CBSE Class 11 Applied Mathematics Syllabus: 2020-21
CBSE Class 11 Applied Mathematics Syllabus: 2020-21
Get CBSE Syllabus for Class 11 Applied Mathematics (Academic Session 2020-21). Students of Class 11 having Applied Mathematics as one of their subjects should thoroughly study this syllabus.
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
No. |
Units | No. of Periods | Marks |
I. | Numbers, Quantification and Numerical Applications | 20 | 09 |
II. | Algebra | 35 | 10 |
III. | Mathematical Reasoning | 15 | 06 |
IV. | Calculus | 30 | 10 |
V. | Probability | 30 | 10 |
VI. | Descriptive Statistics | 35 | 12 |
VII | Basics of Financial Mathematics | 55 | 18 |
VIII | Coordinate Geometry | 20 | 05 |
| Total | 240 | 80 |
| Internal Assessment |
| 20 |
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
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