Studying **BSC 2nd Sem Maths Honours 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 important BSC 2nd Sem Maths Honours Important Questions.

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

## BSC 2nd Sem Maths Honours Important Questions

Course | BSC (Bachelor of Science) |

Subject | Maths |

Content | Important Questions |

Semester | 2nd |

Provide by | Hindijankaripur |

Official Site | Hindijankaripur.com |

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

**Theory Question **

Define the concept of a set and give examples of finite and infinite sets.

Explain the principle of Mathematical Induction.

What is the Binomial Theorem? Provide an example.

Explain the properties of Real Numbers.

What are the different types of functions? Provide examples.

Describe what is meant by the limit of a function.

Explain the concept of continuity and differentiability of a function.

What are the Mean Value Theorems? Explain with proofs.

What are Integrals? Explain Definite and Indefinite Integrals.

Define the concept of a Matrix. What are the various types of Matrices?

Explain Eigenvalues and Eigenvectors.

What is the Rank of a Matrix? Describe its properties.

Describe the concept of Vector Spaces and Subspaces.

Explain the Inner Product, Length and Orthogonality of Vectors.

Define the concept of Linear Transformation.

What is a Differential Equation? Describe its order and degree.

Describe the method to solve a first-order linear differential equation.

Explain the concept of a Probability Space.

What is the Central Limit Theorem? Explain its significance.

Explain the concept of Hypothesis Testing in statistics.

What is the concept of a Partial Differential Equation? Give examples.

Define and explain the concept of Laplace Transformation.

What is a Fourier Series? Describe with examples.

Explain the concept of Abstract Algebra.

What are Permutations and Combinations? Provide examples.

Explain the concept and properties of a Group in Algebra.

What is a Ring, and how does it differ from a Field in Algebra?

Define and explain the concept of a Topology.

What is the concept of a Metric Space? Give examples.

Define and explain the concept of a Complex Variable.

What are the different methods to solve a Quadratic Equation?

Explain the concept of Conic Sections.

What is the difference between a Scalar and a Vector?

What is a Linear Programming Problem? Explain the graphical method of solving it.

Describe the conditions for a function to be Riemann integrable.

Define the concept of an Infinite Series. What are the conditions for its convergence?

Explain the concept of a Power Series.

What is the Residue Theorem in Complex Analysis?

Define and explain the concept of a Manifold in Topology.

What is the difference between Descriptive and Inferential Statistics?

**Practical Questions**

Solve the differential equation dy/dx + y = e^x.

Find the integral ∫x^2 e^x dx.

Evaluate the limit: lim (x->0) (sinx/x).

Using the method of completing the square, solve the quadratic equation 3x^2 – 4x – 7 = 0.

Determine the eigenvalues and eigenvectors of the matrix [[3, 1], [2, 4]].

Find the area between the curves y = x^2 and y = x.

Solve the system of equations 2x + 3y = 8 and 3x -2y = 5 using matrix methods.

Determine whether the following series is convergent or divergent: Σ (from n=1 to infinity) 1/n^2.

Use the binomial theorem to expand (x + y)^4.

Find the derivative of the function f(x) = ln(x^2+1).

Find the limit: lim (x->∞) (ln(x) / x).

Determine the rank of the matrix [[1, 2, 3], [2, 4, 6], [3, 6, 9]].

Solve the linear differential equation: d^2y/dx^2 – 4dy/dx + 4y = e^2x.

Find the maximum and minimum values of the function f(x) = x^3 – 6x^2 + 9x + 15.

Use the method of integration by parts to find the integral ∫xe^x dx.

Given that the roots of the equation ax^2 + bx + c = 0 are p and q, find the equation whose roots are 1/p and 1/q.

Solve the system of equations 3x – 2y + z = 1, 2x + y – z = 2 and x + y + z = 3 using the method of substitution.

Calculate the dot product of two vectors A = [1, 3, -5] and B = [4, -2, -1].

Determine whether the function f(x) = x^3 – 3x + 2 is continuous at x = 0.

Evaluate the sum of the infinite geometric series 1 + 1/2 + 1/4 + 1/8 + …

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