Mathematics/Applied Mathematics for NCET

• 1

  Relations and Functions

  Mathematics (Section B1), Unit I. Covers Types of relations; Types of functions; Inverse trigonometric functions.

  • Types of relations 6 questions
  • Types of functions 6 questions
  • Inverse trigonometric functions 5 questions
• 2

  Matrices and Determinants

  Section A (compulsory) and Mathematics Unit II; also Applied Mathematics Unit II.

  • Matrices and their types 5 questions
  • Algebra of matrices 5 questions
  • Determinants 6 questions
  • Adjoint and inverse of a matrix 5 questions
  • Solving systems of linear equations 5 questions
• 3

  Continuity, Differentiability and Applications of Derivatives

  Section A and Mathematics Unit III. Covers Continuity and differentiability; Derivatives of special functions; Second-order derivatives; Rate of change; Increasing and decreasing functions; Maxima and minima.

  • Continuity and differentiability 5 questions
  • Derivatives of special functions 5 questions
  • Second-order derivatives 6 questions
  • Rate of change 5 questions
  • Increasing and decreasing functions 5 questions
  • Maxima and minima 5 questions
• 4

  Integrals and Differential Equations

  Section A and Mathematics Unit III. Covers Indefinite integrals; Methods of integration; Definite integrals; Applications of integrals; Differential equations: basics; Solving differential equations.

  • Indefinite integrals 6 questions
  • Methods of integration 5 questions
  • Definite integrals 5 questions
  • Applications of integrals 5 questions
  • Differential equations: basics 5 questions
  • Solving differential equations 5 questions
• 5

  Vectors and Three-Dimensional Geometry

  Mathematics Unit IV. Covers Vectors: basic concepts; Vector algebra; Scalar and vector products; Lines in space; Angle and shortest distance between lines.

  • Vectors: basic concepts 5 questions
  • Vector algebra 5 questions
  • Scalar and vector products 5 questions
  • Lines in space 5 questions
  • Angle and shortest distance between lines 5 questions
• 6

  Linear Programming

  Section A, Mathematics Unit V and Applied Mathematics Unit VIII.

  • Terminology and formulation 5 questions
  • Graphical method 5 questions
  • Feasible and optimal solutions 5 questions
• 7

  Probability

  Section A and Mathematics Unit VI. Covers Conditional probability; Multiplication theorem and independent events; Total probability and Bayes’ theorem.

  • Conditional probability 6 questions
  • Multiplication theorem and independent events 5 questions
  • Total probability and Bayes’ theorem 5 questions
• 8

  Numbers, Quantification and Numerical Applications

  Applied Mathematics (Section B2), Unit I. Covers Modulo arithmetic and congruence; Alligation and mixtures; Boats and streams; Pipes and cisterns; Races and games; Numerical inequalities.

  • Modulo arithmetic and congruence 5 questions
  • Alligation and mixtures 5 questions
  • Boats and streams 5 questions
  • Pipes and cisterns 5 questions
  • Races and games 5 questions
  • Numerical inequalities 5 questions
• 9

  Applied Calculus

  Applied Mathematics, Unit III. Covers Derivatives in applications; Marginal cost and marginal revenue; Maxima, minima and monotonicity; Integration and area; Consumer and producer surplus; Differential equations.

  • Derivatives in applications 5 questions
  • Marginal cost and marginal revenue 5 questions
  • Maxima, minima and monotonicity 5 questions
  • Integration and area 5 questions
  • Consumer and producer surplus 5 questions
  • Differential equations 5 questions
• 10

  Probability Distributions

  Applied Mathematics, Unit IV; simple probability in Section A.

  • Random variables and expectation 5 questions
  • Variance and standard deviation 5 questions
  • Binomial distribution 5 questions
  • Poisson distribution 5 questions
  • Normal distribution 5 questions
• 11

  Time-Based Data

  Applied Mathematics, Unit V. Covers Time series and its components; Time series analysis; Secular trend and its measurement.

  • Time series and its components 5 questions
  • Time series analysis 5 questions
  • Secular trend and its measurement 5 questions
• 12

  Inferential Statistics

  Applied Mathematics, Unit VI. Covers Population and sample; Parameter, statistic and inference; t-test.

  • Population and sample 5 questions
  • Parameter, statistic and inference 5 questions
  • t-test 5 questions
• 13

  Financial Mathematics

  Applied Mathematics, Unit VII. Covers Perpetuity and sinking funds; EMI; Rate of return and CAGR; Linear depreciation; Bond valuation.

  • Perpetuity and sinking funds 5 questions
  • EMI 5 questions
  • Rate of return and CAGR 5 questions
  • Linear depreciation 5 questions
  • Bond valuation 5 questions

Practice questions and mock tests