CBSE Class 11 Applied Mathematics Syllabus: 2020-21

Download CBSE Class 11 Applied Mathematics Syllabus 2020-21 in PDF format. The link to download CBSE Syllabus for Class 11 Applied Mathematics 2020-21 is given at the end of this article. Links to access other important articles are also available here.

CBSE Class 11 Applied Mathematics Syllabus: 2020-21 

Total Period–240 (35 Minutes Each)

One Paper: Three Hours & Maximum Marks: 80

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

- Numerical problems on averages, calendar, clock, time, work and distance, mensuration, seating arrangement 

Unit II Algebra 

- Sets

- Types of sets

- Venn diagram

- De Morgan's laws

- Problem solving using Venn diagram

- Relations and types of relations

- Introduction of Sequences, Series

- Arithmetic and  Geometric progression

- Relationship between AM and GM

- Basic concepts of Permutations and Combinations

- Permutations, Circular Permutations, Permutations with restrictions

- Combinations with standard results

Unit III Mathematical and Logical Reasoning

- Mathematically acceptable statements

- Connecting words/ phrases in Mathematical statement consolidating the understanding of "if and  only if (necessary and sufficient) condition", "implies", "and/or", "implied by", "and", "or", "there exists" and  their use through variety of examples related to real life and  Mathematics

- Problems based on logical reasoning  (coding-decoding, odd man out, blood relation, syllogism etc)

 Unit IV Calculus

- Introducing functions

- Domain and  Range of a function

- Types of functions (Polynomial function; Rational function; Composite function; Logarithm function; Exponential function; Modulus function; Greatest Integer function, Signum function)

- Graphical representation of functions

- Concept of limits and  continuity of a function

- Instantaneous rates of change

- Differentiation as a process of finding derivative

- Derivatives of algebraic functions using Chain rule

- Tangent line and  equations of tangents

 Unit V Probability

- Random experiment, sample space, events, mutually exclusive events

- Independent and Dependent Events

- Law of Total Probability

- Bayes’ Theorem

 Unit VI Descriptive Statistics

- Types of data  (raw data, univariate data, bivariate and multi-variate data)

- Data  on various scales (nominal, ordinal, interval and  ratio scale)

- Data  representation and visualization

- Data  interpretation (central tendency, dispersion, deviation, variance, skewness and  kurtosis)

- Percentile rank and quartile rank

- Correlation (Pearson and  Spearman method of correlation)

- Applications of descriptive statistics using real time data

Unit VII Basics of Financial Mathematics

- Interest and interest rate

- 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 (up to 3 period)

- Tax, calculation of tax and  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

(Comparing interest rates on various types of savings; calculating income tax; electricity bills, water  bill; service surcharge using realistic data)

Unit VIII Coordinate Geometry

- Straight Line

- Circles

- Parabola

(only standard forms and  graphical representation on two-dimensional plane)

Practical:  Use of spreadsheet

Calculating average, 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)

Suggested practical using spreadsheet

Plot the graph  of functions on excel; study the nature of function at various points, drawing lines of tangents;

Create budget of income and spending;

Create compare sheet of price, features to buy a product;

Prepare best option plan to buy a product  by comparing cost, shipping charges, tax and other hidden cost;

Smart  purchasing during sale season;

Prepare a report card using scores of last four exams and  compare the performance;

Collect the data  on weather, price, inflation, and pollution. Sketch different types of graphs.

Download CBSE Class 11 Applied Mathematics Syllabus: 2020-21 in PDF format

CBSE Syllabus 2020-21: Class 9th, 10th, 11th, 12th Released - Download PDF