## CBSE Class 12 Applied Maths Syllabus 2020-21| Check Latest Exam Pattern

CBSE has released Class 12 Applied Maths Syllabus 2020-21. The board has decided to reduce the syllabus by 30 percent due to coronavirus pandemic. The annual theory paper will be of 80 marks while 20 marks will be given on the basis of internal assessment. S. No. Units Marks I Numbers, Quantification and Numerical Applications 06 II Algebra 10 III Inferential Statistics 06 IV Index Numbers and Time-based data 10 V Calculus 15 VI Financial Mathematics 15 VII Linear Programming 08 VII Probability 10 - Internal Assessment 20 Total 100

Unit I Numbers, Quantification and Numerical Applications

• Modulo Arithmetic
• Congruence modulo
• Simple arithmetic functions
• Allegation or Mixture
• Numerical problems on boats and streams; partnership; pipes and cistern; races and games, scheduling
• Numerical inequalities

Unit II Algebra

• Solution of simultaneous linear equations using elimination method (up to 3 variables)
• Matrices and types of matrices
• Algebra of matrices
• Determinants
• Inverse of a matrix
• Cramer’s rule and its application
• Simple applications of matrices and determinants including Leontiff input output model for two variables

Unit III Calculus

• Application of derivatives
• Increasing/Decreasing functions
• Maxima and Minima
• Marginal cost and marginal revenue using derivatives
• Integration
• Indefinite integral as family of curves
• Definite integral as area under the curve
• Integration of simple algebraic functions (primitive, by substitution, by parts)
• Application of Integration (consumer surplus-producer surplus)
• Differential equation (definition, order, degree)
• Formulating and solving linear differential equation
• Application of differential equation (Growth and Decay Model)

Unit IV Probability

• Probability Distribution
• Mathematical Expectation
• Variance
• Binomial Distribution
• Poisson distribution
• Normal distribution
• Basic applications and inferences

Unit V Inferential Statistics

• Population and sample
• Parameter, statistic and statistical inferences
• t-Test (one sample t-test and two independent groups t-test)

Unit VI Index numbers and Time-based data

• Index numbers, uses of index numbers
• Construction of index numbers (simple and weighted)
• Tests of adequacy of index numbers (unit test and time reversal test)
• Time series, Time series analysis for univariant data sets
• Trend analysis by moving average method
• Trend analysis by fitting of linear trend line using least squares

Unit VII Financial Mathematics

• Perpetuity, Sinking funds
• Valuation of Bonds (Present value approach and Relative price approach)
• Calculation of EMI
• Calculation of returns, nominal rate of return, effective rate of interest
• Compound annual growth rate
• Stock, shares and debentures
• Linear method of depreciation

Unit VIII Linear Programming

• Introduction and related terminologies (constraints, objective function, optimization)
• Mathematical formulation of linear programming problems
• Different types of linear programming problems (Transportation and assignment problem)
• Graphical method of solution for problems in two variables
• Feasible and infeasible regions (bounded and unbounded)
• Feasible and infeasible solutions, optimal feasible solutions (up to three nontrivial constraints)

 Internal Assessment 20 Marks Project Work 10 Marks Practical work 10 Marks