Math major here. What makes my bachelors in math equal, or at least worth the same as any other math undergrad around the nation (USA)? I mean does it even matter the courses that I am taking? Do people that want me for their job give 2 shits about my degree, or that’s just fucking lies? I want to work somewhere that involves applied math or at least at a bank. For example here a list of math courses I taken so far:
Probability (not statistics each course is separate, junior course)
Intro to PDE (junior course)
ODE (junior course)
Abstract Algebra (junior course)
Intermediate analysis (junior)
Linear Algebra (sophomore)
A vector analysis course (According to the guy teaching this class is like Calculus 4 still was a tough course)
Advance linear algebra I & II (senior courses)
Partial differential equations (senior course)
And this is the courses I want to take:
Complex analysis (junior)
Intro to Real Analysis I&II (senior)
Numerical Analysis (senior)
Math Biology (senior)
Partial differential equations II
Should I take those courses to “enhance” my degree so I get a nice job? Or finish my math courses that I am required to take which is only 3 credits, and is a course in Survey in Math?
>I mean does it even matter the courses that I am taking
Absolutely, what separates a good degree from a bad degree (even from the same school) is the course selection.
>What makes my bachelors in math equal, or at least worth the same as any other math undergrad around the nation (USA)?
At the bare minimum a math major should take
1 semester of theoretical linear algebra at the level of Shilov/Hoffman&Kunze
2 semesters of abstract algebra at the level of Artin/Herstien/D&F
2 semesters of real analysis at the level of Rudin/Munkres/Apostol/Pugh
1 semester of point-set topology at the level of Munkres
1 semester of PDEs at the level of Strauss/Haberman
1 semester of complex variable or complex analysis
In general no; nobody gives a shit about what math classes you took. You will be hired to do some sort of analysis which they will train you for on the job. Unless you decide to be an actuary in which case the courses only help you prepare for the exams. you wont actually be doing any math without going to grad school, and even after you finish that, there is no guarantee that you will be doing math as your career.
Depend on what you count as a waste of money; you learned a lot of stuff right? Is't that what you're paying to go to college for? Or do you just what to pay the university and have them put A's on a sheet of paper.
the "intermediate analysis" is where they learn limits, derivatives, integrals in the one dimensional real line. I''m not sure if they go to multiple dimensions; if they do that would make a lot more sense.
this is the course
The goal of the course is to teach students mathematical reasoning and the construction of proofs in the environment of R1. Topics covered include the topology of R1, convergence and limits, and the proofs of well-known calculus theorems such as the Mean Value Theorem, the Intermediate Value Theorem, the Inverse Function Theorem in R1, and the Fundamental Theorem of Calculus.
>it has the same topics so it's the same as my shitty math for engineers
analysis is not calculus. if you think you really know all those things, go ahead and try to prove something fundamental, like the fundamental theorem of calculus. (hint: you need concepts of compact sets and uniform continuity which you don't see in calculus)
Helps you understand where ideas are coming from (if it's not a blitzkrieg proof), why things work the way they do, and helps build your solving strategy inventory. Repetition is key to learning. Sometimes there's a concept/idea in the proof that makes your mind click and gives you a deeper understanding of what you're learning; this helps your memorize and be comfortable with the material.
As someone who did 2y of ME before I decided math was more fulfilling, my interest in math is only growing stronger every year. I think to really appreciate math I needed a level of maturity and hindsight I didn't have coming from high school.