IPUCET Mathematics (Class XI & XII NCERT + IPU CET Level) Syllabus

IPUCET Mathematics (Class XI & XII NCERT + IPU CET Level): topic-wise syllabus

1. 1

   Algebra

   ~7 marks

   Sets, Relations, Functions, Complex Numbers, Quadratic Equations, Sequences & Series, Permutations & Combinations, Binomial Theorem, Matrices & Determinants, Mathematical Induction, Inequalities, Mathematical Logic, Boolean Algebra, Partial Fractions

   • Algebra — Sets
   • Relations
   • Functions
   • Complex Numbers
   • Quadratic Equations
   • Sequences & Series
   • Permutations & Combinations
   • Binomial Theorem
   • Matrices & Determinants
   • Mathematical Induction
   • Inequalities
   • Mathematical Logic
   • Boolean Algebra
   • Partial Fractions
2. 2

   Trigonometry

   ~5 marks

   Identities, Compound/Multiple/Sub-multiple, Transformation, Equations, Inverse Trig, Properties of Triangles, Heights & Distances

   • Trigonometry — Identities
   • Compound/Multiple/Sub-multiple
   • Transformation
   • Equations
   • Inverse Trig
   • Properties of Triangles
   • Heights & Distances
3. 3

   Coordinate Geometry

   ~7 marks

   Straight Lines, Circles, Conics (Parabola, Ellipse, Hyperbola), 3D Geometry, Vectors, Locus, Transformation, Polar Coordinates

   • Coordinate Geometry — Straight Lines
   • Circles
   • Conics (Parabola, Ellipse, Hyperbola)
   • 3D Geometry
   • Vectors
   • Locus
   • Transformation
   • Polar Coordinates
4. 4

   Calculus

   ~10 marks

   Limits, Continuity, Differentiation, Higher Order, Partial, Euler's Theorem, Implicit, Logarithmic, Parametric, Applications (Tangent, Normal, Maxima/Minima, Rolle's, Lagrange's, Mean Value, Asymptotes, Curve Sketching), Integration, Definite Integrals, Beta, Gamma, Walli's, Applications (Area, Volume, Arc Length, Surface, Work, Moment, Pressure, KE, PE, Probability), Differential Equations, Series (Taylor, Maclaurin, Binomial, Exponential, Logarithmic, Trigonometric, Convergence)

   • Calculus — Limits
   • Continuity
   • Differentiation
   • Higher Order
   • Partial
   • Euler's Theorem
   • Implicit
   • Logarithmic
   • Parametric
   • Applications (Tangent, Normal, Maxima/Minima, Rolle's, Lagrange's, Mean Value, Asymptotes, Curve Sketching)
   • Integration
   • Definite Integrals
   • Beta
   • Gamma
   • Walli's
   • Applications (Area, Volume, Arc Length, Surface, Work, Moment, Pressure, KE, PE, Probability)
   • Differential Equations
   • Series (Taylor, Maclaurin, Binomial, Exponential, Logarithmic, Trigonometric, Convergence)
5. 5

   Probability & Statistics

   ~9 marks

   Classical, Empirical, Axiomatic, Conditional, Bayes, Random Variables, Binomial, Poisson, Normal, Mean, Variance, Moments, Central Tendency, Dispersion, Correlation, Regression, Sampling, Hypothesis Testing (t/z/Chi-square/F), ANOVA, Index Numbers, Time Series, LPP (Graphical, Simplex, Duality, Transportation, Assignment, Game Theory), Numerical Methods, Combinatorics, Graph Theory, Mathematical Reasoning, Asymptotic Notation, Recent Topics, Recent Advances, Recent Trends

   • Probability & Statistics — Classical
   • Empirical
   • Axiomatic
   • Conditional
   • Bayes
   • Random Variables
   • Binomial
   • Poisson
   • Normal
   • Mean
   • Variance
   • Moments
   • Central Tendency
   • Dispersion
   • Correlation
   • Regression
   • Sampling
   • Hypothesis Testing (t/z/Chi-square/F)
   • ANOVA
   • Index Numbers
   • Time Series
   • LPP (Graphical, Simplex, Duality, Transportation, Assignment, Game Theory)
   • Numerical Methods
   • Combinatorics
   • Graph Theory
   • Mathematical Reasoning
   • Asymptotic Notation
   • Recent Topics
   • Recent Advances
   • Recent Trends