What UPSC asks most

Optional Papers I and II (250 marks each): proofs, standard results and long computations across 13 syllabus areas.

Traps to avoid

• Skipping hypotheses when quoting a theorem.
• Arithmetic slips in long calculations; verify each answer by substitution.

How to study it here

1. Finish one chapter's theory, then solve its past questions with full steps under time.
2. Keep a formula and theorem sheet per chapter and revise it weekly.

Mains: Optional: write every step, state the results you use and box the final answer.