CBSE Class 12 » CBSE Class 12 notifications » CBSE Class 12 Syllabus » Applied Mathematics

Applied Mathematics

Click on the link given above to access the applied mathematics syllabus for standard 12th.

The module given below is regarding the syllabus of applied mathematics compiled for standard 12th students as per the CBSE notifications and guidelines for a better and quick understanding of the unit-wise syllabus.

Unit-1: Numbers, Quantification and Numerical Applications 

  • Congruence Modulo
  • Modulo Arithmetic 
  • Numerical Inequalities
  • Alligation And Mixture
  • Numerical Problems
    • Boats and Streams (Upstream And Downstream)
    • Races and Games
    • Pipes and Cisterns

Unit-2: Algebra

  • Inverse of A Matrix
  • Solving system of simultaneous equations using matrix method
  • Cramer’s Rule
  • Algebra of Matrices 
  • Matrices and types of Matrices
  • Determinants
  • Equality of Matrices
  • Transpose of a Matrix
  • Symmetric and Skew Symmetric Matrix

Unit- 3: Calculus

Differentiation and its Applications  

  • Marginal Cost and Marginal Revenue using Derivatives
  • Maxima and Minima
  • Application of Derivatives
  • Higher-Order Derivatives
  • Increasing /Decreasing Functions

Integration and Its Applications 

  • Definite Integrals as area under the Curve
  • Application of Integration
  • Integration 
  • Indefinite Integrals as Family of Curves

Differential Equations and Modeling

  • Application of Differential Equations 
  • Differential Equations 
  • Formulating and Solving Differential Equations 

Unit- 4: Probability Distributions 

  • Variance
  • Mathematical Expectation
  • Normal Distribution
  • Probability Distribution 
  • Poisson Distribution
  • Binomial Distribution

Unit – 5: Inferential Statistics

  • Population and Sample
  • t-Test (One-Sample T-Test and Two Independent Groups T-Test) 
  • Parameter and Statistics and Statistical Interferences

Unit -6: Index Numbers and Time-Based Data

  • Components of Time Series
  • Methods of Measuring Trend 
  • Time Series
  • Secular Trend
  • Time Series Analysis for Univariate Data

 

Unit – 7: Financial Mathematics

  • Calculation of Emi
  • Linear Method of Depreciation
  • Perpetuity
  • Sinking Funds
  • Compound Annual Growth Rate
  • Calculation of Returns
  • Nominal Rate of Return

Unit – 8: Linear Programming 

  • Feasible and Infeasible Solutions
  • Optimal Feasible Solution
  • Introduction and Related Terminology 
  • Feasible and Infeasible Regions
  • Mathematical Formulation of linear programming problem
  • Graphical method of solution for problems in two variables
  • Different types of linear programming problems