Engineering

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Mathematics-II (R-13)

University

JNTU Hyderabad

Department

Civil and Environmental Engineering

Semester

1 Year I Semester

- Introduction to Laplace Transforms
- Introduction to Laplace Transforms
- Laplace Transforms of Standard /Basic Functions
- Laplace Transforms of Standard / Basic Functions
- First Shifting Theorem (or) First Translation Theorem
- First Shifting Theorem (or) First Translation Theorem
- Second Shifting Theorem (or) Second Translation Theorem
- Second Shifting Theorem (or) Second Translation Theorem
- Unit Step Function and Problem Based on 2nd Shifting Theorem
- Unit Step Function and Problem Based on 2nd Shifting Theorem
- Change of Scale of Property
- Change of Scale of Property
- Laplace transform of some special functions ( Dirac Function )
- Laplace transform of some special functions (Dirac Function)
- Laplace Transforms of Derivatives
- Laplace Transforms of Derivatives
- Laplace Transforms of Integrals
- Laplace Transforms of Integrals
- Laplace Transforms of function Multiplied with t
- Laplace Transforms of function Multiplied with t
- Laplace Transform of Division with t
- Laplace Transform of Division with t
- Evaluation of Integrals
- Evaluation of Integrals
- Periodic function
- Periodic function
- Inverse Laplace Transforms
- Inverse Laplace Transforms
- Problem based on using partial fractions
- Problem based on using partial fractions
- First Shifting Theorem (Inverse Laplace transforms)
- First Shifting Theorem (Inverse Laplace transforms)
- Second shifting theorem ( Inverse Laplace transforms )
- Second shifting theorem ( Inverse Laplace transforms )
- Change Of Scale Property Of Inverse Laplace Transforms
- Change Of Scale Property Of Inverse Laplace Transforms
- Inverse Laplace transform of derivatives
- Inverse Laplace transform of derivatives
- Inverse Laplace Transform Of Integrals
- Inverse Laplace Transform Of Integrals
- Inverse Laplace Transform Of Multiplication By S
- Inverse Laplace Transform Of Multiplication By S
- Inverse Laplace Transform Of Division By S
- Inverse Laplace Transform Of Division By S
- Convolution Product and its problem
- Convolution Product and its problem
- Problems related to Convolution theorem
- Problems related to Convolution theorem
- Application of Laplace transform
- Application of Laplace transform
- Application of Laplace Transformations - 2
- Application of Laplace Transformations - 2
- Unit – 1 Long Question and Answers
- Unit – 1 Short Question and Answers
- Unit – 1 Multiple Choice Questions

- Improper Integrals
- Improper Integrals
- Beta function and its properties
- Beta function and is a properties
- Problems on Beta functions
- Problems on Beta functions
- 1st form of Beta functions
- 1st form of Beta functions
- 2nd Form of Beta function
- 2nd Form of Beta function
- 3rd,4th and 5th form of Beta Functions
- 3rd,4th and 5th form of Beta Functions
- Problem on form of beta function
- Problem on form of beta function
- Gamma functions and its forms
- Gamma functions and its forms
- Relation between $$\beta$$ and $$\Gamma $$ functions
- Relation between $$\beta$$ and $$\Gamma$$ functions
- Problems on Beta gamma function
- Problems on Beta gamma function
- Problems based on gamma functions
- Problems based on gamma functions
- Problems related to gamma functions 1
- Problems related to gamma functions 1
- Problems related to gamma functions 2
- Problems related to gamma functions 2
- Problems related to gamma functions 3
- Problems related to gamma functions 3
- Duplication property and problem based an Duplication property
- Duplication property and problem based an Duplication property
- Problems Related to Beta - Gamma functions - 1
- Problems Related to Beta - Gamma functions - 1
- Problems related to Beta - Gamma functions-2
- Problems related to Beta - Gamma functions - 2
- Problems related to Beta - Gamma functions - 3
- Problems related to Beta - Gamma functions - 3
- Application evaluation of integrals
- Application evaluation of integrals
- Unit – 2 Long Question and Answers
- Unit – 2 Short Question and Answers
- Unit – 2 Multiple Choice Questions

