CBSE Class 11 Applied Mathematics Syllabus 2022-23

CBSE Class 11 Applied Mathematics Syllabus 2022-23 includes Numbers, Quantification and Numerical Applications, Basics of Financial Mathematics, Coordinate Geometry etc for the session 2022 – 2023. Here is the detailed syllabus. To download class 11 Applied Mathematics CBSE latest sample question papers for the 2023 exams, please install the myCBSEguide App which is the best mobile app for CBSE students. The myCBSEguide app not only provides you the CBSE class 11 Applied Mathematics model question papers but it also provides class 11 Applied Mathematics chapter-wise test papers, class 11 Applied Mathematics best revision notes and other study material for class 11 Applied Mathematics students.

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CBSE Class – 11
Applied Mathematics (Code No. 241)
Syllabus (2022-23)

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Number of Paper: 1
Total Period: 240 (35 Minutes Each)
Time: 3 Hours
Max Marks: 80

No.	Units	No. of Periods	Marks
I.	Numbers, Quantification and Numerical Applications	25	09
II.	Algebra	45	15
III.	Mathematical Reasoning	15	06
IV.	Calculus	35	10
V.	Probability	25	08
VI.	Descriptive Statistics	35	12
VII	Basics of Financial Mathematics	45	15
VIII	Coordinate Geometry	15	05
	Total	240	80
	Internal Assessment		20

Unit I Numbers, Quantification and Numerical Applications

1. Numbers & Quantification
   • Binary Numbers
   • Indices, Logarithm and Antilogarithm
   • Laws and properties of logarithms
   • Simple applications of logarithm and antilogarithm
2. Numerical Applications
   • Averages
   • Clock
   • Calendar
   • Time, Work and Distance
   • mensuration
   • seating arrangement

Unit II Algebra

1. Sets
   • Introduction to sets – definition
   • Representation of sets
   • Types of sets and their notations
   • Subsets
   • Intervals
   • Venn diagram
   • Operations on sets
2. Relations
   • Ordered pairs Cartesian product of two sets
   • Relations
3. Sequences and Series
   • Sequences, Series
   • Arithmetic progression
   • Geometric progression
   • Applications of AP and GP
4. Permutations and Combinations
   • Factorial
   • Fundamental Principle of Counting
   • Permutations
   • Combinations

Unit III Mathematical and Reasoning

1. Logical reasoning

Unit IV Calculus

1. Functions
2. Domain and Range of a function
3. Types of functions
4. Graphical representation of functions
5. Concept of limits and continuity of a function
6. Instantaneous rates of change
7. Differentiation as a process of finding derivative
8. Derivatives of algebraic functions using Chain rule

Unit V Probability

1. Introduction
2. Random experiment and sample space
3. Event
4. Conditional Probability
5. Total Probability
6. Bayes’ Theorem

Unit VI Descriptive Statistics

1. Data interpretation Measure of Dispersion, Skewness and Kurtosis
2. Percentile rank and quartile rank
3. Correlation

Unit VII Basics of Financial Mathematics

1. Interest and interest rate
2. Accumulation with simple and compound interest
3. Simple and compound interest rates with equivalency
4. Effective rate of interest
5. Present value, net present value and future value
6. Annuities, calculating value of regular annuity
7. Simple applications of regular annuities (up to 3 period)
8. Tax, calculation of tax and simple applications of tax calculation in Goods and service tax, Income Tax
9. Bills, tariff rates, fixed charge, surcharge, service charge
10. Calculation and interpretation of electricity bill, water supply bill and other supply bills

Unit VIII Coordinate Geometry

1. Straight Line
2. Circles
3. Parabola

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

1. Plot the graph of functions on excel study the nature of function at various points, drawing lines of tangents
2. Create a budget of income and spending
3. Create and compare sheet of price & features to buy a product
4. Prepare the best option plan to buy a product by comparing cost, shipping charges, tax and other hidden costs 5. Smart purchasing during sale season
5. Prepare a report card using scores of the last four exams and compare the performance
6. Collect the data on weather, price, inflation, and pollution. Sketch different types of graphs and analyze the results

List of Suggested projects (class 11)

1. Use of prime numbers in coding and decoding of messages;
2. Prime numbers and divisbility rules;
3. Logrithms for financial calculations such as interest, present value, future vale, profit/loss etc with large values);
4. Cardinality of a set and orders of infinity;
5. Comparing sets of Natural numbers, rational numbers, real numbers and others;
6. Use of Venn Diagram in solving practical problems;
7. Fibonacci Sequence: Its’ history and presence in nature;
8. Testing the validity of mathematical statements and framing truth tables;
9. Investigating graphs of functions for their properties;
10. Visit the census site of India https://www.censusindia.gov.in/Census_Data_2001/Census_Data_Online/Language/Statement3.htm Depict the information given there in a pictorial form;
11. Prepare a questionnaire to collect information about money spent by your friends in a month on activities like traveling, movies, recharging of the mobiles, etc. and draw interesting conclusions;
12. Check out the local newspaper and cut out examples of information depicted by graphs. Draw your own conclusions from the graph and compare it with the analysis given in the report;
13. Analysis of population migration data – positive and negative influence on urbanization;
14. Each day newspaper tells us about the maximum temperature, minimum temperature, humidity. Collect the data for a period of 30 days and represent it graphically. Compare it with the data available for the same time period for the previous year;
15. Analysis career graph of a cricketer (batting average for a batsman and bowling average for a bowler). Conclude the best year of his career. It may be extended for other players also – tennis, badminton, athlete;
16. Vehicle registration data – correlating with pollution and number of accidents;
17. Visit a village near Delhi and collect data of various crops over past few years from the farmers. Also collect data about temperature variation and rain over the period for a particular crop. Try to find the effect of temperature and rain variations on various crops;
18. Choose any week of your ongoing semester. Collect data for the past 10 – 15 years for the amount of rainfall received in Delhi during that week. Predict amount of rainfall for the current year;
19. Weather prediction (prediction of monsoon from past data)
20. Visit Kirana shops near your home and collect the data of sale of certain commodities over a month. Try to figure out the stock of a particular commodity which should be in the store in order to maximize the profit;
21. Stock price movement ;
22. Risk assessments by insurance firms from data;
23. Predicting stock market crash;
24. Predicting outcome of election – exit polls;
25. Predicting mortality of infants.

Assessment Plan

1. Overall Assessment of the course is out of 100 marks.
2. The assessment plan consists of External Exam and Internal Assessment.
3. External Exam will be of 03 hours duration Paper/Pencil Test consisting of 80 marks.
4. The weightage of Internal Assessment is of 20 marks. Internal Assessment can be a combination of activities spread throughout the semester/ academic year. Internal Assessment activities include, projects and excel based practical. Teachers can choose activities from the suggested list of practical or they can plan activities of similar nature. For data-based practical, teachers are encouraged to use data from local sources to make it more relevant for students.
5. Weightage for each area of internal assessment may be as under:

Sl.No.	Area and weightage	Assessment Area	Marks allocated
1	Project work (10 marks)	Project work and record	5
		Year-end Presentation/Viva of the Project	5
2	Practical work (10 marks)	Performance of practical and record	5
		Year-end test of any one practical	5
Total			20