What is Applied Mathematics: Detailed Explanation.

Summary: Applied mathematics is the application of mathematical methods and techniques to real-world problems in fields such as engineering, business, science, and medicine. It bridges the gap between theory and practice, providing tools and techniques to solve complex problems and create new knowledge. Here's more to - What is Applied Mathematics?

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 give you a deep understanding of the subject and what CBSE includes. 

Let's understand - What is CBSE Applied Mathematics?

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What is Applied Mathematics Class 12?

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, etc. 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 suggested adding this subject to the 11th & 12th curricula 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. If you are studying in the commerce stream, you can choose the right Courses After 12th Commerce, including Maths. 

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

Check: Mathematics Vs Applied Mathematics

Applied Mathematics Topics for Class 11 CBSE

For class 11 commerce or humanities, knowing 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 option can help in my future career. It will be easier for students to grasp things in UG courses. 
• In UG, the Maths subject is entirely based on applying mathematical methods. So, learning the same here can be a foundation for an in-depth understanding of the subject. 
• The Central Board of Secondary Education aims to provide relevant experience in Mathematics, which can be used in 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

What is CBSE Applied Mathematics Class 12?

Applied Mathematics Topics for Class 12 CBSE

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

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

• This subject helps develop 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, and finding counterexamples.
• The course content will help students develop a sound understanding of descriptive and inferential statistics, which they can use to describe and analyze a given data set and further make meaningful inferences.
• Data-based case studies from 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 and 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

Check: CUET Entrance Exam 2024 for students after 12th

Applied Mathematics Careers

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

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

It is important to score more marks in Classes 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 interest, you can choose various Courses After 12th Humanities that help in reaching your desired goals.

You might be wondering how applied mathematics is applicable in these areas. Check out the problems you may encounter when working in 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
• To measure sentiment change due to social media shares, likes and comments.
• Design a detailed plan for a clinical trial.
• Check how an airline uses smarter scheduling to reduce the 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 the disease might spread in populated areas during a bioterrorism incident.

Check: How to Calculate Percentile in CUET

Conclusion

Applied mathematics is a valuable field of study that can be applied to various disciplines and has many career opportunities! 

Also check: How To Prepare For CUET Physics