Sure, here are a few college-level fields of mathematics along with some of their practical applications:

* **Algebra:** Algebra is the study of how to manipulate symbols and equations. It is used in many different fields, including engineering, physics, and computer science. For example, algebra is used to solve equations that model the behavior of physical systems, such as the motion of a projectile or the flow of electricity.
* **Calculus:** Calculus is the study of change. It is used in many different fields, including physics, engineering, economics, and finance. For example, calculus is used to calculate the speed of a moving object, the area under a curve, and the present value of a future stream of income.
* **Linear algebra:** Linear algebra is the study of systems of linear equations. It is used in many different fields, including computer science, statistics, and physics. For example, linear algebra is used to solve systems of equations that model the behavior of electrical circuits, the motion of molecules, and the spread of disease.
* **Differential equations:** Differential equations are equations that involve derivatives. They are used in many different fields, including physics, engineering, and economics. For example, differential equations are used to model the motion of objects, the flow of fluids, and the spread of diseases.
* **Probability and statistics:** Probability and statistics are the study of uncertainty. They are used in many different fields, including finance, insurance, and marketing. For example, probability and statistics are used to estimate the risk of an investment, the likelihood of a natural disaster, and the effectiveness of a marketing campaign.

These are just a few of the many college-level fields of mathematics. The specific applications of these fields will vary depending on the discipline. However, all of these fields have the potential to be used to solve real-world problems.

I hope this helps!
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