Facing the Challenge:My Freshman Year Majoring Mathematics

In summary: However,the MA here is a bit different from that of other countries.I've found that compared to the book of Rudhin,The textbook here emphasizes less on abstract concepts such as set theory and topology and more on calculus.In summary, this freshman is struggling with the advanced mathematics courses and feels overwhelmed. He is not confident in his ability and does not think that working more homework will help. He seems to have some personal issues that may be hindering his progress.
  • #1
ElemenTHU
4
0
I am in my freshman year majoring mathematics,which I chose independently right after the entrance examination.I really admire the well-constructed logic and symbolic system in math,and I hope to have a good graps of it.

During the first year, I take the mathematical analysis and advanced algebra as two major courses,which are totally different from the simple math in high school.
And that's where my problem lies.
The assignments are beyond my ability at present.And every week,the homework costs me three quarters of my leisure,leaving me little time taking part in other activities.Compared to those who have studied Olympic Mathis at a very young age,I feel like I am nothing.
And my gpa last semester are relatively low,which really drives me in distress.
There are almost unfinished work every week,new assignments to be delayed,and this becomes a dead loop.I don't think my time management is wrong 'cause I have spent so much time in mathematics,but I still can't get it through.
My confidence is badly damaged,and I begin to suspect my initial choice of my major,but I have no intention of transferring my major,as I really want to go further on mathematics.
It's really a contradictory situation for me,when the reality is against my will.
How can I make a progress in mathematics,instead of facing the undone questions ,working nothing out?I don't think a lot of homework can solve my problem.
Is there any possibility that I can catch up with the student who've studied Olympic math and achieving my dream of becoming a mathematician?
Thanks for your reply.
 
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  • #2


What areas of math do you like most? What other subjects or interests do you have?

Perhaps a related major is better such as Physics, Engineering or Comp Sci where you'd use more applied math.
 
  • #3


I've never known any university to offer what seems like senior level courses to freshmen. There are pre-reqs for a reason.

On a more personal level, do you think that maybe you are finally realizing that you have limits? You shouldn't beat yourself up that much, we all have them, whether some of us want to admit it or not.

Plus there is some advice that I sometimes see on this board and that is to not compare yourself to others. You are not them and they are not you so things will always be different.
 
  • #4


What math have you taken before. The two classes you listed freshmen don't usually take without a intro to proofs
 
  • #5


I wouldn't be surprised if the OP goes to a school such as this one. They happen to automatically accept people who have done well on the Olympiads and their entrance exam is very much like a set of Olympiad questions, from what I understand.
 
  • #6


daveyinaz said:
I've never known any university to offer what seems like senior level courses to freshmen. There are pre-reqs for a reason.

xdrgnh said:
What math have you taken before. The two classes you listed freshmen don't usually take without a intro to proofs

Judging from the OP's language, he's likely not from the US. In Europe, courses like mathematical analysis and abstract algebra are freshman courses. At least, they were freshman courses for me. I never took an intro to proofs class either.
 
  • #7


Mépris said:
I wouldn't be surprised if the OP goes to a school such as this one. They happen to automatically accept people who have done well on the Olympiads and their entrance exam is very much like a set of Olympiad questions, from what I understand.

HOLY COW! That's gnarly! The only non-computer/math courses is Humanities I. :rofl:
 
  • #8


I don't know much about what courses American freshmen take,but here,we don't have any pre-reqs,and I think the intro to proofs was learned in high school classes,as there are such stuffs in the textbook.
 
  • #9


You reference "here" like we all know where "here" is.
 
  • #10
daveyinaz said:
I've never known any university to offer what seems like senior level courses to freshmen. There are pre-reqs for a reason.

On a more personal level, do you think that maybe you are finally realizing that you have limits? You shouldn't beat yourself up that much, we all have them, whether some of us want to admit it or not.

Plus there is some advice that I sometimes see on this board and that is to not compare yourself to others. You are not them and they are not you so things will always be different.

Perhaps the MA here is a bit different from that of other countries.I've found that compared to the book of Rudhin,The textbook here emphasizes less on abstract concepts such as set theory and topology and more on calculus.
Plus,it seems that the two courses are taught during the first 3 semester here in every university's math department.
 
