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Applied Mathematics is a branch of mathematics that uses mathematical models in real-world phenomena. These include a number of streams such as science, engineering, business, computer science, and industry.

In a broader sense, Applied Mathematics with equations or sets of equations is used to describe some physical problems that belong to various streams. These problems in various fields are discussed using mathematical models. Put it simply, mathematical models are used for making quantitative sense of the world around us.

In industry, applied mathematics plays a major role. A very good example can be found in the microchip fabrication industry. Microchip fabrication requires VLSI or Very Large Scale Integration of circuits ranging from several millions of circuits to a few billion circuits on a piece of chip less than 1 Sq. Inch. This precision requires applied mathematics and mathematical models to make this possible.

Some of the topics covered under Applied Mathematics include

- Dimensional Analysis and One-Dimensional Dynamics
- Two-Dimensional Dynamical Systems
- Perturbation Methods and Asymptotic Expansions
- Calculations of Variations
- Boundary Value Problems and Integral Equations
- Partial Differential Equations
- Wave Phenomena
- Mathematical Models of Continua
- Discrete Models
- Calculus of Variations and Applications
- Integral Equations
- Matrices and Linear Equations
- Crout Method for Solving Sets of Linear Algebraic Equations

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