CBSE Applied Mathematics for Class 11 and 12 Commerce
Mridula Sharma13 Mar, 2025
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CBSE Applied Mathematics: Applied mathematics involves using math in different areas such as Physics, Engineering, Medicine, Biology, Business, Computer Science, and Industry.
For students studying under the CBSE board in classes 11th and 12th, this subject is now available as an optional choice. This article aims to provide a thorough overview of applied mathematics and what it covers according to the CBSE curriculum.What is Applied Mathematics?
Applied mathematics involves understanding and solving complex mathematical problems. In college, each subject covers different aspects of applied mathematics. These problems span various subjects like Chemistry, Biology, and Physics, requiring mathematical application and knowledge from fields such as analysis, differential equations, and Stochastics. The methods used include both analytical and numerical approaches. To prepare for higher education, CBSE suggests including Applied Maths in the 11th and 12th-grade curricula. It's also offered as an optional subject for students in Commerce or Humanities streams. There are many career paths in applied maths, particularly for commerce students. If you're in the commerce stream, you can explore various courses after completing 12th, including those involving mathematics. Let's dive deeper into what CBSE includes in the Applied Mathematics curriculum for 11th and 12th grades.Class 11 Applied Mathematics Topics
Understanding mathematics is crucial for students in class 11 commerce or humanities. However, traditional math syllabuses designed for science students might not be very beneficial for them. To address this gap, CBSE has introduced Applied Mathematics as an optional subject. Opting for Applied Maths can significantly benefit students in their future careers, especially in undergraduate courses. This subject focuses on applying mathematical methods, laying a strong foundation for deeper comprehension. CBSE aims to provide practical mathematical experience applicable beyond physical sciences. Check the detailed syllabus of CBSE Class 11 Applied Mathematics below, along with the marking scheme for each topic.
| Class 11 Applied Mathematics Topics | ||
| 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 Applied Mathematics Topics
Class 12 builds upon what you learned in Class 11, offering deeper insights and more details on familiar topics. However, Applied Mathematics in Class 12 Commerce brings something new to the table. Unlike other subjects, it introduces fresh chapters, particularly catering to the CBSE curriculum. Applied Maths isn't just for science streams; it's valuable for students in humanities too. Studying this subject isn't just about numbers; it's about developing a language and symbols to express real-life situations mathematically. It sharpens logical reasoning by teaching how to construct and validate mathematical arguments, using examples and counterexamples effectively. The syllabus covers descriptive and inferential statistics extensively, empowering students to describe and analyze data sets and draw meaningful conclusions. Through engaging case studies spanning various fields like business, economics, psychology, and biology, students learn to appreciate the significance of data in modern society. Below, you'll find a concise overview of the CBSE Class 12 Applied Mathematics syllabus and its marking scheme. Take a look to understand the topics better.
| Class 12 Applied Mathematics 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 |
Applied Mathematics Careers
Are you intrigued by the world of applied maths? Let's explore the exciting career opportunities it offers. Understanding applied mathematics thoroughly is crucial if you aspire to work in this field. Excelling in your studies during Classes 11 and 12 is essential, along with mastering the basics. Numerous organizations provide employment for Mathematics and Computational Scientists, including academic institutions, aerospace companies, analytics firms, and more. After completing your 12th grade in Commerce, you can pursue various courses tailored to your interests and career goals. But how does applied mathematics fit into these industries? Let's delve into some real-world scenarios:- Designing a robot hand for precise object manipulation.
- Analyzing social media data to gauge sentiment changes.
- Developing detailed plans for clinical trials.
- Optimizing airline schedules to reduce costs.
- Managing financial investments for optimal risk and reward.
- Predicting disease spread during potential bioterrorism incidents.
By understanding the practical applications of applied mathematics, you can unlock a world of possibilities across diverse industries.
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| Related Links | |
| Class 11 Commerce | Class 12 Commerce |
| Class 11 Applied Maths | Class 12 Applied Maths |
| Class 11 Applied Maths Syllabus | CBSE Class 12 Applied Maths Numerical Applications |
Applied Mathematics FAQs
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