Questions on first year undergrad math courses

AI Thread Summary
The discussion revolves around the challenges faced in a first-year honors calculus course that focuses on real analysis. The student expresses difficulty with the material and the teaching style of the professor, prompting them to seek supplementary resources like "Calculus" by M. Spivak and "Understanding Analysis" by S. Abbott. There is a consensus that real analysis is inherently challenging, especially for freshmen who may lack prior experience in advanced mathematics. Suggestions include focusing on specific exercises for clarity and not being overly concerned about fitting into a STEM path at this stage. The importance of foundational knowledge in calculus is highlighted, indicating that students who struggled with high school calculus might find this course particularly tough. Overall, the conversation emphasizes the difficulty of the subject and encourages seeking help with specific problems to improve understanding.
oinky
Messages
1
Reaction score
0
It's the middle of the semester of my first year and I'm finding this math course extremely difficult. The course is essentially teaching real analysis and they labeled the course honors calculus. I am finding the professor is not teaching the material well which made me find some supplementary books: Calculus, M Spivak and Understanding Analysis , S Abbott . I guess what I mean to ask is: is it really supposed to be this difficult or should I just not be taking this course, or is it the professor? If it is considered really difficult is there something I can do to help me understand it better? I've been reading quite a bit but when I go to the exercises I sometimes don't know where to start. A big problem is when I understand the questions and know the answers but can't turn my thoughts into a proof. Any thoughts appreciated thank you.
 
Physics news on Phys.org
I'm not sure what kind of answers you expect to get. How can we (strangers from the interwebz) say anything about the quality of your professor??

Did you do well in calculus in high school? Did you even take calculus in high school? If not, you're probably in the wrong class.

Edit - sorry if that sounds harsh. Welcome to PF, you can get a lot of help here if you can ask specific questions. Maybe take one of the exercises giving you trouble, and work your way through it in a separate thread here.
 
If you're worried that you aren't cut out for STEM or something, I wouldn't sweat it too much. It sounds like you've been benefiting from the use of an actual analysis textbook, and so I would guess that it's just a lot for a freshman without experience in upper level math classes to digest.
 
Yes, analysis is supposed to be difficult. It's probably the most difficult class many math majors take.
 
  • Like
Likes Bong_Nebula
Hey, I am Andreas from Germany. I am currently 35 years old and I want to relearn math and physics. This is not one of these regular questions when it comes to this matter. So... I am very realistic about it. I know that there are severe contraints when it comes to selfstudy compared to a regular school and/or university (structure, peers, teachers, learning groups, tests, access to papers and so on) . I will never get a job in this field and I will never be taken serious by "real"...
Yesterday, 9/5/2025, when I was surfing, I found an article The Schwarzschild solution contains three problems, which can be easily solved - Journal of King Saud University - Science ABUNDANCE ESTIMATION IN AN ARID ENVIRONMENT https://jksus.org/the-schwarzschild-solution-contains-three-problems-which-can-be-easily-solved/ that has the derivation of a line element as a corrected version of the Schwarzschild solution to Einstein’s field equation. This article's date received is 2022-11-15...
Back
Top