Engineering

Support for Future Engineers of India

Engineering Mathematics I

University

Osmania University

Department

Bio-Medical Engineering

Semester

1 Year I Semester

- Sequences and different types of sequence
- Sequences and different types of sequence
- Infinite Series
- Infinite Series
- Problems related to Divergence
- Problems related to Divergence
- Series of non negative terms
- Series of non negative terms
- Raabe's Test
- Raabe's Test
- Problems related o Raabe's Test
- Problems related o Raabe's Test
- Logarithamic test and its problems
- Logarithamic test and its problems
- Cauchy’s integral test
- Cauchy’s integral test
- Cauchy’s nth root test
- Cauchy’s nth root test
- D.Alembert's ratio test
- D.Alembert's ratio test
- Problems related to D.Alemberts rate test
- Problems related to D.Alemberts rate test
- Alternating Series and its problems
- Alternating Series and its problems
- Absolutely convergent and conditionally convergent
- Absolutely convergent and conditionally convergent
- Problems related to absolute convergence and conditional convergence
- Problems related to absolute convergence and conditional convergence
- Problem on convergence
- Problem on convergence
- Problem related to converges
- Problem related to converges
- Problem related to converges 3
- Problem related to converges 3
- Long Answer Questions
- Short Answer Questions
- Multiple Choice Questions

- Curvatures and E volutes and Envelopes
- Curvatures ,Evolutes and Envelopes
- Radius of Curvatures
- Radius of Curvatures
- Problems on the Radius of curvatures
- Problems on the Radius of curvatures
- Problems on Radius of Curvatures 1
- Problems on Radius of Curvatures 1
- Problem on Radius of Curvatures 2
- Problem on Radius of Curvatures 2
- Radius of curvature at the origin
- Radius of curvature at the origin
- Center of the curvature
- Center of the curvature
- Evolutes and its problems
- Evolutes and its problems
- Problems related to Evolutes
- Problems related to Evolutes
- Problem related to Evolute
- Problem related to Evolute
- Envelope and its related problems
- Envelope and its related problems
- Problems Related to Envelope
- Problems Related to Envelope
- Problems related to envelope 1
- Problems related to envelope 1
- Problems related to curves
- Problems related to curves
- Problems related to curves 1
- Problems related to curves 1
- Problem related to curves 2
- Problem related to curves 2
- Problem related to traces
- Problem related to traces
- Mean value theorem and its problems
- Mean value theorem and its problems
- Rolles Theorem and its Releted problems
- Rolles Theorem and its Releted problems
- Introduction to curve sketching
- Introduction to curve sketching
- Tracing or sketching of curves in Cartesian coordinate system
- Tracing or sketching of curves in Cartesian coordinate system
- Lagrange's Mean Value theorem and its related problems
- Lagrange's Mean Value theorem and its related problems
- Lagrange's Mean Value theorem and its related problems 1
- Lagrange's Mean Value theorem and its related problems 1
- Lagrange’s Mean Value theorem and its related problems 2
- Lagrange’s Mean Value theorem and its related problems 2
- Lagrange’s Mean Value theorem and its related problems 3
- Lagrange’s Mean Value theorem and its related problems 3
- Cauchy’s Mean Value theorem and its related problems
- Cauchy’s Mean Value theorem and its related problems
- Cauchy’s Mean Value theorem and its related problems 1
- Cauchy’s Mean Value theorem and its related problems 1
- Taylor's theorem and its related problems
- Taylor's theorem and its related problems
- Taylor's theorem and its related problems 1
- Taylor's theorem and its related problems 1
- Long Answer Questions
- Short Answer Questions
- Multiple Choice Questions

- Limits of function and its derivatives
- Limits of function and its derivatives
- Continuity and its problems
- Continuity and its problems
- Partial derivatives and its problems
- Partial derivatives and its problems
- Total derivative and its problems
- Total derivative and its problems
- Chain rule of differentiation
- Chain rule of differentiation
- Homogeneous and its problems
- Homogeneous and its problems
- Homogeneous and its problems -2
- Homogeneous and its problems -2
- Jacobian and its problems
- Jacobian and its problems
- Jacobin and its problems - 2
- Jacobin and its problems - 2
- Functional Dependence and its Problem
- Functional Dependence and its Problem
- Taylor Series for Function of Two Variable and its Problems
- Taylor Series for Function of Two Variable and its Problems
- Taylor Series for a Function of Two Variables and its Problems - 2
- Taylor Series for a Function of Two Variables and its Problems - 2
- Maximum and Minimum for Function of Two Variables
- Maximum and Minimum for Function of Two Variables
- Problems based on Maximum and Minimum - 1
- Problems based on Maximum and Minimum - 1
- Problems based on Maximum and Minimum - 2
- Problems based on Maximum and Minimum - 2
- Lagrange Method of Multipliers and Its Problems - 1
- Lagrange Method of Multipliers and Its Problems - 1
- Unit-3 long answer question
- Unit-3 Short answer questions
- 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 1
- Evaluation of Double Integrals in Cartesian Co Ordinates when Region is 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 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 'R' Represented Through Cartesian Coordinates
- Finding Areas of 'R' Represented Through Cartesian Coordinates
- Finding Areas Of 'R' Represented Through Polar Coordinates
- Finding Areas Of 'R' Represented Through Polar Coordinates
- Volume As Double Integral
- Volume As Double Integral
- Volume Of Triple Integral
- Volume Of Triple Integral
- Unit – 4 Long Question and Answers
- Unit – 4 Short Question and Answers
- 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
- 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