LU B.Sc Sem 5 Mathematics Numerical Analysis Important Questions 2026 | PYQ Pattern
LU B.Sc 5th Semester Mathematics (Numerical Analysis) Important Questions 2026 – Lucknow University (LU) aur affiliated colleges ke B.Sc NEP Semester V (PCM group) students ke liye Mathematics – Numerical Analysis (Paper-I) ke sabse important questions, bilkul previous year question paper (PYQ) pattern me. Saare questions neeche page par hi hain – section-wise.
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Paper Details – B.Sc Sem 5 Mathematics (LU NEP 2026)
| University | University of Lucknow (LU) + affiliated colleges |
| Course | B.Sc. V Semester (NEP) – PCM |
| Paper | Mathematics – Numerical Analysis (Paper-I) |
| Time / Marks | 2 Hours / 75 Marks |
| Pattern | Kul 4 questions: Section A se 1 (15 marks) + Section B se 3 (20 marks each) |
Section A – Important Questions (15 Marks)
Note: Section A se koi ek question attempt karna hai.
Q1. (a) Using the Newton-Raphson method, find (21)^(1/3) correct to 3 decimal places.
(b) Using the secant method, find (22)^(1/3) correct to 3 decimal places. [15 Marks]
Q2. (a) Show that 2Δ/δ = δ + √(4 + δ²).
(b) Given f(20) = 14, f(24) = 32, f(28) = 35, f(32) = 40, f(36) = 51, use Newton’s forward interpolation formula to find f(21). [15 Marks]
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Section B – Important Questions (20 Marks)
Note: Section B se koi teen questions attempt karne hain.
Q3. Given y₃₀ = 3678, y₃₅ = 2995, y₄₀ = 2400, y₄₅ = 1876, y₅₀ = 1416, use Gauss’s backward interpolation formula to find y₄₂. State Gauss’s forward formula. [20 Marks]
Q4. (a) Using Simpson’s 3/8 rule with 6 intervals, evaluate ∫₀¹ dx/(1 + x²) and compare with the exact value.
(b) Solve by LU decomposition: 4x + y + 7z = 8; 2x + 2y + 3z = 2; x − 2y + 5z = 9. [20 Marks]
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Q5. (a) Using the power method with X₀ = [1, 0, 0]ᵀ, find the dominant eigenvalue of [[2, 4, 6], [3, 9, 1], [5, 7, 8]].
(b) Using Jacobi’s method, find the eigenvalues of [[5, 2, 0], [2, 5, 0], [0, 0, 1]]. [20 Marks]
Q6. (a) For dy/dx = xy + y², y(0) = 1, h = 0.2, use the modified Euler method to find y(1).
(b) For dy/dx = (y − x)/(y + x), y(0) = 2, h = 0.15, use the fourth-order Runge-Kutta method to find y(0.15). [20 Marks]
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Q7. (a) Using Milne’s predictor-corrector method, find y(0.4) for dy/dx = ½(1 + x²)y², with y(0) = 1, y(0.1) = 1.06, y(0.2) = 1.12, y(0.3) = 1.21.
(b) Find the third Picard approximation for dy/dx = 1 + y², y(0) = 0. [20 Marks]
Q8. Fit a second degree least squares polynomial to the data x: −2, −1, 0, 1, 2; f(x): 12, 9, 4, 7, 6. [20 Marks]
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Q9. (a) Find the uniform linear polynomial approximation to f(x) = |x| on [−1, 1].
(b) Find the least squares linear approximation to f(x) = x^(3/2) on [0, 1]. [20 Marks]
Q10. (a) Form the difference equation corresponding to yₓ = (c₁ + c₂x)7ˣ.
(b) Solve: Δ²yₓ − 3Δyₓ + 2yₓ = 2·5ˣ. [20 Marks]
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Exam Tips – Mathematics (Numerical Analysis)
- Section A ke long answers ke short notes bana lo – 15 marks pakke karo.
- Section B ke derivations / numericals / diagrams ki practice karo.
- Upar ke questions ko 2 ghante me PYQ ki tarah solve karke dekho.
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FAQs
LU B.Sc 5th Semester Mathematics (Numerical Analysis) exam me kitne questions attempt karne hote hain?
Ye 75 marks ka 2 ghante ka paper hai. Kul 4 questions attempt karne hote hain – Section A se 1 question (15 marks) aur Section B se 3 questions (20-20 marks).
Kya ye LU B.Sc Sem 5 Mathematics ka official previous year question paper (PYQ) hai?
Nahi. Ye LUUPDATE team ka banaya 2026 exam ke liye most important questions ka set hai, jo Lucknow University ke previous year papers ke pattern aur NEP syllabus par based hai.
B.Sc Sem 5 Mathematics Numerical Analysis ke answers / solutions kahan milenge?
LUUPDATE ke Most Important Questions course (BA, B.Sc, B.Com Sem I, III & V) me har question ka pura solution milta hai – sirf ₹99 me, LUUPDATE App par.
Ye paper kis group ke liye hai – PCM ya ZBC?
Mathematics (Numerical Analysis) LU B.Sc NEP Semester V ke PCM group ke students ke liye hai.
Disclaimer: Ye LUUPDATE team dwara taiyar kiye gaye expected important questions hain (previous year pattern par), Lucknow University ka official question paper nahi. Exam pattern aur syllabus ke liye university ka official notice zaroor dekhein.