  • #11


I am sorry for my ambiguous discription.Well,this is in China.
 
  • #12


Research jobs are extremely hard to get. If you were the top student in your department, I'd still advise you to have a backup plan, not invest your entire sense of self-worth in the goal of going into research, and not to embark on degree unless you feel you will enjoy the process regardless of the outcome. You're not the top student in your department, but that doesn't change my advice -- my advice is exactly the same.
 
  • #13


micromass said:
Judging from the OP's language, he's likely not from the US. In Europe, courses like mathematical analysis and abstract algebra are freshman courses. At least, they were freshman courses for me. I never took an intro to proofs class either.
why does the US have easier curriculum than other countries? I am jw
edit: wow I just looked at the curriculum for imperial college london and complex analysis is a sophomore course there?! That's a graduate course at my university.

... feeling inadequate
 
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  • #14


nickadams said:
why does the US have easier curriculum than other countries? I am jw

Little bit off topic but a short response. Two main reasons 1) Highschool preparation is often inadequate, and 2) Universities often require many 'general education' requirements outside the chosen field of study, which often add at least a year to the length of the degree.
 
  • #15


I don't know why people believe they have to be the next Euler to learn mathematics. Just spend time studying it, and eventually you will learn it. Nobody is going to point and laugh at your proofs because you aren't "Olympic Godlike Status."
 
  • #16


micromass said:
Judging from the OP's language, he's likely not from the US. In Europe, courses like mathematical analysis and abstract algebra are freshman courses. At least, they were freshman courses for me. I never took an intro to proofs class either.

what math classes do you guys learn in high school?? :eek:
 
  • #17


Nabeshin said:
...

inadequate, but also... detrimentally underfunded.

Anyhow, don't give up, and don't rely on others to tell you what you yearn to hear. Truth comes from accepting your flaws and weaknesses first. Only you know yourself truly.

Someone here said that getting a research position was not easy, well, that someone is only half-right. Nothing worth doing is easy. But, research will, and should never, ever, be dictated or controlled by an institution or an organization.

If you are passionate about a field of mathematics or other; commit yourself to learn, bit by bit. You dictate your own research, as long as you keep an elevated level of academic integrity.

In academia, there are all sorts of characters, don't take their word for granted. There are many mediocre minds under the mansard roof. Look beyond labels imposed by society; it is all propaganda. Find truth in the work of the ancients, and the few who pioneered the fields.

Stay on top of your duties. If you're typing on this board, you have the privilege of an internet connection; use it wisely.
 
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1. What challenges did you face during your freshman year majoring in Mathematics?

As a freshman majoring in Mathematics, I faced several challenges. One of the biggest challenges was adjusting to the fast-paced and rigorous coursework. I also struggled with managing my time effectively and balancing my workload with extracurricular activities. Additionally, I found some of the concepts in advanced mathematics courses to be quite challenging and required extra effort to fully understand.

2. How did you overcome these challenges?

To overcome these challenges, I sought help from my professors during office hours and formed study groups with my classmates to work through difficult problems together. I also learned to prioritize my tasks and create a study schedule to stay on top of my coursework. Furthermore, I utilized online resources and practice problems to strengthen my understanding of complex mathematical concepts.

3. What advice would you give to other students majoring in Mathematics?

My advice to other students majoring in Mathematics would be to stay organized and manage your time effectively. It is also important to seek help and clarification when needed, whether it be from professors or classmates. Additionally, don't be afraid to challenge yourself and take on difficult courses, but make sure to also take care of your mental and physical health.

4. How did majoring in Mathematics prepare you for your future career?

Majoring in Mathematics has provided me with strong analytical and problem-solving skills, as well as the ability to think critically and logically. These skills are highly valued in many industries, including finance, technology, and data analysis. Additionally, the rigorous coursework and constant challenges have taught me perseverance and determination, which are essential qualities for any career.

5. What was the most rewarding aspect of majoring in Mathematics?

The most rewarding aspect of majoring in Mathematics was seeing my hard work pay off when I successfully solved a challenging problem or received a good grade on a difficult exam. It was also rewarding to see how my understanding and skills in mathematics grew throughout my freshman year and how it could be applied to real-world problems. Finally, being part of a community of passionate and dedicated mathematicians was a truly enriching experience.

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