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CBSE Syllabus for Class 11 Commerce Maths 2021-2022 Exam

 

CBSE Class 11 Maths syllabus for Commerce stream is created for students who want to pursue Social Sciences or Commerce-based subjects in university education. Mathematics is an important subject, widely used in higher studies in the field of Economics, Commerce and Social Sciences. But, the Mathematics syllabus for Science subjects is quite different from what the Commerce subjects require. Therefore, the Central Board of Secondary Education decided to create a separate subject - Applied Mathematics for students of the Commerce stream. 

 

The syllabus for Class 11 Commerce Maths will help the students in developing the basic mathematical and statistical tools and their applications in the field of commerce (business, economics, finance) and social sciences. The syllabus includes 8 Units - Unit 1: Numbers, Quantification and Numerical Applications, Unit 2: Algebra, Unit 3: Mathematical Reasoning, Unit 4: Calculus, Unit 5: Probability, Unit 6: Descriptive Statistics, Unit 7: Basics of Financial Mathematics, Unit 8: Coordinate Geometry. The theory examination will be of 80 Marks while 20 Marks are allotted to internal assessment. 

 

You can find the latest syllabus for Applied Mathematics for Class 12 Commerce stream on the askIITians website. We have included all the latest details in the syllabus like exam pattern, marking scheme and the list of topics to be covered under every unit. CBSE syllabus for Class 12th Applied Mathematics includes topics like logarithms, binary numbers, time, work, distance, types of sets, subsets, Venn diagrams, relations, arithmetic progressions, permutations, mathematical reasoning, functions, limits and continuity. You will also study statistics and probability, data representation and data visualization in this subject. 

 

Check Detailed Syllabus for Class 11 Commerce Maths 

 

Class 11 Commerce Maths Syllabus

Marks 

Unit I: Numbers, Quantification and Numerical Applications

Prime Numbers, Encryptions using Prime Numbers, Binary Numbers, Complex Numbers (Preliminary Idea Only), Indices, Logarithm and Antilogarithm, Laws and properties of logarithms, Simple applications of logarithm and antilogarithm, Averages, Clock, Calendar, Time, Work and Distance, Mensuration, Seating arrangement

09

Unit II: Algebra

Introduction to sets, Representation of sets, Types of sets and their notations, Subsets, Intervals, Venn diagrams, Operations on sets, Ordered pairs, 

Cartesian product of two sets, Relations, Types of Relations, Sequence and Series, Arithmetic Progression, Geometric Progression, Applications of AP and GP, Factorial, Fundamental Principle of Counting, Permutations, Circular permutation, Permutations with restrictions, Combinations, Combination with repetition

15 

Unit III: Mathematical Reasoning  

Mathematical reasoning, Negation, Compound statements, Quantifiers, Converse and Contrapositive of

the statement, Implications, Validating statements, Logical reasoning, Odd man out, Syllogism, Blood relations, Coding-Decoding

06

Unit IV: Calculus

Functions, Domain and Range of a function, Types of functions, Graphical representation of functions, Concepts of limits and continuity of a function, Instantaneous rate of change, Differentiation as a process of finding derivatives, Derivatives of algebraic functions using Chain Rule, Tangent line and Equation of tangent

10

Unit V: Probability

Introduction to probability, Random experiment and sample space, Event, Conditional Probability, Total Probability, Bayes’ Theorem

08

Unit VI: Descriptive Statistics

Types of data, Data representation and data visualization, Data Interpretation, Measure of Central Tendency, Measure of Dispersion, Skewness and Kurtosis, Percentile rank and Quartile rank, Correlation

12

Unit VII: Basics of Financial Mathematics

Interest and Interest Rates, 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 the Value of Regular Annuity, Simple applications of regular annuities (up to 3 periods), 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

15

Unit VIII: Coordinate Geometry

Straight line, Gradient of a Line, Equation of line, Application of the straight line in demand curve related to economics problems, Circle, Circle as a locus of a point in a plane, Equation of a circle in standard form, central form, diameter form and general form, Parabola, Parabola as a locus of a point in a plane, Equation of a parabola in standard form: Focus, Directrix, Axis, Latus rectum, Eccentricity, Application in the parabolic reflector, beam supported by wires at the end of the support, girder of a railway bridge, etc.

05
 

Theory Exam 

80 Marks 
 

Internal Assessment 

20 Marks 

 

CBSE Class 11 Commerce Maths Syllabus 2021-22 FAQs

 

#1 Why should I download the syllabus for Class 11 Commerce Maths? 

The syllabus for Class 11 Science and Commerce streams is different from each other. The commerce students must download the commerce Maths syllabus to keep up with the topics to be studied in the academic year. The syllabus also includes the exam pattern for Class 11 Maths which is important for the students. 

 

#2 What is to be done in Class 11 Commerce Maths Practical? 

In Class 11 Commerce Maths, students need to study using Spreadsheet as a part of their practicals. According to the syllabus, here is the list of things you need to practice by using spreadsheets:

  • Calculating average and interest (simple and compound)
  • Creating pictographs
  • Drawing pie chart, bar graphs
  • Calculating central tendency 
  • Visualizing graphs (straight line, circles and parabola using real-time data)

 

#3 Who can take Applied Mathematics in Class 11?

The Applied Mathematics subject is for the students who wish to pursue Commerce or Social Science-based subjects in university education. The topics covered in this subject provide you with mathematical knowledge that can be used in the field of business, economic and social sciences. Therefore, this subject is suitable for Commerce stream students. 


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