### 12th Grade Calculus Online Tutoring

Online Tutoring Index : 12th Grade Math : Calculus

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This is a representative list of topics covered in our Grade 12 Math - Calculus program. However all our programs will be customized for the individual student.

1. Limits- operations on functions

2. Limits of sums

3. Limits of products

4. Limits of quotients

5. Limits of composition of functions

6. Continuity of a function

7. Intermediate value, extreme value theorem

8. Intermediate value theorem

9. Extreme value theorem

10. Derivatives, differentiability

11. Derivative of a function at a point

12. Differentiability

13. Derivatives of higher orders

14. Derivatives of functions

15. Derivatives of algebraic functions

16. Derivatives of trigonometric functions

17. Derivatives of inverse trigonometric functions

18. Derivatives of exponential functions

19. Derivatives of logarithmic functions

20. Chain rule

21. Rolle

22. Mean value theorem

23. Maxima, minima, inflection points, intervals

24. Maxima

25. Minima

26. Inflection points

27. Intervals

28. Newton's method (approximating the zeros of a function)

29. Differentiation to solve problems

30. Differentiation to solve optimization problems

31. Differentiation to solve rate problems

32. Definite/indefinite integrals

33. Definite integrals

34. Indefinite integrals

35. Riemann sums

36. Fundamental theorem of calculus

37. Definite integrals problems

38. Definite integrals in problems involving area

39. Definite integrals in problems involving velocity

40. Definite integrals in problems involving acceleration

41. Definite integrals in problems involving volume of a solid

42. Definite integrals in problems involving area of a surface of revolution

43. Definite integrals in problems involving length of a curve

44. Definite integrals in problems involving work

45. Techniques of integration

46. Techniques of integration – substitution

47. Techniques of integration - integration by parts

48. Techniques of integration - trigonometric substitution

49. Inverse trigonometric functions

50. Integrals of functions

51. Integrals of rational functions

52. Integrals of trigonometric functions

53. Simpson's rule, Newton's method

54. Simpson's rule

55. Newton's method

56. Improper integrals (limits of definite integrals)

57. Tests for convergence/divergence of sequences/series

58. Convergence and divergence of sequences of real numbers

59. Convergence and divergence of series of real numbers

60. Comparison test

61. Ratio test

62. Alternate series test

63. Power series, Taylor series/polynomials

64. Power series

65. Taylor series

66. Taylor polynomials

67. Elementary differential equations

68. Solutions of selected elementary differential equations

69. Applications of elementary differential equations - growth-and-decay problems

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