in this post we’ll discover how hard is applied math, and if it is possible to study it on your own.
Is applied math hard
Applied math is a hard subejcts the same as pure math, sometimes it can be hard to solve because the equations are often very messy. In many cases, the solutions are not solvable analytically, so requires programming skills to solve them numerically. This can make the process of finding a solution very frustrating and time-consuming.
Some people who enjoy the abstract math of higher-level calculus and proofs may find application math to be more difficult or boring.
This is because the problems usually have real-world context and some practical method to determine the result, as opposed to the more open-ended questions asked in abstract or pure math.
In the contrast, for people who enjoy applying math in different areas of science, applied math may be a better fit than pure math.
Applied math includes problem-solving and applications of mathematical techniques to practical problems. It can be included in many areas of science like physics, engineering, biology, social science, etc.
it will be fun to see how applied math is useful in real-life applications rather than stay between pure theoretical subejcts like topology, group theory, etc.
It’s important to have a strong foundation to study applied math including calculus, linear algebra, and differential equations to apply them in real-world situations.
Applied math problems often require complex calculations that can be difficult to solve without a thorough understanding of the underlying principles.
Additionally, having a good understanding of the theory behind math concepts can help you better understand and remember problem-solving techniques.
Mathematics and physics are two very closely related fields of study. In fact, a lot of the mathematics that is used in physics is actually applied mathematics. It can be used to solve problems in physics, as well as other sciences and engineering disciplines.
Should you study applied math?
Math is a very important subject that is used in many different careers. If you find math interesting and like to discover how things work, and build stuff, you should study applied math.
Applied math is the use of math in real-world situations. This type of math is used in many different careers, such as engineering, physics, biology, and science.
For instance, if you like to work in computer science applied math is essential in the field of computer science.
By studying applied math, you will develop the skills you need to solve complex problems and design efficient algorithms.
In addition, math is a fundamental building block for many other areas of computer science, including machine learning, artificial intelligence, and data science. If you want to be a successful computer scientist, it will be an excellent idea to take this course.
applied math is not also made for computer science, is an excellent subejcts for all engineering and technology branches that involves a lot of practice and experimentation.
Applied mathematics, is a field that combines mathematics, computers, physics, and engineering together. if you like them all, you will find yourself in this course.
In addtion, it will be a good choice if you hate or want to stay away from abstract algebra, number theory, or topology.
Can you self-study applied mathematics
Applied Math can be a difficult subject to self-study but with the right tools and guidance, pillar one is the intrest or passion to do that. There are a variety of resources available online that can help you to do that.
Firstly, you must have solid foundations in math calculus, linear algebra, probability, and statistics the importance of these subjects is going to vary depending on the area you choose.
for instance, if you decide to learn applied mathematics for comptuer science you will need to be good at calculus and linear algebra.
On another side, if you think to major in social systems or finances probability and statics will be more important to focus on than calculus and linear algebra.
So you have to expect to study 3 pillar subejcts in applied math:
- calculus
- Linear algebra
- probability and statistics
how to self-study applied mathematics
step 1: take a probability and statistics course
you should take a probability and statistics course before taking an applied math course, these concepts will be used in the course.
Because probability and statistics provide a strong foundation for working with data and solving mathematical problems.
step 2: take caluclus and differential course
it is recommended that students have a strong foundation in calculus and differential equations. This is because the concepts learned in calculus and differential equations are essential for understanding the principles behind applied math especially in engineering and design.
step 3: take a linear algebra course
Linear algebra provides a powerful set of mathematical tools for solving problems in many areas of mathematics, physics, and engineering.
In addition, linear algebra is a prerequisite for many courses in applied mathematics, including numerical analysis, differential equations, and scientific computing.
Before taking an applied mathematics course, it is important to have a strong foundation in linear algebra.
step 4: choose a specific area you want to study
After finishing the first step and completing the requisites courses you want to take before tackling the applied algebra course, now is the time to discover the multiple areas or specializations in applied math.
applied math has a lot of subfields you choose between for instance you could study applied math in:
- Asymptotic Analysis
- Biological systems
- Complex Systems
- Diffusive Processes
- Earth Sciences
- Fluid Dynamics
- Materials Science
- Mathematical Biology
- Scientific Computing
- Social Systems
- Stellar Astrophysics
- Wave Propagation
- Applied Math Fluids Lab
you have to choose one domain or specialty and go deeper into it.
step 5- take a paid course in the area
After choosing your preferable area of applied math, now is the time to work.
studying a course from books is difficult to do especially if you want to understand advanced math fields, applied math is one of them.
So is better to take an online course that has a following or support where you could ask questions when things get tough.
Because applied math is a subject that requires a lot of support, so is better to choose online courses that have support and communities where you can ask your questions.
you can check Udemy, Coursera, and skillshare they have brilliant courses in applied math.