Studying **OU Degree 4th Sem Maths Important Questions** is Good for your Exam Preparation. They Can Help You To Cover Maximum Syllabus In Minimum Time.

Maths Is A Difficult Subject if You Lack Knowledge About Its Understanding. In This Post We Have Compiled Some OU Degree 4th Sem Maths Important Questions.

These Important Question Mentioned Here Are Extracted From Previous Year Question Papers And They Help You Learn Important Knowledge about Your Syllabus…

## OU Degree 4th Sem Maths Important Questions

Course | BSC (Bachelor of Science) |

Subject | Maths |

Content | Important Questions |

Semester | 4th Sem |

Provide by | Hindijankaripur |

Official Site | Hindijankaripur.com |

Telegram | https://t.me/studentcafeindia |

Define a vector space. Give an example.

Explain the concept of a basis and dimension of a vector space.

What is a linear transformation? Give an example.

State and prove the Rank-Nullity Theorem.

Explain Eigenvalues and Eigenvectors of a matrix with an example.

Describe the method to diagonalize a matrix.

What are the properties of the determinant of a matrix?

Prove that the set of all polynomials of degree less than or equal to nnn forms a vector space.

Solve the system of linear equations using the Gauss-Jordan elimination method.

Define the characteristic polynomial of a matrix and explain its significance.

State and prove the Bolzano-Weierstrass Theorem.

Define uniform convergence of a sequence of functions.

Explain the Cauchy criterion for convergence of a sequence.

State and prove the Mean Value Theorem.

Define Riemann integrability and provide the conditions for a function to be Riemann integrable.

Explain the concept of pointwise and uniform convergence of sequences of functions.

State and prove the Fundamental Theorem of Calculus.

Discuss the properties of continuous functions on a closed interval.

Define improper integrals and give an example of how to evaluate one.

Prove that every convergent sequence is bounded.

Solve the differential equation dydx+y=ex\frac{dy}{dx} + y = e^xdxdy+y=ex.

Define a homogeneous differential equation and give an example.

Explain the method of separation of variables with an example.

Solve the second-order differential equation y′′+y=0y” + y = 0y′′+y=0.

Describe the method of undetermined coefficients for solving non-homogeneous linear differential equations.

Define and provide an example of a partial differential equation.

Solve the partial differential equation ∂u∂x+∂u∂y=0\frac{\partial u}{\partial x} + \frac{\partial u}{\partial y} = 0∂x∂u+∂y∂u=0.

Discuss the existence and uniqueness theorem for first-order differential equations.

Explain the concept of a particular solution and a general solution of a differential equation.

Solve the Laplace equation Δu=0\Delta u = 0Δu=0 for a given boundary condition.

**Also Read:** BSC 3rd year maths important questions 2024

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