# CBSE Class 12 Applied Mathematics 2021

The Central Board of Secondary Education (CBSE) has introduced a new subject from the year 2020-21. Those candidates who will be entering the Class 11th and those who are in the CBSE Class 12 can take up the CBSE Applied Mathematics subject (Code 241). CBSE Class 12 Applied Mathematics is available as a main or an academic elective subject. The CBSE Maths subject that is available now will not change.

## CBSE Class 12 Applied Mathematics 2021

The present CBSE Mathematics subject for Class 11 and 12 is designed for the Science Stream students of Class 11 and 12. The new curriculum or subject for Commerce and Arts students under CBSE Applied Mathematics (Subject code (241) is released by the board. It will be applicable for those students who wish to choose Economics, Commerce, and Social Science Subjects.

Applied Mathematics is designed to cater to the students of the Commerce and Humanities stream. This subject focuses on the fundamentals of Business, Finance, Economics, etc. Also, check CBSE Class 12 Time Table 2021. ### CBSE Class 12 Applied Mathematics Syllabus 2021

The topics involved in Applied Mathematics are number theory, interpretation of data, commercial mathematics, set theory, algebra, relation & function, etc. The detailed CBSE Class 12 Applied Mathematics Syllabus is as follows:

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 cisternraces and games, scheduling
• Numerical inequalities

Unit II Algebra

• A solution of simultaneous linear equations using the elimination method (up to 3 variables)
• Matrices and types of matrices
• Algebra of matrices
• Determinants
• The inverse of a matrix
• Cramer’s rule and its application
• Simple applications of matrices and determinants including Leontief 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 a 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)
• The differential equation (definition, order, degree)
• Formulating and solving a 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
• The t-Test (one-sample t-test and two independent groups t-test)

Unit VI Index numbers and Time-based data

• Index numbers use of index numbers
• Construction of index numbers (simple and weighted)
• Tests of the 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 the fitting of linear trend line using the 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
• The compound annual growth rate
• Stock, shares, and debentures
• Linear method of depreciation

Unit VIII Linear Programming

• Introduction and related terminologies (constraints, objective function,
• optimization)
• A 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) ### CBSE Class 12 Applied Mathematics Marking Scheme 2021

 No. Units No. of Periods Marks I. Numbers, Quantification and Numerical Applications 20 06 II. Algebra 20 10 III. Inferential Statistics 10 06 IV. Index Numbers and Time-based data 30 10 V. Calculus 60 15 VI. Financial Mathematics 40 15 VII. Linear Programming 25 08 VIII. Probability 35 10 Total 240 80 Internal Assessment 20

### CBSE Class 12 Applied Mathematics FAQs

Q). Can a candidate opt for both ‘Mathematics (041)’ and ‘Applied Mathematics’ subjects?

A). No, the candidates have to choose one option among the two subjects.

Q). Will, there be any changes in the existing Mathematics Subject?

A). No, the existing CBSE Mathematics Subject will not be changed.

Q). If a candidate doesn’t clear Mathematics (041) in the Board Exa, will he/she be eligible to take up the Applied Mathematics(241) or vice versa in the exam?

A). No, the candidate will not be eligible to do so. These two subjects are totally separate and the candidates cannot interchange them.

Q). Can a candidate who passed Standard Mathematics in Class X apply for Applied Mathematics in Class 11?

A). Yes, the candidate can do so, but the choice completely depends on the courses chosen by the candidate.

Q). Which are the topics involved in CBSE Class 12 Applied Mathematics?

A). The CBSE Class 12 Applied Mathematics topics involve, Numbers, Quantification and Numerical Applications, Algebra, Inferential Statistics, Index Numbers, and Time-based data, Calculus, Financial Mathematics, Linear Programming, & Probability.