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📊 Data-Driven • PYQ Analysed

Ace Numerical Methods
in Your Exam

Bisection & Newton-Raphson • Gauss Elimination • Lagrange Interpolation • Numerical Integration • RK4 Method

5
Units Covered
20+
Formulas
15
MCQs with Exp.
0
Solved PYQs
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🔥 Units 2 & 3 = 55% of marks.  Newton-Raphson iterations and Gauss Elimination appear in every single paper. Master these first!
📈 Data-Driven Analysis

PYQ Pareto Analysis

Based on 8 exam papers. Master the 20% of topics that yield 80% of marks.

Unit 1
Errors & Solutions of Equations
15%
~11 / 75 marks
🔥 HOT
Unit 2
Systems of Linear Equations
30%
~22 / 75 marks
🔥 HOT
Unit 3
Interpolation
25%
~19 / 75 marks
Unit 4
Numerical Integration
18%
~14 / 75 marks
Unit 5
Numerical ODEs
12%
~9 / 75 marks

🏆 Top 10 Topics — The Pareto List

Mastering only these topics lets you score 55–65 out of 75

🌡️ Topic Frequency Heatmap

📚 Complete Study Guide

Unit-by-Unit Study Guide

Clear concepts, step-by-step solved numericals, and complete Q&A for each unit.

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Formula Cheat Sheet

All exam-critical formulas in one place. Click any card to highlight it.

🎯 Exam Strategy

Guaranteed Marks Plan

How to approach each part of the exam for maximum marks.

Part A
20 MCQs × 1 = 20 marks
Target: 16–18 / 20
  • Order of convergence: Newton-Raphson = 2 (quadratic) 8/8
  • Bisection method always converges (bracketing method) 7/8
  • Gauss-Seidel vs Jacobi — convergence conditions 7/8
  • Newton's forward/backward difference table 6/8
  • Trapezoidal rule error order: O(h²), Simpson's 1/3: O(h⁴) 6/8
  • Lagrange interpolation — no equal spacing required
  • RK4 — fourth-order method, 4 evaluations per step
  • Euler's method — first-order, simplest ODE solver
  • Simpson's 3/8 rule needs intervals divisible by 3
Part B
5 Questions × 8 = 40 marks
Target: 32–40 / 40
QUnitExpected Topic
Q1U1Newton-Raphson iteration (2–3 steps) 🔥
Q2U2Gauss Elimination OR LU Decomposition 🔥
Q3U3Lagrange / Newton interpolation 🔥
Q4U4Simpson's or Trapezoidal rule numerical
Q5U5RK4 or Euler's method (1–2 steps)
Part C
1 Question × 15 = 15 marks
Target: 12–15 / 15

Choose 1 of 2 questions. Typical options:

Q.A
Full Gauss-Jordan + matrix inversion OR Newton's interpolation + divided difference table
Q.B
RK4 full step derivation + computation OR Simpson's composite rule + error estimate
💡 Best pick: Gauss-Jordan / Gauss Elimination — once you know the row operations, it's mechanical and always guarantees full marks. Practice 3 problems and you're set.

🔮 Predicted Next Exam Topics

Based on recent patterns

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MCQ Drill & Active Recall

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✅ Correct: 0
❌ Wrong: 0
📊 Total: 0

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