Engineering
Support for Future Engineers of India
Mathematics-II
University
Kakatiya University
Department
Information Technology
Semester
1 Year II Semester
- Types of Real Matrices and Complex Matrices
- Types of Real Matrices and Complex Matrices
- Rank of a Matrix - Echelon form
- Rank of a Matrix - Echelon form
- Problems on Echelon Form
- Problems on Echelon Form
- Rank of a Matrix - Normal form
- Rank of a Matrix - Normal form
- System of Homogeneous linear equations
- Consistency and solution of homogeneous linear systems
- Solving system of linear equations
- Consistency and solution of non homogeneous linear equations
- Indirect method or Method based on Ranks
- Indirect method and problems based on indirect method
- Problems based on consistency method
- Problems based on consistency method
- Problems based on consistency method
- Problems based on consistency method
- Continuation problem on consistency method
- Continuation problem on consistency method
- Gauss Elimination method
- Gauss Elimination method
- Gauus Jordan method
- Gauus Jordan method
- LU Decomposition method
- LU Decomposition method
- Methods of reduce Q.F to canonical form
- Methods of reduce Q.F to canonical form
- Cayley Hamilton's Theorem
- Cayley Hamilton's Theorem
- Eigen values, Eigen vectors
- Eigen values, Eigen vectors
- Problems on Eigen values and Eigen vectors
- Problems on Eigen values and Eigen vectors
- Problems on Eigen values Eigen and vectors 1
- Problems on Eigen values Eigen and vectors 1
- Unit-1 Short answer questions
- Unit-1 long answer question
- Unit-1 Multiple choice question and answer
- Improper Integrals
- Improper Integrals
- Beta function and its properties
- Beta function and its 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
- Double Integral
- Double Integral
- Change Of Order Of Integration
- Change Of Order Of Integration
- Change Of Order Of Integration And Its Problems
- Change Of Order Of Integration And Its Problems
- 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
- Triple Integrals
- Triple Integrals
- Triple Integrals And Its Problems
- Triple Integrals And Its Problems
- Unit – 2 Short Question and Answers
- Unit – 2 Long Question and Answers
- Unit – 2 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 – 3 Long Question and Answers
- Unit – 3 Short Question and Answers
- Unit – 3 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 – 4 Long Question and Answers
- Unit-4 Short answers questions
- Unit - 4 Multiple choice questions
Text Books:
- Advanced Engineering Mathematics by R K Jain & S R K Iyengar, Narosa Publishers
- Engineering Mathematics by Srimanthapal and Subodh C. Bhunia, Oxford Publishers
References:
- Advanced Engineering Mathematics by Peter V. O. Neil, Cengage Learning Publishers
- Advanced Engineering Mathematics by Lawrence Turyn, CRC Press
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Course Features
| Lectures | 80 |
| Quizzes | 73 |
| Duration | 50 Hours |
| Skill Level | All Levels |
| Language | English |
| Certificate | No |
| Assesments | Yes |