CBSE Applied Mathematics Higher secondary level (Year 2)
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- Description
- Curriculum
Grade 12 CBSE Applied math course content is covered under the following eight topics.
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1
Numbers, Quantification and Numerical- Applications
- Modulo Arithmetic
- Congruence Modulo
- Alligation and Mixture
- Numerical Problems
- Numerical Inequalities
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2
Algebra
- Matrices and types of matrices
- Equality of matrices, Transpose of a matrix, Symmetric and Skew symmetric matrix
- Algebra of Matrices
- Determinants
- Inverse of a matrix
- Simultaneous equations
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3
Calculus
- Derivatives up to second order
- Application of Derivatives
- Marginal Cost and Marginal Revenue using derivatives
- Increasing /Decreasing Functions
- Maxima and Minima
- Integration
- Indefinite Integrals as family of curves
- Definite Integrals as area under the curve
- Application of Integration
- Differential Equations
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4
Probability Distributions
- Probability Distribution
- Mathematical Expectation
- Variance
- Binomial Distribution
- Poison Distribution
- Normal Distribution
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5
Inferential Statistics
- Population and Sample
- Parameter and Statistics and Statistical Interferences
- t-Test
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6
Time-based data
- Time Series
- Components of Time Series
- Time Series analysis for univariate data
- Secular Trend
- Methods of Measuring trend
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7
Financial Mathematics
- Perpetuity, Sinking Funds
- Valuation of Bonds
- Calculation of EMI
- Compound Annual Growth Rate
- Linear method of Depreciation
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8
Linear Programming
- Introduction and related terminology
- Mathematical formulation of Linear Programming Problem
- Different types of Linear Programming Problems
- Graphical method of solution for problems in two variables
- Feasible and Infeasible Regions
- Feasible and infeasible solutions, optimal feasible solution
