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Applied Mathematics is the application of Mathematics that can be seen in vast regions like science, engineering, and other diverse areas. The sole purpose of studying Applied Mathematics is to explain unobserved phenomena with the theory. The students who don’t want to continue in the core subject can opt for Applied Mathematics for Class 12th.

Many students are not acquainted with the term Applied Mathematics. They hardly can make distinctions between maths and Applied Mathematics. There are basic differences. As we mentioned before that Applied Mathematics is applied to the theory. The main objectives of Applied Mathematics are as follows.

- Applied Mathematics helps you in having a solid knowledge of elementary statistics.
- The subject will also make you competent in computer programming.
- The best part is that it helps you in deeper knowledge and understanding of theory.
- The student can not only gain knowledge but also be capable to apply problem-solving as well as logical skills.
- The student can be able to learn about the theory and can perform undergraduate research and also have internship opportunities.
- Applied Mathematics can make you familiar with numerous subfields of Mathematics which are topology, numerical analysis, operational research, etc.

There are lots of career opportunities if you opt for Applied Mathematics. Here are some of the list which you can choose as your career. It is stated below.

- Accountant.
- Aerospace Engineer.
- Artificial Intelligence Designer.
- Environmental Scientist.
- Food Scientist.
- Risk Analysis.
- Product Developer.
- Software Engineer.

These are the career options that one can choose. However, these careers also need extra degrees and preparation.

The researchers had a plan to create a subject called Applied Mathematics for a long time. However, the students or the guardians may have a notion of what will be the type of course or what will be the career option. Recently, CBSE has introduced the subject in the list which they had mentioned that there is a big difference between the Applied Mathematics and the core subject.

- The course is designed especially for the students who can develop substantial mathematical skills.
- The entire syllabus will be covered in two years. After completing the course, the student can utilize Mathematical knowledge in the business field, economic field, and social sciences.
- Applied Mathematics strives to promote a preference for mathematical power.
- Moreover, the course will also assist you to formulate mathematical language and symbolism.
- The course is also beneficial and prepares the student to utilize algebraic methods.
- The content of the course is created in such a way that it will enable the student to decipher two-dimensional geometrical figures. Use the formula of algebra and deduce properties of geometrical figures.
- The best part is that Applied Mathematics also concentrates on practical works.

The syllabus of the Applied Mathematics for class XII is stated below. You need to go through it then you will get the idea of it. There are a total of eight chapters. The maximum marks are 80 and the time duration is three hours. CBSE has recommended the syllabus.

- Simple Arithmetic function.
- The Mixture or the Allegation.
- Numerical Inequalities.
- Partnership, pipe, and cistern, scheduling, race.

- Different types of matrices.
- Determinants.
- Cramer’s law and the application.
- The inverse of matrices.

- Differentiation.
- Integration.
- Differential Integration.
- Indefinite integral.
- Application and utilization of Integration.
- Application of differential integration.
- Maxima and Minima.
- Marginal cost and its revenue with the help of differentiation.

- Distribution of probability.
- Variance.
- Binomial distribution.
- Normal distribution.
- Basic application and inferences.
- Poisson distribution.

- Sample and population.
- Parameters, statistics, statistical inferences.
- t-test.

- Index number and its uses.
- Types of index numbers, the simple and weighted.
- Adequacy test of various index numbers.
- Time series, analysis of it in various sets.
- Trend analysis by shifting the average procedure.

- Sinking fund and perpetuate.
- Bonds and their value.
- EMI calculation.
- Linear procedures of depreciation.
- Stock, share, and debenture.
- Simple interest and compound interest.
- Calculation of return, nominal rate, effective rate.

The practical work is also there in Applied Mathematics. In the case of practical, there is not much difference between class XI and XII. The practical work which was there in standard XI is the same as the class XII. The only thing that a student will study is the graphs that are related to the exponential function, demand, and supply function in MS Excel and to study the nature of function at various levels. There will also be a graph of maxima and minima.

- Plotting of graph and its function on Excel. The student needs to study the graph and find out the maxima and minima.
- There will also be probability and the dice rolling mathematics. You have to practically show it.
- The students will also have to work on matrix multiplication and the inverse of a matrix.
- Stock Market and the representation of data sheets on Excel.
- Collecting data on price, weather reports, inflation, pollution. There will also be analyzing the data and to make meaningful inferences. It is also there in class XI.
- Collecting data from a newspaper which are related to traffic, sports-related news, and the market trends, the comparison between the present and future.

CBSE had introduced several projects. The educational institute will decide which one will be suitable for the students. Other than project works, this is also assessment work. The total marks for the project and assessment are 10+10 marks. So, the total marks for Applied Mathematics are 100.

Applied Mathematics is a new subject, but it is expected that the subject will give you a big opportunity in the future. If a student follows all the instructions and study then she/he can shine in the future.

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