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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 future-ready 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 commerce-based 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 problem-solving 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 (2022-23)

 
UNITS LEARNING OUTCOMES
Unit-1: 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
Unit-2: 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
Unit-3: Mathematical Reasoning
3.1 Logical Reasoning
  • Odd Man Out
  • Syllogism
  • Blood Relations
  • Coding & Decoding
Unit-4: 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
  • Co-domain 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 βˆ†π‘¦ / βˆ†π‘₯ = 𝑓(π‘₯+βˆ†π‘₯)βˆ’π‘“(π‘₯) / βˆ†π‘₯ as instantaneous rate of change, where βˆ†π‘¦ is change in 𝑦 and βˆ†π‘₯ 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 𝑦 = 𝑓(𝑒) where 𝑒 = 𝑔(π‘₯) then differential coefficient of 𝑦 w.r.t x is 𝑑𝑦/𝑑π‘₯ = 𝑑𝑦/𝑑𝑒 . du/dx
Unit-5: Probability
5.1 Probability
  • Introduction
  • Random experiment and sample space
  • Event
  • Conditional Probability
  • Total Probability
  • Bayes Theorem
Unit-6: Descriptive Statistics
6.1 Descriptive Statistics
  • Data Interpretation
  • Percentile rank and Quartile rank
  • Correlation
Unit-7: 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
Unit-8: 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 (2022-23)

 
UNITS LEARNING OUTCOMES
Unit-1: Numbers, Quantification & Numerical Application
1.1 Numbers, Quantification & Numerical Application
  • Modulo Arithmetic,
  • Congruence Modulo
  • Alligation and Mixture,
  • Numerical Problems
  • Numerical Inequalities
Unit-2: 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, Cramer’s rule
Unit-3: 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
Unit-4: Probability Distribution
4.1 Probability Distribution
  • Probability Distribution
  • Mathematical Expectation
  • Variance
  • Binomial Distribution
  • Poison Distribution
  • Normal Distribution
Unit-5: Integral Statistics
5.1 Integral Statistics
  • Population and Sample
  • Parameter and Statistics and Statistical Interferences
  • t-Test (one sample t-test and two independent groups t-test
Unit-6: 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
Unit-7: 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
Unit-8: 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) Join Today One – On- One Live Interactive Classes at Emathsworld to Score good in upcoming session.

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