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NIMCET Mathematics

Calculus for NIMCET

9 topics from the official syllabus, how to approach them, and where to practise.

Topics in the official syllabus

  • Functions on real numbers
  • Limits of functions: left and right limits, limits at infinity
  • Continuous functions and applications of the intermediate value theorem
  • Differentiation and its applications: tangents, normals
  • Simple examples of maxima and minima
  • Applications of Rolle's theorem and the Mean Value Theorem
  • Integration by parts, by substitution and by partial fractions
  • Integration of odd, even and periodic functions
  • Definite integrals and area computations

Official information fromRevised syllabus of NIMCET (2026 onwards)(opens in a new tab)· checked 25 Oct 2026

How to approach it

SyllabuzAI recommendation
  • Know the standard limits and derivative results by heart.
  • For definite integrals, check for odd, even or periodic properties before integrating.
  • Area questions: sketch the curves and find the intersection points first.

Your next steps for this unit

  1. Step 1Learn the conceptsGo through the topic list below and your textbook or notes for each.
  2. Step 2Solve practice questionsQuestions for this unit are being added. Use mixed practice meanwhile. Mixed practice
  3. Step 3Take a timed chapter testBuild a short timed test for this unit to check speed as well as accuracy. Sign in to build
  4. Step 4Review your mistakesOpen the test result and note why each wrong answer went wrong. Your results
  5. Step 5ReviseCome back to this unit after a few days and retest it. Plan revision