Taking modern algebra, real analysis, and diffeq's

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Discussion Overview

The discussion revolves around the feasibility of taking modern algebra, real analysis, and differential equations simultaneously. Participants explore the time commitment required for each subject and share experiences related to course difficulty and scheduling conflicts.

Discussion Character

  • Debate/contested
  • Technical explanation
  • Conceptual clarification

Main Points Raised

  • Some participants express concern about the difficulty of algebra, noting that it is often considered the most challenging course for math majors, with homework taking 20-30 hours a week.
  • Others mention that at their institution, it is possible to take all three courses simultaneously if prerequisites are met, although scheduling conflicts may arise.
  • A participant suggests that the time required for a differential equations course depends on one's proficiency with calculus.
  • There is a discussion about the variability in difficulty of real analysis courses, particularly depending on the textbook used, with some suggesting that a course using Rudin's text may require significant time commitment to understand the material.
  • Some participants recommend consulting with those who have previously taken the courses to gauge the teaching style and difficulty level of the instructors.
  • One participant shares a positive experience taking introductory analysis alongside a course in Rings and Galois Theory, indicating that it is possible to manage multiple advanced courses effectively.

Areas of Agreement / Disagreement

Participants express differing views on the feasibility of taking the three courses simultaneously, with some asserting it can be done while others highlight potential challenges. There is no consensus on the exact time commitment or difficulty levels for each course, as experiences vary widely.

Contextual Notes

Participants note that the difficulty and time requirements for courses can depend heavily on the specific university, instructor, and chosen textbooks, leading to uncertainty in generalizing experiences.

Who May Find This Useful

Students considering advanced mathematics courses, particularly those interested in modern algebra, real analysis, and differential equations, may find this discussion relevant.

vinnie
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simultaneously. Can it be done? How many hours are spent outside of class in each subject?
 
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Sounds like a huge kick in the butt. At my university, algebra is the most difficult course for math majors. I have heard from other students that the homework alone takes 20-30 hours a week, and very few people get above a C since it isn't curved. I also know that at my university you can't take all of these simultaneously since they are offered at conflicting times...
 
cwatki14 said:
Sounds like a huge kick in the butt. At my university, algebra is the most difficult course for math majors. I have heard from other students that the homework alone takes 20-30 hours a week, and very few people get above a C since it isn't curved. I also know that at my university you can't take all of these simultaneously since they are offered at conflicting times...

it's allowed/possible at my school... as long as the prereqs are met. What about the other two classes? How many hours for each of those?
 
A first course in differential equation should be fairly standard, and I think how much time it requires really depends on your facility with calculus computations.

The difficulty of a real analysis course can vary a lot. For one, an instructor can choose to do basic analysis on a very abstract framework. If your course uses a textbook such as Rudin's Principles of Mathematical Analysis, there is a rather high level of abstraction from the very beginning. You will be introduced to limiting arguments via metric topology and will work with this framework throughout the text. Expect to spend 25-30 hours a week if you want to grasp all the details in such a course. Actually I think the textbook for the course is probably a pretty good indicator of what your teacher will expect from you.
 
Ask people who have already taken the course with the same instructor. None of us have any clue as to how the instructors do the course. Most courses can be dumbed down to the point the class is near worthless, and every class can be made hard enough to be impossible to pass.
 
snipez90 said:
A first course in differential equation should be fairly standard, and I think how much time it requires really depends on your facility with calculus computations.

The difficulty of a real analysis course can vary a lot. For one, an instructor can choose to do basic analysis on a very abstract framework. If your course uses a textbook such as Rudin's Principles of Mathematical Analysis, there is a rather high level of abstraction from the very beginning. You will be introduced to limiting arguments via metric topology and will work with this framework throughout the text. Expect to spend 25-30 hours a week if you want to grasp all the details in such a course. Actually I think the textbook for the course is probably a pretty good indicator of what your teacher will expect from you.

It appears they are using Gordon's Real Analysis: A first course.
 
Of course it can be done. Why not? The three courses' content are almost disjoint. Besides, no one knows what the course are like exactly, since this depends on the university and teacher.
 
Landau said:
Of course it can be done. Why not? The three courses' content are almost disjoint. Besides, no one knows what the course are like exactly, since this depends on the university and teacher.

That sounds encouraging. how were your abstract algebra and analysis classes when you took them?
 
I followed an Introductory Analysis class together with a course in Rings and Galois Theory (and other courses). It went good, I liked both courses very much.
 

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