March 3, 2022

Applied mathematics is the application of mathematical methods into various fields like Physics, Engineering, Medicine, Biology, Business, Computer Science, and Industry.

CBSE board has introduced this subject in the class 11th and 12th curriculum as an optional. This post shall provide you a deep understanding of the subject and what CBSE included in the subject.

Applied mathematics deals with an in-depth understanding of mathematical problems. In Undergraduate courses, each topic deals with applied mathematics.

All the problems require the application of mathematics i.e., real-time usage of maths. The problems need not be specifically maths, but they can be from different subjects like Chemistry, Biology, Physics and so on. These problems require the application of mathematics and knowledge of various branches of mathematics like analysis, differential equations, and stochastics, utilizing analytical and numerical methods.

CBSE has come up with this idea to add this subject to the 11th & 12th curriculum, to help you prepare for further UG courses. If you have taken up Commerce or Humanities, then Applied Mathematics is added as an optional subject.

There are numerous career options for applied mathematics as discussed below. In case you are studying in commerce stream, you can choose the right **Courses After 12th Commerce **that includes Maths.

Now, let us understand what CBSE has included in the Applied Mathematics subject for 11th and 12th.

For class 11 commerce or humanities, having knowledge about Maths is very much required. It is observed that the syllabus of Maths present in the science stream is not much helpful for commerce or humanities students.

Hence, CBSE came up with the initiation of adding Applied mathematics to their optional subjects.

- Taking this subject as an optional can really help in the future career. It will be easier for students to grasp things in UG courses.
- In UG, the Maths subject is entirely based on the application of mathematical methods. So, learning the same here can be a foundation for understanding the subject in depth.
- The Central Board of Secondary Education aims to provide relevant experience in Mathematics which can be used in the fields other than Physical Sciences.

Have a look at the detailed **CBSE Class 11 Applied Mathematics Syllabus** below. Also, know the marking scheme for each topic involved in the syllabus

Unit Name |
No. of Periods |
Marks |

Numbers, Quantification and Numerical Applications | 20 | 09 |

Algebra | 35 | 10 |

Mathematical Reasoning | 15 | 06 |

Calculus | 30 | 10 |

Probability | 30 | 10 |

Descriptive Statistics | 35 | 12 |

Basics of Financial Mathematics | 55 | 18 |

Coordinate Geometry | 20 | 05 |

Total | 240 | 80 |

Internal Assessment | - | 20 |

Total Marks | - | 100 |

Class 12 is usually an extended session of Class 11. Almost every topic would be repeated in 12th with more information and in-depth understanding of the subject.

Well, it is not the same in the case of Applied Mathematics. There are few new chapters included in the CBSE Class 12. Applied Mathematics plays an important role in Humanities also.

- This subject helps in developing mathematical language and symbolism to communicate and relate everyday experiences mathematically.
- Also, it does enhance the logical reasoning skills of formulating and validating mathematical arguments, framing examples, finding counterexamples.
- The course content will help students to develop a sound understanding of descriptive and inferential statistics which they can use to describe and analyze a given set of data and to further make meaningful inferences out of it.
- Data based case studies from the field of business, economics, psychology, education, biology, and census data will be used to appreciate the power of data in contemporary society.

Here is the brief **CBSE Class 12 Applied Mathematics Syllabus** along with the marking scheme. Have a look at the table below and know the topics.

Unit Name | No. of Periods | Marks |

Numbers, Quantification and Numerical Applications | 20 | 06 |

Algebra | 20 | 10 |

Inferential Statistics | 10 | 06 |

Index Numbers and Time-based data | 30 | 10 |

Calculus | 60 | 15 |

Financial Mathematics | 40 | 15 |

Linear Programming | 25 | 08 |

Probability | 35 | 10 |

Total | 240 | 80 |

Internal Assessment | - | 20 |

Total Marks | - | 100 |

As you have now understood what is applied mathematics, here is all you need to know about career options. There is a huge career opportunity for students who have studied or explored Applied mathematics.

If you are really very much interested in having a job that deals with Applied Mathematics, then you must understand the subject in depth.

