How to prepare for Numerical Methods for CUET-UG ?
Expected Weightage
The Common University Entrance Test (CUET) for Numerical Methods has evolved over the last three years (2022–2024). Below is a detailed analysis of the marking pattern and chapter-wise weightage based on past trends:
1. Overall Marking Pattern (2022–2024)
- Total Questions: 40–50 (MCQs)
- Marks per Question: +5 for correct, -1 for incorrect (in most sections)
- Duration: 45–60 minutes
- Syllabus Coverage: Based on NCERT Class 12 Applied Mathematics + additional topics.
2. Chapter-wise Weightage (Trend Analysis)
Here’s the approximate distribution of marks across key chapters:
| Chapter | 2022 | 2023 | 2024 | Trend |
|---|---|---|---|---|
| Numerical Solutions of Equations (Bisection, Newton-Raphson, etc.) | 15–20% | 20–25% | 20–25% | Increasing |
| Interpolation Finite Differences (Newton/Gauss, Lagrange, etc.) | 20–25% | 15–20% | 15–20% | Slight Decrease |
| Numerical Integration (Trapezoidal, Simpson’s Rule) | 15–20% | 15–20% | 15% | Stable |
| Numerical Differentiation | 10–15% | 10–15% | 10% | Decreasing |
| Linear Algebra (Matrix Operations, Gauss Elimination) | 10–15% | 15% | 15–20% | Increasing |
| Ordinary Differential Equations (Euler, RK Methods) | 10–15% | 10–15% | 10–15% | Stable |
| Errors Approximations | 5–10% | 5% | 5% | Decreasing |
3. Key Observations
- Increasing Focus on Root-Finding Linear Algebra:
- Newton-Raphson, Matrix methods (Gauss Elimination) saw higher weightage in 2023–24.
- Declining Weightage for Numerical Differentiation Errors:
- These topics are now limited to 1–2 questions.
- Stable Topics:
- Numerical Integration (Trapezoidal/Simpson’s Rule) and ODEs (Euler’s Method) remain consistent.
- Application-Based Questions:
- Recent papers include more problem-solving questions (e.g., real-life applications of interpolation).
4. Preparation Tips
- Priority Chapters:
- Numerical Solutions of Equations (Newton-Raphson, Bisection).
- Interpolation (Lagrange, Newton’s Divided Difference).
- Linear Algebra (Matrix Solutions).
- Practice:
- Solve previous years’ CUET papers (2022–24).
- Focus on error analysis and approximation concepts.
- Avoid Overemphasis:
- Numerical Differentiation and theoretical error derivations are less frequent now.
5. Expected Changes (2025)
- Possible Shift: More emphasis on computational methods (e.g., iterative solutions, programming-based numerical techniques).
- NCERT Alignment: Stronger linkage with Class 12 Applied Mathematics syllabus.
For detailed topic-wise questions , refer to official CUET practice papers or NCERT Exemplar problems.
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