Studying BSC 2nd Semester maths important questions is important 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 Calculations. In This Post We Have Compiled Some important questions For Students in First Year Of BSC Course.
These Questions Mentioned Here Are Extracted From Previous Year Question Papers And We Have Also Provided Theory Based Question as well as Practical Question
BSC 2nd Semester maths important questions
| Theory Based Question |
|---|
| Explain the Fundamental Theorem of Calculus and its consequences. |
| Discuss the Riemann integral and its properties. |
| Explain the concept of uniform convergence of a sequence of functions. |
| Define a Taylor series and discuss its convergence properties. |
| Discuss the concept of local extrema of a function and their characterization. |
| Explain the chain rule for differentiation of composite functions. |
| Define a partial derivative and discuss its geometric interpretation. |
| Discuss the concept of differentiability of a function at a point. |
| Explain the intermediate value theorem and its significance. |
| Define continuity of a function at a point and discuss its implications. |
| Explain the concept of a limit of a sequence in a metric space. |
| Define a metric space and discuss its properties. |
| Explain the Gram-Schmidt process for orthonormalizing a set of vectors. |
| Define an inner product space and discuss its properties. |
| Explain the characteristic polynomial of a square matrix and its role in finding eigenvalues. |
| Discuss the concept of eigenvalues and eigenvectors. |
| What is a basis of a vector space? How is it related to dimension? |
| Define a linear transformation and discuss its properties. |
| Explain the concept of linear independence and its significance in vector spaces. |
| Define a vector space and list its essential properties. |
| Maths Practical Question |
|---|
| Find the parametric equations for the line passing through the points (1, 2, 3) and (4, 5, 6). |
| Determine the radius and center of the circle given by the equation x^2 + y^2 – 4x – 6y + 9 = 0. |
| Solve the definite integral ∫(2x + 3) dx from 0 to 5. |
| Evaluate the limit lim(x→π/2) (tan(x) – 1)/(sin(x) – 1). |
| Find the curl of the vector field F = ⟨2xy, x^2, 3z^2⟩. |
| Integrate the function ∫(e^x + 1/x) dx. |
| Determine whether the function f(x) = x^3 – 3x^2 + 4x – 7 has any critical points. |
| Solve the differential equation d^2y/dx^2 + 4dy/dx + 4y = 0. |
| Find the area enclosed by the curves y = x^2 and y = 2x – 3. |
| Solve the system of linear equations using Cramer’s rule: 3x + 4y = 10 2x – y = 5 |
| Calculate the determinant of the matrix C = [[4, -3], [2, 5]]. |
| Evaluate the limit lim(x→2) (x^2 – 4)/(x – 2). |
| Determine whether the series ∑(1/n) from n = 1 to ∞ converges or diverges. |
| Find the indefinite integral of the function ∫(sin^2(x) + cos^2(x)) dx. |
| Solve the differential equation dy/dx = 2x. |
| Determine the eigenvalues and eigenvectors of the matrix B = [[3, 1], [1, 2]]. |
| Find the inverse of the matrix A = [[2, 1], [1, 3]]. |
| Integrate the function ∫(3x^2 + 4x + 2) dx. |
| Solve the system of linear equations using matrix method: 2x + y = 5 3x – 2y = 7 |
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