Central Board of Secondary Education (CBSE) in its notification has included applied mathematics as a new subject. It has been introduced as an elective subject at the senior secondary level. This decision is taken to make the students futureready in exploring various career options. According to the notification, the reason behind suggesting this subject is to make students understand the practical applications of mathematics in different specialties. CBSE has even announced to reduce 30% syllabus from the senior secondary classes. This will result as a precise curriculum responsible for lowering burden from the shoulders of students.
Applied Mathematics as a Subject Matter
Applied mathematics associates the spectrum of mathematical ideas and tactics to solve problems in the field of engineering science. The main intention of applied mathematics is not just the implementation of existing tools, but also to develop new mathematical applications. Well, due to the advancement in computational technology, applied mathematics has surpassed the conventional technique and adopted new insights with great vibrancy and exuberance.
Need for Applied Mathematics
As, we know mathematics as a subject is popularly used in higher classes be it social science, economics, commerce, etc., but the current syllabus is according to only science subject. It has absolutely no relevance to the social science and commercebased subject in universities. Hence, there is the requirement of applied mathematics that would help the students in grasping the fundamental arithmetic and analytical tools with their applications in the field of social sciences and commerce. It will also instill logical reasoning and problemsolving skills in the students.
Syllabus Grade XI & XII
To impart appropriate experience in Mathematics, the schools have been provided with the relevant syllabus. Also, schools affiliated with CBSE that are already running adequate mathematics courses at the senior secondary level will be automatically eligible for applied mathematics. Besides this, the schools will be provided with the necessary infrastructure and teaching staff.
Just check out the syllabus below;
Applied Mathematics Syllabus For Grade XI (202223)
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UNITS 
LEARNING OUTCOMES 
Unit1: Numbers, Quantification and Numerical Application 
1.1 Numbers & Quantification 
 Binary Numbers
 Indices, Logarithm & Antilogarithm
 Laws and Properties of Logarithm
 Simple Applications of Logarithm

1.2 Number Application 
 Average
 Clock
 Calendar
 Time Work & Distance
 Mensuration
 Seating Arrangement

Unit2: Algebra 
2.1 Sets 
 Introduction to Sets
 Representation of Sets
 Types of Sets and their Notations
 Subsets
 Intervals
 Venn Diagram
 Operation On Sets

2.2 Relations 
 Ordered Pairs
 Cartesian Products of Two Sets
 Relations

2.3 Sequences and Series 
 Sequence and Series
 Arithmetic Progression
 Geometric Progression
 Applications of AP and GP

2.4 Permutation and Combination 
 Factorial
 Fundamental Principle of Counting
 Permutation
 Combination

Unit3: Mathematical Reasoning 
3.1 Logical Reasoning 
 Odd Man Out
 Syllogism
 Blood Relations
 Coding & Decoding

Unit4: Calculus 
4.1 Functions 
 Dependent Variable & Independent Variable
 Function as a rule or law that defines a relationship between one variable ad another variable

4.2 Domains & Range of Functions 
 Domain as a set of all values of independent variable
 Codomain as a set of all values of dependent variable
 Range of Function as set of all values of dependent variable

4.3 Types Of Function 
 Constant Functions
 Identity Functions
 Polynormal Functions
 Relation Functions
 Composite Functions
 Exponential Functions
 Modulus Functions
 Greater Integer Functions
 Signum Functions
 Algebraic Functions

4.4 Graphical Representation of Function 
 Graph of Some polynomial function, logarithm function, exponential function, modulus function, greatest integer function & signum function

4.5 Concept of Limits and continuity of a function 
 Left hand Limit, Right Hand Limit, Limit of a Function, Continuity of Function

4.6 Instantaneous rate of range 
 The ratio βπ¦ / βπ₯ = π(π₯+βπ₯)βπ(π₯) / βπ₯ as instantaneous rate of change, where βπ¦ is change in π¦ and βπ₯ is change in π₯ at any instant

4.7 Differentiation as a process of finding derivative 
 Derivatives of functions (nontrigonometric only)

4.8 Derivatives of algebraic functions using Chain Rule 
 If π¦ = π(π’) where π’ = π(π₯) then differential coefficient of π¦ w.r.t x is ππ¦/ππ₯ = ππ¦/ππ’ . du/dx

Unit5: Probability 
5.1 Probability 
 Introduction
 Random experiment and sample space
 Event
 Conditional Probability
 Total Probability
 Bayes Theorem

Unit6: Descriptive Statistics 
6.1 Descriptive Statistics 
 Data Interpretation
 Percentile rank and Quartile rank
 Correlation

Unit7: Financial Mathematics 
7.1 Financial Mathematics 
 Interest and Interest Rates/li>
 Accumulation with simple and compound interest
 Simple and compound interest rates with equivalency
 Effective rate of interest
 Present value, net present value and future value
 Annuities, Calculating value of Regular Annuity
 Simple applications of regular annuities (upto 3 period)
 Tax, calculation of tax, simple applications of tax calculation in Goods and service tax, Income Tax
 Bills, tariff rates, fixed charge, surcharge, service charge
 Calculation and interpretation of electricity bill, water supply bill and other supply bills

Unit8: Coordinate Geometry 
8.1 Financial Mathematics 
 Straight line
 Circle
 Parabola

For getting full syllabus click here:Β
Grade XI Applied Math Syllabus (2022 23)
Applied Mathematics Syllabus Grade XII (202223)
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UNITS 
LEARNING OUTCOMES 
Unit1: Numbers, Quantification & Numerical Application 
1.1 Numbers, Quantification & Numerical Application 
 Modulo Arithmetic,
 Congruence Modulo
 Alligation and Mixture,
 Numerical Problems
 Numerical Inequalities

Unit2: Algebra 
2.1Β 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
 Solving system of simultaneous equations using matrix method, Cramerβs rule

Unit3: Calculus 
3.1 Calculus 
 Higher Order Derivatives
 Application of Derivatives
 Marginal Cost and Marginal Revenue using derivatives
 Increasing/Decreasing Functions
 Maxima and Minima

3.2 Integration and its Applications 
 Integration
 Indefinite Integrals as family of curves
 Definite Integrals as area under the curve
 Application of Integration

3.3 Differential Equations and Modeling 
 Differential Equations
 Formulating and Solving Differential Equations
 Application of Differential Equations

Unit4: Probability Distribution 
4.1 Probability Distribution 
 Probability Distribution
 Mathematical Expectation
 Variance
 Binomial Distribution
 Poison Distribution
 Normal Distribution

Unit5: Integral Statistics 
5.1 Integral Statistics 
 Population and Sample
 Parameter and Statistics and Statistical Interferences
 tTest (one sample ttest and two independent groups ttest


Unit6: Index Numbers and Time Based Data 
6.1 Index Numbers and Time Based Data 
 Time Series
 Components of Time Series
 Time Series
 analysis for univariate data
 Secular Trend
 Methods of Measuring
 Trend

Unit7: Financial Mathematics 
7.1 Financial Mathematics 
 Perpetuity, Sinking Funds
 Calculation of EMI
 Calculation of Returns, Nominal Rate of Return
 Compound Annual Growth Rate
 Linear method of Depreciation

Unit8: Linear Programing 
8.1 Financial Mathematics 
 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

For getting full syllabus click here:Β
Grade XII Applied Math Syllabus (2022 23)
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