It is important to score more marks in Class 11 and 12. Also, it is essential to know the basics very well. Here is the list of organizations that offer jobs for Mathematics and Computational Scientists:

- Academic institutions and research institutes
- Aerospace and transportation equipment manufacturers or service providers
- Analytics and forecasting organizations
- Chemical or pharmaceutical manufacturers
- Communications services providers
- Computer information and software firms; established or start-ups
- Consumer products companies
- Energy systems firms
- Electronics and computer manufacturers
- Engineering research organizations
- Financial service and investment management firms
- Government labs, research offices and agencies
- Insurance companies
- Medical device companies
- Producers of petroleum and petroleum products

Based on your interested you can choose various **Courses After 12th Humanities** that help in reaching your desired goals. You might be wondering, how is Applied Mathematics applicable in these areas. Well, check out the below problems you may come across when you start working in any of the above-mentioned industries or organizations. Aspirants may have to

- Check how to design a robot hand that picks up an object and drops it in the allotted space
- measure sentiment change as a result of social media shares, likes and comments?
- design a detailed plan for a clinical trial?
- check how an airline use smarter scheduling to reduce costs of aircraft parking and engine maintenance?
- know how to allocate an investment among various financial instruments to meet a risk/reward trade-off?
- calculate how might disease spread in populated areas in the event of a bioterrorism incident?

Frequently Asked Questions

Q). Is Applied mathematics an elective subject?

A). Yes, starting from the academic year 2020-21, Applied Mathematics will be considered as an academic elective subject and not a skill elective subject.

Q). Is Applied Mathematics a tough subject?

A). No, Applied Mathematics is not so tough subject. Students can take up the Class 11 Applied Mathematics Online Tuition to prepare well in the exam.

What are the branches of applied mathematics?

Numerical analysis, mathematics of engineering, linear programming, optimization and operations research, continuous modelling, mathematical biology and bioinformatics, information theory, game theory, probability and statistics, financial mathematics, actuarial science, cryptography are some of the branches of Applied Mathematics.

What are the subjects included in Applied mathematics for CBSE Class 12?

The subjects included in Class 12 Applied Mathematics are:

- Numbers, Quantification and Numerical Applications,
- Algebra,
- Mathematical Reasoning,
- Calculus,
- Probability,
- Descriptive Statistics,
- Basics of Financial Mathematics, and
- Coordinate Geometry.

What are the topics included in CBSE Class 11 Applied Mathematics?

The subjects included in CBSE Class 11 Applied Mathematics are:

- Numbers, Quantification and Numerical Applications
- Algebra
- Mathematical Reasoning
- Calculus
- Probability
- Descriptive Statistics
- Basics of Financial Mathematics
- Coordinate Geometry

Updated On : March 3, 2022

Applied mathematics is the application of mathematical methods into various fields like Physics, Engineering, Medicine, Biology, Business, Computer Science, and Industry.

CBSE board has introduced this subject in the class 11th and 12th curriculum as an optional. This post shall provide you a deep understanding of the subject and what CBSE included in the subject.

Applied mathematics deals with an in-depth understanding of mathematical problems. In Undergraduate courses, each topic deals with applied mathematics.

All the problems require the application of mathematics i.e., real-time usage of maths. The problems need not be specifically maths, but they can be from different subjects like Chemistry, Biology, Physics and so on. These problems require the application of mathematics and knowledge of various branches of mathematics like analysis, differential equations, and stochastics, utilizing analytical and numerical methods.

CBSE has come up with this idea to add this subject to the 11th & 12th curriculum, to help you prepare for further UG courses. If you have taken up Commerce or Humanities, then Applied Mathematics is added as an optional subject.

There are numerous career options for applied mathematics as discussed below. In case you are studying in commerce stream, you can choose the right **Courses After 12th Commerce **that includes Maths.

Now, let us understand what CBSE has included in the Applied Mathematics subject for 11th and 12th.

For class 11 commerce or humanities, having knowledge about Maths is very much required. It is observed that the syllabus of Maths present in the science stream is not much helpful for commerce or humanities students.

Hence, CBSE came up with the initiation of adding Applied mathematics to their optional subjects.

- Taking this subject as an optional can really help in the future career. It will be easier for students to grasp things in UG courses.
- In UG, the Maths subject is entirely based on the application of mathematical methods. So, learning the same here can be a foundation for understanding the subject in depth.
- The Central Board of Secondary Education aims to provide relevant experience in Mathematics which can be used in the fields other than Physical Sciences.

Have a look at the detailed **CBSE Class 11 Applied Mathematics Syllabus** below. Also, know the marking scheme for each topic involved in the syllabus

Unit Name |
No. of Periods |
Marks |

Numbers, Quantification and Numerical Applications | 20 | 09 |

Algebra | 35 | 10 |

Mathematical Reasoning | 15 | 06 |

Calculus | 30 | 10 |

Probability | 30 | 10 |

Descriptive Statistics | 35 | 12 |

Basics of Financial Mathematics | 55 | 18 |

Coordinate Geometry | 20 | 05 |

Total | 240 | 80 |

Internal Assessment | - | 20 |

Total Marks | - | 100 |

Class 12 is usually an extended session of Class 11. Almost every topic would be repeated in 12th with more information and in-depth understanding of the subject.

