Real Analysis 2 a year after Real Analysis 1?

[Hodgey8806]

I'm currently attending university, and I'm comfortable with remembering my math skills. However, I am planning to take Real Analysis 1 in the Spring '12 and then the 2nd course in Spring '13. During that time, I will be taking Advanced Calc, but what do you think?

Do you think this will cause a problem for me? I really don't want to have to change my schedule this late in the semester. But I want an honest opinion. Thanks!

 

[bpatrick]

I'm sure you'll be fine ... just flip through your (or any) old analysis textbook over winter break and re-familiarize yourself with the chapters on metric spaces, limits, differentiation/integration before you start analysis 2 the next year. I'd imagine things will just build on those topics, and it's not like you're going a whole year with no math, just a year off between semesters of analysis, which may actually be beneficial because you'll have a different perspective on some things especially if you're taking an advanced calculus class between that, and who knows what else.

 

[Dembadon]

I'm currently attending university, and I'm comfortable with remembering my math skills. However, I am planning to take Real Analysis 1 in the Spring '12 and then the 2nd course in Spring '13. During that time, I will be taking Advanced Calc, but what do you think?

Do you think this will cause a problem for me? I really don't want to have to change my schedule this late in the semester. But I want an honest opinion. Thanks!

What does the Advanced Calculus course cover? I only ask because I've never seen a consistent description for the title "Advanced Calculus".

 

[bpatrick]

What does the Advanced Calculus course cover? I only ask because I've never seen a consistent description for the title "Advanced Calculus".

I was kinda wondering that too since my undergrad institution didn't offer a course with that title ... but my fiancee's college does, so just FYI, this is what is has to say:

Advanced Topics in Calculus: Multivariate techniques, vector calculus, power series solutions to ordinary differential equations, solutions and theory of systems of linear first-order differential equations, development of Fourier series, numerical methods, and modeling applications.

It seems like this course is making up for the fact that none of this material is covered in any of their standard courses. For example: my undergrad institution covered most of these subjects in courses titled multivariable calculus, differential equations for engineers, partial differential equations and modeling. But my fiancee's college doesn't even offer a class in linear algebra, nor do they have a class called multivariable calculus. Instead (from what I can see by their catalog) they offer a year long sequence of calculus (4 credits x 2 semesters) that covers single and multiple variable differential and integral calculus but omits any topics on series, polar/parametric/spherical calculus, vector analysis, and differential equations. They also have a class called "engineering mathematics" where it seems they cover about half of what a normal linear algebra class covers and also half of what a normal intro differential equations class covers.

Just thought I'd answer that one too even though it has nothing to do with the thread topic.

 

[Matrix0]

I understand the importance of building a strong foundation in mathematics, especially in subjects such as Real Analysis. Taking Real Analysis 1 a year before Real Analysis 2 may present some challenges, but it is not uncommon for students to take a break between courses in a sequence. In fact, taking Advanced Calculus in between the two Real Analysis courses may actually benefit you by reinforcing important concepts and providing additional practice with mathematical reasoning and proof techniques.

However, it is important to keep in mind that Real Analysis is a rigorous subject and requires a strong understanding of calculus and mathematical concepts. It would be beneficial for you to review and practice the material covered in Real Analysis 1 before starting Real Analysis 2, as it will help you retain and build upon your knowledge.

Additionally, I would recommend speaking with your academic advisor or the professor teaching Real Analysis 2 to discuss your concerns and get their opinion on the matter. They may be able to provide you with resources or additional support to help you succeed in the course.

Overall, while it may present some challenges, taking Real Analysis 2 a year after Real Analysis 1 should not be a major problem as long as you are willing to put in the effort to review and practice the material. Best of luck in your studies!