List 1: NIMCET (Pure Mathematics Focus)

  1. Set Theory (Sets, Relations & Functions)

  2. Trigonometric Functions (Identities, Equations, Solutions of Triangles)

  3. Inverse Trigonometric Functions

  4. Quadratic Equations

  5. Sequence and Series (AP, GP, HP)

  6. Permutations and Combinations

  7. Binomial Theorem

  8. Matrices and Determinants

  9. Coordinate Geometry (Straight Lines, Circles, Parabola, Ellipse, Hyperbola)

  10. Calculus - Differential (Limits, Continuity, Differentiability, Tangents & Normals, Maxima & Minima)

  11. Calculus - Integral (Indefinite & Definite Integrals, Area under Curves)

  12. Vectors (Dot & Cross Products)

  13. Statistics (Mean, Median, Mode, Dispersion)

  14. Probability

Note: NIMCET excludes “Complex Numbers” (usually) and “Differential Equations” from the core syllabus, while heavily prioritizing Vectors and Calculus.


List 2: MAH MCA CET (Mixed Math & Aptitude)

  1. Set Theory, Relations and Functions

  2. Trigonometric Functions

  3. Inverse Trigonometric Functions

  4. Quadratic Equations

  5. Sequence and Series (AP, GP, HP)

  6. Permutations and Combinations

  7. Binomial Theorem

  8. Coordinate Geometry (Straight Lines, Circles, Conic Sections)

  9. Differential Equations (First order & Linear)

  10. Statistics (Standard Deviation, Variance, plus advanced topics: Correlation, Regression, Curve Fitting)

  11. Probability (Binomial, Poisson, Normal Distributions)

  12. Mensuration (Areas & Volumes: Sphere, Cone, Cylinder) [Class 10 Level]

  13. Arithmetic (Ratio, Proportions, Percentage, Time & Work) [Class 10 Level]

Note: MAH MCA CET excludes “Vectors” and deep “Integral Calculus” but explicitly includes Differential Equations, Mensuration, and Arithmetic (Quantitative Aptitude) within the Maths section.