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Mathematics-II (R-13)

University

JNTU Hyderabad

Department

Civil and Environmental Engineering

Semester

1 Year I Semester

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(1 REVIEW)

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  1. Introduction to Laplace Transforms
  2. Introduction to Laplace Transforms
  3. Laplace Transforms of Standard /Basic Functions
  4. Laplace Transforms of Standard / Basic Functions
  5. First Shifting Theorem (or) First Translation Theorem
  6. First Shifting Theorem (or) First Translation Theorem
  7. Second Shifting Theorem (or) Second Translation Theorem
  8. Second Shifting Theorem (or) Second Translation Theorem
  9. Unit Step Function and Problem Based on 2nd Shifting Theorem
  10. Unit Step Function and Problem Based on 2nd Shifting Theorem
  11. Change of Scale of Property
  12. Change of Scale of Property
  13. Laplace transform of some special functions ( Dirac Function )
  14. Laplace transform of some special functions (Dirac Function)
  15. Laplace Transforms of Derivatives
  16. Laplace Transforms of Derivatives
  17. Laplace Transforms of Integrals
  18. Laplace Transforms of Integrals
  19. Laplace Transforms of function Multiplied with t
  20. Laplace Transforms of function Multiplied with t
  21. Laplace Transform of Division with t
  22. Laplace Transform of Division with t
  23. Evaluation of Integrals
  24. Evaluation of Integrals
  25. Periodic function
  26. Periodic function
  27. Inverse Laplace Transforms
  28. Inverse Laplace Transforms
  29. Problem based on using partial fractions
  30. Problem based on using partial fractions
  31. First Shifting Theorem (Inverse Laplace transforms)
  32. First Shifting Theorem (Inverse Laplace transforms)
  33. Second shifting theorem ( Inverse Laplace transforms )
  34. Second shifting theorem ( Inverse Laplace transforms )
  35. Change Of Scale Property Of Inverse Laplace Transforms
  36. Change Of Scale Property Of Inverse Laplace Transforms
  37. Inverse Laplace transform of derivatives
  38. Inverse Laplace transform of derivatives
  39. Inverse Laplace Transform Of Integrals
  40. Inverse Laplace Transform Of Integrals
  41. Inverse Laplace Transform Of Multiplication By S
  42. Inverse Laplace Transform Of Multiplication By S
  43. Inverse Laplace Transform Of Division By S
  44. Inverse Laplace Transform Of Division By S
  45. Convolution Product and its problem
  46. Convolution Product and its problem
  47. Problems related to Convolution theorem
  48. Problems related to Convolution theorem
  49. Application of Laplace transform
  50. Application of Laplace transform
  51. Application of Laplace Transformations - 2
  52. Application of Laplace Transformations - 2
  53. Unit – 1 Long Question and Answers
  54. Unit – 1 Short Question and Answers
  55. Unit – 1 Multiple Choice Questions
  1. Improper Integrals
  2. Improper Integrals
  3. Beta function and its properties
  4. Beta function and is a properties
  5. Problems on Beta functions
  6. Problems on Beta functions
  7. 1st form of Beta functions
  8. 1st form of Beta functions
  9. 2nd Form of Beta function
  10. 2nd Form of Beta function
  11. 3rd,4th and 5th form of Beta Functions
  12. 3rd,4th and 5th form of Beta Functions
  13. Problem on form of beta function
  14. Problem on form of beta function
  15. Gamma functions and its forms
  16. Gamma functions and its forms
  17. Relation between $$\beta$$ and $$\Gamma $$ functions
  18. Relation between $$\beta$$ and $$\Gamma$$ functions
  19. Problems on Beta gamma function
  20. Problems on Beta gamma function
  21. Problems based on gamma functions
  22. Problems based on gamma functions
  23. Problems related to gamma functions 1
  24. Problems related to gamma functions 1
  25. Problems related to gamma functions 2
  26. Problems related to gamma functions 2
  27. Problems related to gamma functions 3
  28. Problems related to gamma functions 3
  29. Duplication property and problem based an Duplication property
  30. Duplication property and problem based an Duplication property
  31. Problems Related to Beta - Gamma functions - 1
  32. Problems Related to Beta - Gamma functions - 1
  33. Problems related to Beta - Gamma functions-2
  34. Problems related to Beta - Gamma functions - 2
  35. Problems related to Beta - Gamma functions - 3
  36. Problems related to Beta - Gamma functions - 3
  37. Application evaluation of integrals
  38. Application evaluation of integrals
  39. Unit – 2 Long Question and Answers
  40. Unit – 2 Short Question and Answers
  41. Unit – 2 Multiple Choice Questions
  1. Double And Triple Integrals
  2. Double And Triple Integrals
  3. Evaluation of Double Integrals in Cartesian Co Ordinates when limits are given
  4. Evaluation of Double Integrals in Cartesian co ordinates when limits are given
  5. Evaluation of Double Integrals in Cartesian Co Ordinates when Region is given
  6. Evaluation of Double Integrals in Cartesian co ordinates when region is given
  7. Evaluation of Double Integrals in Polar Co Ordinates when Limits are given 1
  8. Evaluation of Double Integrals in Polar co ordinates when limits are given 1
  9. Evaluation of Double Integrals in Polar co ordinates when limits are given 2
  10. Evaluation of Double Integrals in Polar co ordinates when limits are given 2
  11. Evaluation of Double Integrals in Polar Co Ordinates when Region is given 1
  12. Evaluation of Double Integrals in polar co ordinates when region is given 1
  13. Evaluation of Double Integrals in polar co ordinates when region is given 2
  14. Evaluation of Double Integrals in polar co ordinates when region is given 2
  15. Change Of  Variable And Its Problems 1
  16. Change Of Variable And Its Problems 1
  17. Change Of Variable And Its Problems 2
  18. Change Of Variable And Its Problems 2
  19. Change Of Order Of Integration
  20. Change Of Order Of Integration
  21. Change Of Order Of Integration And Its Problems - 1
  22. Change Of Order Of Integration And Its Problems - 1
  23. Change By Order Of Integration And Its Problem - 2
  24. Change By Order Of Integration And Its Problem - 2
  25. Triple Integral
  26. Triple Integral
  27. Triple Integrals And Its Problems 1
  28. Triple Integrals And Its Problems 1
  29. Triple Integral And Its Problems 2
  30. Triple Integral And Its Problems 2
  31. Finding Areas of
  32. Finding Areas of "R" Represented Through Cartesian Coordinates
  33. Finding Areas Of
  34. Finding Areas Of "R" Represented Through Polar Coordinates
  35. Volume Of Triple Integral
  36. Volume Of Triple Integral
  37. Volume As Double Integral
  38. Volume As Double Integral
  39. Unit – 3 Short Question and Answers
  40. Unit – 3 Long Question and Answers
  41. Unit – 3 Multiple Choice Questions