List 1: NIMCET (Pure Mathematics Focus)
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Set Theory (Sets, Relations & Functions)
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Trigonometric Functions (Identities, Equations, Solutions of Triangles)
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Inverse Trigonometric Functions
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Quadratic Equations
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Sequence and Series (AP, GP, HP)
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Permutations and Combinations
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Binomial Theorem
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Matrices and Determinants
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Coordinate Geometry (Straight Lines, Circles, Parabola, Ellipse, Hyperbola)
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Calculus - Differential (Limits, Continuity, Differentiability, Tangents & Normals, Maxima & Minima)
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Calculus - Integral (Indefinite & Definite Integrals, Area under Curves)
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Vectors (Dot & Cross Products)
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Statistics (Mean, Median, Mode, Dispersion)
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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)
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Set Theory, Relations and Functions
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Trigonometric Functions
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Inverse Trigonometric Functions
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Quadratic Equations
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Sequence and Series (AP, GP, HP)
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Permutations and Combinations
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Binomial Theorem
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Coordinate Geometry (Straight Lines, Circles, Conic Sections)
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Differential Equations (First order & Linear)
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Statistics (Standard Deviation, Variance, plus advanced topics: Correlation, Regression, Curve Fitting)
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Probability (Binomial, Poisson, Normal Distributions)
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Mensuration (Areas & Volumes: Sphere, Cone, Cylinder) [Class 10 Level]
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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.