Intro to analysis, intro to real analysis I, numerical analysis

Click For Summary

Discussion Overview

The discussion revolves around the differences between the courses "Intro to Analysis," "Intro to Real Analysis I," and "Numerical Analysis." Participants seek to understand the distinctions and overlaps among these courses to make informed decisions about course selection for the upcoming semester.

Discussion Character

  • Exploratory
  • Debate/contested
  • Homework-related

Main Points Raised

  • Some participants propose that Numerical Analysis focuses on numerical approximations for analytically unsolvable problems, while Real Analysis deals with real numbers and functions.
  • Others argue that Real Analysis is a branch of Pure Mathematics, contrasting with Numerical Analysis, which is viewed as part of Applied Mathematics.
  • A participant suggests that the best way to understand the differences is to review the syllabi for each course.
  • Concerns are raised about the lack of course descriptions on university websites, with one participant sharing a link to a university catalog as a potential resource.
  • Another participant mentions the challenge of transferring credits from online courses to a different university, emphasizing the need for clarity on course equivalency.
  • Some participants discuss the process of obtaining approval for transferring courses, including the use of a "Transient Permission Form" to evaluate course equivalency.
  • One participant expresses frustration over the uncertainty of which external courses would be transferable, highlighting a "Catch 22" situation.

Areas of Agreement / Disagreement

Participants express differing views on the distinctions between the courses, and there is no consensus on which course to choose or how they compare. The discussion remains unresolved regarding the best approach to selecting courses based on their content and transferability.

Contextual Notes

Participants note the potential overlap between the courses and the variability in course content across different institutions, which may affect their decisions. The discussion also highlights the importance of syllabi in understanding course structure and content.

TracieBosket
Messages
4
Reaction score
0
Hello,
Is there a difference from these courses, or are they the same course with different names? I need to know which one to choose for the upcoming semester...
Intro to Analysis, Intro to Real Analysis I, and Numerical Analysis
Thank you,
Tracie
 
Physics news on Phys.org
TracieBosket said:
Hello,
Is there a difference from these courses, or are they the same course with different names? I need to know which one to choose for the upcoming semester...
Intro to Analysis, Intro to Real Analysis I, and Numerical Analysis
Thank you,
Tracie

Numerical Analysis is related to finding numerical approximations to analytically unsolvable differential equations, integrals , etc..

Real Analysis is concerned with studying real numbers and real-valued functions.

Real Analysis is a branch of Pure Maths whereas Numerical Analysis is generally considered in Applied Maths.
 
Last edited:
  • Like
Likes   Reactions: FactChecker
Buffu said:
Numerical Analysis is related to finding numerical approximations to analytically unsolvable differential equations, integrals , etc..

Real Analysis is concerned with studying real numbers and real-valued functions.

Real Analysis is a branch of Pure Maths where Numerical Analysis is generally considered in Applied Maths.
And for the course "Intro to Analysis", it would be best if you showed us the syllabus.
 
  • Like
Likes   Reactions: WWGD
FactChecker said:
And for the course "Intro to Analysis", it would be best if you showed us the syllabus.
Each of these ( and just-about every other Math subfield) is incredibly vast with a possible good amount of overlap. Best way is to do what Fact Checker here suggested to be able to find a reasonable answer to your question..
 
TracieBosket said:
Is there a difference from these courses, or are they the same course with different names? I need to know which one to choose for the upcoming semester...
Intro to Analysis, Intro to Real Analysis I, and Numerical Analysis
Does your university's catalog or website have no descriptions at all for these courses? For example, the University of Michigan has this:

https://lsa.umich.edu/math/undergraduates/undergraduate-math-courses/300-level-math-courses.html

Click on the "+" sign next to a course name to see its description and prerequisites. Or click on one of the other sets of courses listed at the left side.

In the US, I would be astonished to find a university or college that does not have something like this. I don't know about other countries, though...
 
Last edited:
Buffu said:
Numerical Analysis is related to finding numerical approximations to analytically unsolvable differential equations, integrals , etc..

Real Analysis is concerned with studying real numbers and real-valued functions.

Real Analysis is a branch of Pure Maths whereas Numerical Analysis is generally considered in Applied Maths.

Ah, thank you!
 
jtbell said:
Does your university's catalog or website have no descriptions at all for these courses? For example, the University of Michigan has this:

https://lsa.umich.edu/math/undergraduates/undergraduate-math-courses/300-level-math-courses.html

Click on the "+" sign next to a course name to see its description and prerequisites. Or click on one of the other sets of courses listed at the left side.

In the US, I would be astonished to find a university or college that does not have something like this. I don't know about other countries, though...
The challenge is that I need to take some classes from a university that offers online classes, to transfer to a different university that does not have online courses. I looked at the syllabi, everything looks similar, but some things look different. I want to make the best decision I can in order to take the correct ones.
 
TracieBosket said:
The challenge is that I need to take some classes from a university that offers online classes, to transfer to a different university that does not have online courses. I looked at the syllabi, everything looks similar, but some things look different.
So you want to receive credit for specific courses at your university, by taking (hopefully) equivalent courses at another university? There should be someone at your university that decides how closely the courses correspond to each other, and whether you should receive credit for them. It's probably not up to you!

At the small college where I used to teach, it's the appropriate department chairman who makes those decisions. When a student wants to take a course somewhere else over the summer, or online, he/she fills out a "Transient Permission Form" that lists the course names and numbers "here" and "there", asks the dept. chair (math in your case) to evaluate the course "there" and sign the form, and then submits it to the registrar. Sometimes the registrar gets it first and forwards it to the dept. chair. Either way, the dept. chair has to evaluate the course. I had to do a lot of these during my turns as physics dept. chair.

Different colleges and universities do these things differently, so you need to find out how it's done at your university.
 
  • Like
Likes   Reactions: FactChecker
jtbell said:
So you want to receive credit for specific courses at your university, by taking (hopefully) equivalent courses at another university? There should be someone at your university that decides how closely the courses correspond to each other, and whether you should receive credit for them. It's probably not up to you!

At the small college where I used to teach, it's the appropriate department chairman who makes those decisions. When a student wants to take a course somewhere else over the summer, or online, he/she fills out a "Transient Permission Form" that lists the course names and numbers "here" and "there", asks the dept. chair (math in your case) to evaluate the course "there" and sign the form, and then submits it to the registrar. Sometimes the registrar gets it first and forwards it to the dept. chair. Either way, the dept. chair has to evaluate the course. I had to do a lot of these during my turns as physics dept. chair.

Different colleges and universities do these things differently, so you need to find out how it's done at your university.

Exactly, that is the second problem I am running into. They don't want to review the external courses until I try to transfer them. But the catch is that I don't know which external courses I should take so they will be transferable. A Catch 22. That's why I was trying to self-evaluate to see if the external syllabi matched as close as possible as the home university's syllabi. The form you mentioned "Transient Permission Form" is a great idea. I will email this idea to my university.
Wow, thanks!
 

Similar threads

  • · Replies 4 ·
Replies
4
Views
2K
  • · Replies 1 ·
Replies
1
Views
583
  • · Replies 31 ·
2
Replies
31
Views
4K
  • · Replies 6 ·
Replies
6
Views
2K
  • · Replies 3 ·
Replies
3
Views
2K
Replies
41
Views
9K
  • · Replies 1 ·
Replies
1
Views
9K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 2 ·
Replies
2
Views
3K
Replies
4
Views
2K