Introduction:
The mathematics curriculum for humanities students in Class 12 is designed to cater to their specific needs and interests. It differs from the curriculum for science students, as it focuses on mathematics in real-life applications and emphasizes problem-solving skills rather than advanced theoretical concepts. The curriculum aims to develop critical thinking, logical reasoning, and analytical skills that are essential for students pursuing careers in humanities.

Difference in Syllabus:
The mathematics curriculum for humanities students covers a wide range of topics that are relevant to their field of study. While science students delve into advanced mathematical concepts like calculus, trigonometry, and differential equations, humanities students concentrate on more practical and applicable areas of mathematics. The curriculum includes the following key areas:

1. Statistics and Probability: This section focuses on data interpretation, analysis, and presentation. Students learn about statistical measures, probability distributions, and hypothesis testing. These skills are essential for analyzing social, economic, and political data.

2. Financial Mathematics: This topic covers concepts related to investments, banking, and financial planning. Students learn about interest calculations, loans, annuities, and financial markets. These skills are crucial for understanding personal finance and making informed financial decisions.

3. Linear Programming: This area of mathematics deals with optimizing resources and finding the best solutions to real-world problems. Students learn how to formulate linear programming problems and use graphical and algebraic methods to solve them. This skill is valuable in fields such as economics, management, and operations research.

4. Elementary Number Theory: This topic introduces students to the fundamental concepts of numbers, divisibility, prime numbers, and modular arithmetic. It helps students develop logical reasoning and analytical thinking skills.

Teaching Methodology:
The mathematics curriculum for humanities students focuses on practical applications and problem-solving. Instead of emphasizing rote memorization and complex mathematical derivations, the teaching methodology encourages students to understand the concepts and apply them in real-life scenarios. The curriculum promotes the following teaching methods:

1. Real-life Examples: Teachers use relevant and relatable examples from humanities subjects to explain mathematical concepts. This helps students understand the practical applications of mathematics in their field of interest.

2. Collaborative Learning: Group discussions and collaborative activities are encouraged to enhance problem-solving skills. Students work together to solve real-life problems using mathematical techniques.

3. Technology Integration: The use of technology, such as graphing calculators and statistical software, is encouraged to facilitate data analysis and visualization.

4. Project-based Learning: Students are assigned projects that require them to apply mathematical concepts in real-life scenarios. This helps them develop critical thinking and problem-solving skills.

Conclusion:
The mathematics curriculum for humanities students in Class 12 is tailored to their specific needs and interests. It focuses on real-life applications, problem-solving, and critical thinking skills. By emphasizing practical mathematics, the curriculum equips humanities students with the necessary mathematical skills to excel in their chosen fields of study and future careers.