Interest in Linear algebra and Differential Equations?

In summary, a college student is seeking interesting applications of Linear Algebra and Differential Equations that would appeal to non-math majors. Some suggestions include using Linear Algebra in business and engineering contexts, and applying Differential Equations in biology for modeling population dynamics and rates of reactions. It is also noted that knowledge of these mathematical concepts may be useful in computational work. Overall, the student is encouraged to view these courses as valuable learning experiences, even if they do not initially seem interesting to them.
  • #1
hivesaeed4
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I'm a college student whose been force enrolled in Linear Algebra and Differential Equations. No offence to math lovers but I don't find them very interesting. I study much better in courses which I find interesting so could someone please point out interesting applications of L.A. and D.E. (which would appeal to non-math majors).

Thanks.
 
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  • #2
What exactly is your field of study? That might help determine what the relevant applications are.
 
  • #3
Yeah best to follow Muphrid's advice before trying to motivate differential equations. But Linear Algebra might be easier. It would seem to be relevant anytime you have multiple input and multiple output. For instance in business. Engineering. Et cetera. Differential Equations might be seen as one of many extensions of Calculus, and DEQs might be looked at as the effort to take local informations about rates, and try to find global information. In business, you might know the market is changing right now, and that might help you find a future price. If you have multiple outputs, then about halfway through some differential equations, they implement the use of Linear Algebra. This is likely an oversimplification of a real job.

If you don't think you like math, and don't want to go further, you might consider this quarter as a little wax-on, wax-off, like how "Daniel-san" in the first Karate Kid didn't want to wax Mr Miyagi's classic car, he just wanted to learn to fight. It's all helping you become a real winner.
 
  • #4
Biology.
 
  • #5
Depending on the branch of biology, differential equations are probably going to be useful for dynamics of populations, rates of reactions, and such. I admit, linear algebra might not be so useful unless you go into maybe computational work--I once had an interest in simulations of proteins, for instance, and matrix operations are pretty much inextricably tied to any numerical work.
 

1. What is the difference between linear algebra and differential equations?

Linear algebra is a branch of mathematics that deals with linear equations and their representations in vector spaces. It focuses on operations and relationships between vectors and matrices. Differential equations, on the other hand, are mathematical equations that describe how a system changes over time based on the rate of change of its components. They involve derivatives and are used to model real-world phenomena.

2. Why are linear algebra and differential equations important in science?

Linear algebra and differential equations are essential tools in scientific research, particularly in fields such as physics, engineering, and economics. They provide a framework for understanding and solving complex systems and phenomena. Many real-world problems can be represented and analyzed using these mathematical concepts, making them crucial in scientific investigations.

3. How are linear algebra and differential equations related?

Linear algebra and differential equations are closely related, as many differential equations can be represented and solved using linear algebra techniques. For example, systems of linear differential equations can be solved using matrix operations. Additionally, linear algebra can be used to study the properties and behavior of solutions to differential equations.

4. What are some applications of linear algebra and differential equations in real life?

Linear algebra and differential equations have numerous practical applications in various fields. They are used to solve problems in physics, such as modeling the motion of objects, and in engineering, such as designing electrical circuits. They are also used in economics to model supply and demand and in computer graphics to create realistic animations and simulations.

5. What are some resources for learning more about linear algebra and differential equations?

There are many resources available for learning about linear algebra and differential equations, including textbooks, online courses, and video tutorials. Some popular books on the subject include "Linear Algebra and Its Applications" by David C. Lay and "Differential Equations with Applications and Historical Notes" by George F. Simmons. Online resources such as Khan Academy and MIT OpenCourseWare also offer free courses and tutorials on these topics.

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