- Double And Triple Integrals
- Double And Triple Integrals
- Evaluation of Double Integrals in Cartesian Co Ordinates when limits are given
- Evaluation of Double Integrals in Cartesian co ordinates when limits are given
- Evaluation of Double Integrals in Cartesian Co Ordinates when Region is given
- Evaluation of Double Integrals in Cartesian co ordinates when region is given
- Evaluation of Double Integrals in Polar Co Ordinates when Limits are given 1
- Evaluation of Double Integrals in Polar co ordinates when limits are given 1
- Evaluation of Double Integrals in Polar co ordinates when limits are given 2
- Evaluation of Double Integrals in Polar co ordinates when limits are given 2
- Evaluation of Double Integrals in Polar Co Ordinates when Region is given 1
- Evaluation of Double Integrals in polar co ordinates when region is given 1
- Evaluation of Double Integrals in polar co ordinates when region is given 2
- Evaluation of Double Integrals in polar co ordinates when region is given 2
- Change Of Variable And Its Problems 1
- Change Of Variable And Its Problems 1
- Change Of Variable And Its Problems 2
- Change Of Variable And Its Problems 2
- Change Of Order Of Integration
- Change Of Order Of Integration
- Change Of Order Of Integration And Its Problems - 1
- Change Of Order Of Integration And Its Problems - 1
- Change By Order Of Integration And Its Problem - 2
- Change By Order Of Integration And Its Problem - 2
- Triple Integral
- Triple Integral
- Triple Integrals And Its Problems 1
- Triple Integrals And Its Problems 1
- Triple Integral And Its Problems 2
- Triple Integral And Its Problems 2
- Finding Areas of
- Finding Areas of "R" Represented Through Cartesian Coordinates
- Finding Areas Of
- Finding Areas Of "R" Represented Through Polar Coordinates
- Volume Of Triple Integral
- Volume Of Triple Integral
- Volume As Double Integral
- Volume As Double Integral
- Unit – 3 Short Question and Answers
- Unit – 3 Long Question and Answers
- Unit – 3 Multiple Choice Questions

- Introduction to Vector Differentiation
- Introduction to Vector Differentiation
- Scalar And Vector Point Functions
- Scalar And Vector Point Functions
- Directional Derivatives And Its Problems 1
- Directional Derivatives And Its Problems 1
- Directional Derivatives And Its Problem 2
- Directional Derivatives And Its Problem 2
- Angle Between The Surfaces And Normal And Its Problem
- Angle Between The Surfaces And Normal And Its Problem
- Divergence of a Vector and its Problems
- Divergence of a vector and its Problems
- Problems on Gradient
- Problems on Gradient
- Curl of a vector
- Curl of a vector
- Curl of a vector and its problems
- Curl of a vector and its problems
- Laplacian Operators
- Laplacian Operators
- Laplacian Operator and its Problem 1
- Laplacian Operator and its Problem 1
- Laplacian operator and its problem 2
- Laplacian operator and its problem 2
- Laplacian operator and its problem 3
- Laplacian operator and its problem 3
- Laplacian operator and its problem 4
- Laplacian operator and its problem 4
- Unit – 4 Long Question and Answers
- Unit – 4 Short Question and Answers
- Unit – 4 Multiple Choice Questions

- Introduction to vector integration and integral theorem
- Introduction to vector integration and integral theorem
- Problems on line integral 1
- Problems on line integral 1
- Problems on line integral 2
- Problems on line integral 2
- Problems on line Integral 3
- Problems on line Integral 3
- Problems on line Integral 4
- Problems on line Integral 4
- Surface Integral
- Surface Integral
- Problems On Surface Integrals - 1
- Problems On Surface Integrals - 1
- Problems On Surface Integrals - 2
- Problems On Surface Integrals - 2
- Green's Theorem and its problems - 1
- Green's Theorem and its problems - 1
- Problems based on Gauss Divergence Theorem 2
- Problems based on Gauss Divergence Theorem 2
- Stokes Theorem
- Stokes Theorem
- Unit – 5 Long Question and Answers
- Unit-5 Short answers questions
- Unit - 5 Multiple choice questions