CBSE CLASS 12 APPLIED MATHS SYLLABUS
Unit 1 - Numbers Theory
* Modulo Arithmetic
* Congruence Modulo
* Simple Arithmetic Functions
* Allegation & Mixture
* Numerical Problems on :
Boats & Streams, Pipes & Cisterns, Partnership, Races, Games, Scheduling.
* Numerical Inequalities
Unit 2 - Algebra
* Solution of simultaneous linear equation using elimination method upto 3 variables.
* Matrices and types of Matrices
* Algebra of Matrices
* Determinants
* Inverse of a Matrix
* Cramer's rule and its application
* Simple application of Matrices and determinants including Leontiff input output model for two variables
Unit 3 - Calculus
* Application of Derivatives
* Increasing/ Decreasing Functions
* Maxima & Minima
* Marginal cost & Marginal revenue using derivatives
* Integration
* Indefinite integral as a family of curves
* Definite integral as area under one curve
* Integration of Simple algebraic functions
* Application of Integration
* Differential equation
* Formulating and solving linear differential equation
* Application of Differential equation
Unit 4 - Probability
* Probability distribution
* Mathematical expectation
* Variance
* Binomial distribution
* Poission distribution
* Normal distribution
* Basic application and inferences
Unit 5 - Inferential Statistics
* Population and sample
* Parameter, statistic and statistical inferences
* T-test
Unit 6 - Index Numbers & Time Based Data
* Index numbers, uses of index numbers
* Construction of index numbers
* Tests of adequacy of index numbers
* Time series, its analysis for univariant data sets
* Trend analysis by moving average
* Trend analysis by fitting of linear trend line using least squares
Unit 7 - Financial Mathematics
* Perpetuity, sinking funds
* Valuation of Bonds
* Calculation of EMI
* Calculation of returns, nominal rate of return, effective rate of interest
* Compound annual growth rate
* Stocks, shares and debentures