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Civil engineers use partial differential equations in many different situations. These include the following: heating and cooling; motion of a particle in a resisting medium; hanging cables; electric circuits; natural purification in a stream.
All types of engineering professions use the quadratic formula since it applies to ordinary differential equations.
When you are talking about field and line calculations, complex differential equations are sometimes the best way to represent electrical characteristics. current and voltage in AC applications is defined using differential equations. You may use derivatives in control system modelling. There are many others.
CryptographyComputer graphicsCombinatoricsData recoverySolving systems of linear equations for arbitrary outputted valuesSolving systems of differential equations.
One thing about math is that sometimes the challenge of solving a difficult problem is more rewarding than even it's application to the "real" world. And the applications lead to other applications and new problems come up with other interesting solutions and on and on... But... The Cauchy-Euler equation comes up a lot when you try to solve differential equations (the Cauchy-Euler equation is an ordinary differential equation, but more complex partial differential equations can be decomposed to ordinary differential equations); differential equations are used extensively by engineers and scientists to describe, predict, and manipulate real-world scenarios and problems. Specifically, the Cauchy-Euler equation comes up when the solution to the problem is of the form of a power - that is the variable raised to a real power. Specific cases involving equilibrium phenomena - like heat energy through a bar or electromagnetics often rely on partial differential equations (Laplace's Equation, or the Helmholtz equation, for example), and there are cases of these which can be separated into the Cauchy-Euler equation.
Electrical engineering uses many branches of mathematics including complex numbers, matrices and linear equations. To study machines needs dynamics and thermodynamics. Radio systems use the theory of electromagnetics that uses vector algebra and optionally tensor algebra. Many branches of electrical engineering use the theory of differential equations and functions of a complex variable. So if you are good at mathematics electricity gives plenty of scope.
While engineering is not in itself a mathematical subject, it uses scientific and mathematical principles to achieve its objectives within design, efficient and economical structures, machines, processes and systems. It will resquire the study of higher level maths to include, calculus I, II, III, differential equations, etc.
One uses calculus including differential equations and vector calculus in the undergrad courses which is as far as got.
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In different sciences, there are lots of relationships between different quantities, described by equations. There are uses for the most basic math (e.g., multiplication) up to advanced topics (e.g., differential equations). Math is used more in certain sciences than in others - in the so-called "exact" sciences: you will find a lot of math in sciences such as physics, chemistry, astronomy, economics.Just open any science textbook, and see if you can spot equations that relate different quantities.In different sciences, there are lots of relationships between different quantities, described by equations. There are uses for the most basic math (e.g., multiplication) up to advanced topics (e.g., differential equations). Math is used more in certain sciences than in others - in the so-called "exact" sciences: you will find a lot of math in sciences such as physics, chemistry, astronomy, economics.Just open any science textbook, and see if you can spot equations that relate different quantities.In different sciences, there are lots of relationships between different quantities, described by equations. There are uses for the most basic math (e.g., multiplication) up to advanced topics (e.g., differential equations). Math is used more in certain sciences than in others - in the so-called "exact" sciences: you will find a lot of math in sciences such as physics, chemistry, astronomy, economics.Just open any science textbook, and see if you can spot equations that relate different quantities.In different sciences, there are lots of relationships between different quantities, described by equations. There are uses for the most basic math (e.g., multiplication) up to advanced topics (e.g., differential equations). Math is used more in certain sciences than in others - in the so-called "exact" sciences: you will find a lot of math in sciences such as physics, chemistry, astronomy, economics.Just open any science textbook, and see if you can spot equations that relate different quantities.
All areas. Algebra is used in every math I've taken. Iv'e taken algebra, geometry, trigonometry, pre-calculus, calculus 1, calculus 2, caluculus 3, and differential equations.
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