Applied Mathematics Vs Mathematics, Understanding the Differences
Mridula Sharma13 Mar, 2025
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Applied Mathematics Vs Mathematics: The Central Board of Secondary Education (CBSE) now offers applied mathematics as an elective course for students in both class 11 and class 12.
If you want to continue studying math, you must pick between applied and regular mathematics. In this article, we'll break down the distinctions between Applied Mathematics and Mathematics.Difference Between Applied Mathematics and Mathematics
The difference between Applied Mathematics and Mathematics is given in the table below:
| Difference Between Applied Mathematics and Mathematics | ||
|---|---|---|
| Parameters | Applied Mathematics | Mathematics |
| Definition | Applied mathematics involves using mathematical methods in fields like Physics, Engineering, Medicine, Business, etc. | Mathematics is the study of quantity, structure, space, and change, covering various topics. |
| Applications | Algebra, geometry, number theory, differential or integral calculus. | Physics, biology, business, economics. |
| Career Options | Accountant, Computer programmer, Engineer, Investment manager, Lawyer, Theoretical mathematician, Numerical analyst. | Academic institutions, research institutes, aerospace and transportation, analytics, chemical or pharmaceutical manufacturers, communications, energy systems, etc. |
| Difficulty Level | Generally considered easy. | Moderate. |
Mathematics opens doors to various career paths after school. However, the traditional math syllabus, mainly tailored for science students, often falls short in aiding those pursuing Commerce or Humanities. To address this gap, CBSE has introduced applied mathematics as an elective subject in Commerce Class 11 and 12. Studying mathematics equips you with essential knowledge and critical thinking skills, fostering a positive mindset for logical analysis. On the other hand, applied maths focuses on practical applications of basic mathematical and statistical tools in areas like Commerce and social sciences.
Topics Difference Between Applied Mathematics and Mathematics
The math syllabus is designed to support students in the science stream, while applied math is geared toward those in commerce, science, or humanities. Check out the table below to compare topics in Mathematics and Applied Maths for a clearer picture of their distinctions.| Topics Difference Between Applied Mathematics and Mathematics | |
| Mathematics | Applied Mathematics |
| Sets and Functions | Numbers, Quantification and Numerical Applications |
| Algebra | Algebra |
| Coordinate Geometry | Mathematical Reasoning |
| Calculus | Calculus |
| Mathematical Reasoning | Probability |
| Statistics and Probability | Descriptive Statistics |
| Relations and Functions | Basics of Financial Mathematics |
| Vectors | Coordinate Geometry |
| Three Dimensional Geometry | Inferential Statistics |
| Linear programming | Index Numbers and Time-based data |
| Linear Programming | |
| Financial Mathematics | |
Application Difference Between Applied Mathematics and Mathematics
Pure mathematics deals with solving mathematical problems directly, while applied mathematics addresses questions in various fields like physics, biology, and economics. Problems in pure mathematics can arise in areas like algebra, geometry, and calculus, while applied maths utilizes solutions from pure math to solve problems in fields such as physics and business. Class 11 and Class 12 Mathematics is essential for physics and engineering. Class 11 and Class 12 Applied math include numerical analysis, engineering mathematics, and cryptography, among others. Pure mathematics focuses on abstract principles, while applied math applies these principles to real-world situations. In simpler terms, pure math works with numbers alone, while applied math deals with numerical values and units of measurement. Applied math finds practical uses in everyday life, while pure math is more theoretical in nature.Career Difference Between Applied Mathematics and Mathematics
When considering your career options in pure and applied mathematics during CBSE class 11 and class 12 commerce , it's essential to find the path that aligns with your interests. Here's a breakdown of potential careers you can pursue with a mathematics background:Mathematics
Choosing mathematics in secondary school opens doors to various fields such as graduation, business, and science. With a foundation in mathematics, you can explore roles including:- Accountant
- Computer programmer
- Engineer
- Investment manager
- Lawyer
- Theoretical mathematician
- Numerical analyst
- Teacher
- Market researcher
- System analyst
- Statistician
- Government positions
Applied Mathematics
For those interested in applied mathematics, here are organizations that offer opportunities:- 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, both established and 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
Which is Easier, Mathematics and Applied Mathematics?
The difficulty level of Mathematics and Applied Mathematics depends on personal interest and understanding.
Mathematics: Involves abstract theories, problem-solving, and logical reasoning. It requires strong analytical skills and is ideal for students interested in Science and Technology.
Applied Mathematics: Focuses on using mathematical principles to solve real-world problems. It is considered easier for students comfortable with practical applications and interdisciplinary learning.
Both subjects serve different but complementary purposes. While Mathematics builds a strong foundation in theoretical concepts, Applied Mathematics bridges the gap between theory and real-world applications.
Choosing between Mathematics and Applied Mathematics should depend on your career aspirations and interests. If you prefer theoretical concepts and wish to pursue careers in Science, Engineering, or Research, Mathematics is a better option. However, if you are inclined toward practical applications in fields like Finance, Business, and Commerce, Applied Mathematics may be more suitable.
Both subjects play a significant role in shaping academic and professional careers, and selecting the right one can help you achieve your long-term goals effectively
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| Related Links | |
| Class 11 Commerce | Class 12 Commerce |
| Class 11 Maths | Class 12 Maths |
| Class 11 Applied Maths | Class 12 Applied Maths |
Applied Mathematics Vs Mathematics FAQs
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