Major Mathematical Models or Techniques Studied in Class 12 Humanities

In Class 12 humanities, students are introduced to various mathematical models and techniques that are relevant to their field of study. These models and techniques help students analyze and interpret data, make predictions, and solve real-world problems. Some of the major mathematical models or techniques studied in Class 12 humanities include:

1. Statistics:
- Statistics is a branch of mathematics that deals with the collection, analysis, interpretation, presentation, and organization of data.
- Students learn about measures of central tendency (mean, median, mode) and measures of dispersion (range, variance, standard deviation).
- They also study probability, sampling techniques, correlation, regression, and hypothesis testing.

2. Linear Programming:
- Linear programming is a mathematical method used to optimize an objective function, subject to constraints that can be represented by linear inequalities.
- Students learn how to graphically solve linear programming problems involving two variables.
- They also learn about the simplex method, which is an algorithm used to solve linear programming problems involving multiple variables.

3. Financial Mathematics:
- Financial mathematics deals with various concepts related to finance, such as interest, investments, loans, annuities, and depreciation.
- Students learn about compound interest, present value, future value, and different types of loans.
- They also study concepts like stocks, bonds, mutual funds, and financial planning.

4. Operations Research:
- Operations research is a discipline that uses mathematical models, statistical analysis, and optimization techniques to make informed decisions.
- Students learn about linear programming, game theory, transportation problems, assignment problems, and network analysis.
- They also study decision theory and simulation techniques.

5. Mathematics in Economics:
- Students studying humanities often need to understand basic economic concepts and models.
- They learn about concepts like demand and supply, elasticity, production and cost functions, market equilibrium, and consumer behavior.
- They also study mathematical models used in macroeconomics, such as the IS-LM model and the aggregate demand and supply model.

Overall, the mathematical models and techniques studied in Class 12 humanities provide students with the necessary tools to analyze and interpret data, make informed decisions, and solve real-world problems in their respective fields of study. These concepts are essential for understanding and applying mathematical principles in various areas of humanities.