT ↗
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  9. Lecture 10Curve SketchingMIT ↗
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  10. Lecture 11Max-minMIT ↗
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  11. Lecture 12Related RatesMIT ↗
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  12. Lecture 13Newton's MethodMIT ↗
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  13. Lecture 14Mean Value TheoremMIT ↗
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  14. Lecture 15AntiderivativesMIT ↗
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  15. Lecture 16Differential EquationsMIT ↗
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  16. Lecture 18Definite IntegralsMIT ↗
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  17. Lecture 19First Fundamental TheoremMIT ↗
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  18. Lecture 20Second Fundamental TheoremMIT ↗
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  19. Lecture 21Applications to LogarithmsMIT ↗
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  20. Lecture 22VolumesMIT ↗
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  21. Lecture 23Work, ProbabilityMIT ↗
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  22. Lecture 24Numerical IntegrationMIT ↗
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  23. Lecture 25Exam 3 ReviewMIT ↗
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  24. Lecture 27Trig IntegralsMIT ↗
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  25. Lecture 28Inverse SubstitutionMIT ↗
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  26. Lecture 29Partial FractionsMIT ↗
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  27. Lecture 30Integration by PartsMIT ↗
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  28. Lecture 31Parametric EquationsMIT ↗
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  29. Lecture 32Polar CoordinatesMIT ↗
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  30. Lecture 33Exam 4 ReviewMIT ↗
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  31. Lecture 35Indeterminate FormsMIT ↗
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  32. Lecture 36Improper IntegralsMIT ↗
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  33. Lecture 37Infinite SeriesMIT ↗
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  34. Lecture 38Taylor's SeriesMIT ↗
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  35. Lecture 39Final ReviewMIT ↗
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Note: Lectures 8, 17, 26 and 34 were exams in this course and have no lecture video.