∫ Formula-Driven • 8 PYQ Papers Analysed

Master Calculus
& Linear Algebra

21MAB101T · SRM IST · Semester 1
Calculus & Linear Algebra — Complete Smart Study Hub

5
Units Covered
8
PYQs Analysed
60+
Key Formulas
18
Must-Know Topics
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📚 Notes & Presentations

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🔥 Units 1 & 3 = 50% of marks.  Matrices (Eigenvalues, Cayley-Hamilton, Rank) and Multivariable Calculus (Jacobian, Maxima/Minima, Taylor Series) appear in 7 out of 8 papers. Master these first! Always show intermediate steps — examiners award marks for partial working.
📈 Data-Driven Analysis

PYQ Pareto Analysis

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

🔥 HOT
Unit 1
Matrices & Linear Algebra
28%
21 / 75 marks
Unit 2
Sequences & Series
18%
14 / 75 marks
🔥 HOT
Unit 3
Multivariable Calculus
24%
18 / 75 marks
Unit 4
Multiple Integrals
17%
13 / 75 marks
Unit 5
Vector Calculus
13%
9 / 75 marks

🏆 Top 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 worked examples, solved problems, and common exam mistakes for every unit.

⚡ Quick Reference

Formula & Theorem Cheat Sheet

Key formulas, theorems, and identities. Click any card to highlight it.

🎯 Exam Strategy

Guaranteed Marks Plan

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

Part A
25 MCQs × 1 = 25 marks
Target: 20–23 / 25
  • Eigenvalue calculation for 2×2 and 3×3 matrices 8/8
  • Rank of matrix using row reduction (echelon form) 8/8
  • Taylor / Maclaurin series expansion of standard functions 7/8
  • Jacobian of transformations (x,y to r,theta) 7/8
  • Partial derivatives: find df/dx and df/dy 7/8
  • Convergence/Divergence using Ratio Test or Comparison Test 6/8
  • Double integral: change limits and evaluate 6/8
  • Gradient, Divergence, Curl of a vector field 6/8
  • Cayley-Hamilton Theorem verification for 2×2 matrix 5/8
  • Green's / Stokes' / Gauss's Theorem (identify which to apply) 5/8
Part B
5 Questions × 8 = 40 marks
Target: 32–40 / 40
QUnitExpected Topic
21U1Find Eigenvalues + Eigenvectors OR Cayley-Hamilton verification 🔥
22U2Test convergence using Ratio/Root test OR Taylor Series expansion
23U3Find Jacobian transformation OR Maxima/Minima with Lagrange Multipliers 🔥
24U4Evaluate Double/Triple Integral with change of order
25U5Apply Green's / Stokes' / Divergence Theorem
Part C
1 Question × 10 = 10 marks
Target: 8–10 / 10

Choose 1 of 2 questions. Typical options:

Q.26
Cayley-Hamilton Theorem — verify and use it to find A³ or A² 🔥 OR System of linear equations — consistency check using Augmented Matrix
Q.27
Multivariable Max/Min — full second-derivative test with Lagrange Multipliers OR Double/Triple integral — convert to Polar/Cylindrical coordinates and evaluate
💡 CLA Exam Secret: Always write the FORMULA FIRST, then substitute values. Examiners award marks for identifying the correct method even if arithmetic is slightly off. Show every row operation step-by-step in matrix problems.

🔮 Predicted Next Exam Topics

Based on recent patterns

✏️ Practice Zone

Solved Questions & MCQ Drill

The most-repeated solved questions from 8 years of PYQs, plus MCQ flashcards.

🃏 MCQ Flashcards — Active Recall Drill

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✅ Correct: 0
❌ Wrong: 0
📊 Total: 0

✅ Final Revision Checklist

📜 Past Year Papers

Solved PYQs

Select a paper to view its full HTML solution.

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