Well, it is not the same in the case of Applied Mathematics. There are few new chapters included in the CBSE Class 12. Applied Mathematics plays an important role in Humanities also.

- This subject helps in developing mathematical language and symbolism to communicate and relate everyday experiences mathematically.
- Also, it does enhance the logical reasoning skills of formulating and validating mathematical arguments, framing examples, finding counterexamples.
- The course content will help students to develop a sound understanding of descriptive and inferential statistics which they can use to describe and analyze a given set of data and to further make meaningful inferences out of it.
- Data based case studies from the field of business, economics, psychology, education, biology, and census data will be used to appreciate the power of data in contemporary society.

Here is the brief **CBSE Class 12 Applied Mathematics Syllabus** along with the marking scheme. Have a look at the table below and know the topics.

Unit Name | No. of Periods | Marks |

Numbers, Quantification and Numerical Applications | 20 | 06 |

Algebra | 20 | 10 |

Inferential Statistics | 10 | 06 |

Index Numbers and Time-based data | 30 | 10 |

Calculus | 60 | 15 |

Financial Mathematics | 40 | 15 |

Linear Programming | 25 | 08 |

Probability | 35 | 10 |

Total | 240 | 80 |

Internal Assessment | - | 20 |

Total Marks | - | 100 |

As you have now understood what is applied mathematics, here is all you need to know about career options. There is a huge career opportunity for students who have studied or explored Applied mathematics.

If you are really very much interested in having a job that deals with Applied Mathematics, then you must understand the subject in depth.

It is important to score more marks in Class 11 and 12. Also, it is essential to know the basics very well. Here is the list of organizations that offer jobs for Mathematics and Computational Scientists:

- Academic institutions and research institutes
- Aerospace and transportation equipment manufacturers or service providers
- Analytics and forecasting organizations
- Chemical or pharmaceutical manufacturers
- Communications services providers
- Computer information and software firms; established or start-ups
- Consumer products companies
- Energy systems firms
- Electronics and computer manufacturers
- Engineering research organizations
- Financial service and investment management firms
- Government labs, research offices and agencies
- Insurance companies
- Medical device companies
- Producers of petroleum and petroleum products

Based on your interested you can choose various **Courses After 12th Humanities** that help in reaching your desired goals. You might be wondering, how is Applied Mathematics applicable in these areas. Well, check out the below problems you may come across when you start working in any of the above-mentioned industries or organizations. Aspirants may have to

- Check how to design a robot hand that picks up an object and drops it in the allotted space
- measure sentiment change as a result of social media shares, likes and comments?
- design a detailed plan for a clinical trial?
- check how an airline use smarter scheduling to reduce costs of aircraft parking and engine maintenance?
- know how to allocate an investment among various financial instruments to meet a risk/reward trade-off?
- calculate how might disease spread in populated areas in the event of a bioterrorism incident?

Frequently Asked Questions

Q). Is Applied mathematics an elective subject?

A). Yes, starting from the academic year 2020-21, Applied Mathematics will be considered as an academic elective subject and not a skill elective subject.

Q). Is Applied Mathematics a tough subject?

A). No, Applied Mathematics is not so tough subject. Students can take up the Class 11 Applied Mathematics Online Tuition to prepare well in the exam.

What are the branches of applied mathematics?

Numerical analysis, mathematics of engineering, linear programming, optimization and operations research, continuous modelling, mathematical biology and bioinformatics, information theory, game theory, probability and statistics, financial mathematics, actuarial science, cryptography are some of the branches of Applied Mathematics.

What are the subjects included in Applied mathematics for CBSE Class 12?

The subjects included in Class 12 Applied Mathematics are:

- Numbers, Quantification and Numerical Applications,
- Algebra,
- Mathematical Reasoning,
- Calculus,
- Probability,
- Descriptive Statistics,
- Basics of Financial Mathematics, and
- Coordinate Geometry.

What are the topics included in CBSE Class 11 Applied Mathematics?

The subjects included in CBSE Class 11 Applied Mathematics are:

- Numbers, Quantification and Numerical Applications
- Algebra
- Mathematical Reasoning
- Calculus
- Probability
- Descriptive Statistics
- Basics of Financial Mathematics
- Coordinate Geometry