What Were the Hardest Math Subjects When Starting Physics as a Bachelor Student?

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I'm a recent bachelor student into physics and I am really struggling with these type of maths. Especially infinite series and its tests, the Integral Test and etc. If it was easy for you, what type of books did you use or methods?
 
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A lot of undergraduate math subjects have a small set of tricks. If you learn 3, you get a C, learn 5 and you get a B, learn 7 and you get an A. You must survive that, but often those tricks do not give you great insight. Keep your eyes open for the exceptions: power series and complex numbers, linear equations, fourier series, etc. Those are the subjects that you really want to take to heart. The subject of differential equations has a dozen tricks, but the basics are really fundamental. You can tell that if there is an entire math class on a subject, then you will see a bit of it in the early classes that you should pay special attention to.
For practice in solving problems, I always recommend the Schaum's Outline series.
 
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The one trick among many that i still recall was integrating y first before x in a double integral.

The prof mentioned it in passing and then on the surprise quiz he had such an integral impossible to integrate starting with x first but a piece of cake when starting with y.

Another was from Linear Algebra, in adding and subtracting rows in a matrix to get a 1 value in a column over dividing the selected row by the inverse of the column number.

More recently, I learned that Euler's formula could be used to derive the sin/cos relationships for adding and subtracting angles.
 
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FAQ: What Were the Hardest Math Subjects When Starting Physics as a Bachelor Student?

What are the hardest math subjects for physics undergraduates?

Many students find calculus, particularly multivariable calculus, to be challenging due to its abstract nature and the need to visualize concepts in multiple dimensions. Linear algebra can also be difficult because of its heavy reliance on abstract reasoning and matrix operations.

Why is calculus so difficult for physics students?

Calculus is often challenging because it requires a strong understanding of limits, derivatives, and integrals, which are foundational for describing changes and motion in physical systems. The application of these concepts to real-world problems can be complex and non-intuitive.

How does linear algebra apply to physics?

Linear algebra is essential in physics for dealing with vector spaces and transformations, which are crucial in quantum mechanics, relativity, and many other areas. The abstract nature of vector spaces and eigenvalues can be difficult to grasp initially.

Is differential equations a tough subject for physics majors?

Yes, differential equations can be particularly tough because they involve solving equations that describe how physical quantities change. These equations often require a good grasp of both calculus and algebra, and their solutions can be complex and non-obvious.

What can help make these math subjects easier for physics students?

Consistent practice and seeking help when needed can make these subjects more manageable. Understanding the physical interpretations of mathematical concepts and how they apply to real-world problems can also make the material more intuitive and less abstract.

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