Can I take analysis only? without calculus?

In summary, the conversation is about the necessary prerequisites for taking the Analysis I course at a university. The course is a theoretical course in calculus that emphasizes proofs and techniques, and has specific prerequisites of MCV4U and MHF4U. The exclusion indicator means that once you complete this course, you cannot take a similar course for credit. It is common to take calculus courses before taking analysis, and the use of Spivak's textbook in the course does not require prior knowledge of vectors. However, it is recommended to take a linear algebra course to learn about vectors from the ground up.
  • #1
hamsterpower7
43
0
Hi, I am studying calculus right now (by myself)
When I go to university, is it necessary to take the calculus course to take analysis?

the course description said:


MAT157Y1 Analysis I[72L/48T]
A theoretical course in calculus; emphasizing proofs and techniques, as well as geometric and physical understanding. Trigonometric identities. Limits and continuity; least upper bounds, intermediate and extreme value theorems. Derivatives, mean value and inverse function theorems. Integrals; fundamental theorem; elementary transcendental functions. Taylors theorem; sequences and series; uniform convergence and power series.

Prerequisite: MCV4U, MHF4U
Exclusion: MAT137Y1
Distribution Requirement Status: This is a Science course
Breadth Requirement: The Physical and Mathematical Universes (5)

does exclusion mean I can't take that course?
 
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  • #2
What are pre-requisites MCV4U and MHF4U?

Also, I would say YES--you need calculus as a foundation for all upper-level mathematics IMO.
 
  • #3
those are grade 12 courses in high school (canada)
 
  • #4
Hello. I'm a student at this university ( I recognize the course description ) and you can take this course on your first year (without any prerequisite other calculus courses). In fact if you are hoping to become a math specialist you are required to take this course over other calculus courses.
This course isn't concerned with "true analysis", this is just a "taste of analysis". For example, you will not see metric spaces, topology.. et c. It is just a rigorous version of calculus; so it is still a "calculus" course.

The exclusion indicator means that you cannot take the exclusion course after you have completed the course you are looking at. For example, if you finish 157, you cannot take 137 ( at least not for a credit )
 
  • #5
You are presumably going to college, yes?

That said, i think it is a fair deduction that you will be studying something technical (physics/math/engineering), is this right?

If so...calculus will be required for your degree in all likelyhood, so i don't see the problem.

Also, your actual question is about the "exclusion"; something unique to the institution offering this course. I have never heard of this, and it is likely that many others not going to this school share my lack of knowledge. I would contact the university...

edit: I just read the post above me ><
 
  • #6
wisvuze said:
The exclusion indicator means that you cannot take the exclusion course after you have completed the course you are looking at. For example, if you finish 157, you cannot take 137 ( at least not for a credit )

aha thank you
Do many others just skip calculus and take analysis first?
is it common to take 135H1 and 136H1 (calculus that is not on the exclusion list) along analysis?

I was worried because the textbook they use in the course is spivak and I had a look at it
they don't seem to teach vectors, may be they are assuming you know them by high school
just wanted to make sure
 
  • #7
hamsterpower7 said:
aha thank you
Do many others just skip calculus and take analysis first?
is it common to take 135H1 and 136H1 (calculus that is not on the exclusion list) along analysis?

I was worried because the textbook they use in the course is spivak and I had a look at it
they don't seem to teach vectors, may be they are assuming you know them by high school
just wanted to make sure

Like I said, MAT157 is not an analysis course (despite the name), it is still a "calculus course". Your first actual analysis course will be MAT357 ( Real Analysis I ) or maybe MAT257 depending on how it is taught that year. MAT157 is a calculus course, there is no reason to take MAT135 along with MAT157 as you would be redundantly taking two calculus courses at once.. The only difference is MAT157 is supposed to be the more difficult version of calculus. You will cover derivatives, integrals, limits, continuity, series, sequences from scratch ( no previous knowledge assumed ).
You will learn about vectors from scratch as well if you take a linear algebra course ( preferably MAT240, then MAT247 ). Everything you learn will be from the ground-up, so no knowledge is assumed from high school ( you will learn everything differently anyway).
 
  • #8
Thank you so much :) much appreciated
good luck in your study
 

1. Can I still understand analysis without knowing calculus?

While calculus is a prerequisite for most analysis courses, it is possible to learn and understand analysis without prior knowledge of calculus. However, it may require more effort and time to fully grasp the concepts.

2. Is analysis more difficult than calculus?

Analysis and calculus are both challenging subjects, but they require different types of thinking. Analysis focuses on rigorous proofs and abstract concepts, while calculus is more application-based. Some students may find one subject more difficult than the other depending on their strengths and interests.

3. Can I skip calculus and go straight to analysis?

In most cases, it is not recommended to skip calculus and go straight to analysis. Calculus provides the foundation for many topics in analysis and skipping it may make it difficult to understand and apply the concepts in analysis courses.

4. What are some examples of topics covered in analysis?

Some common topics in analysis include sequences and series, continuity, differentiation, integration, and metric spaces. These concepts are studied in depth and often involve rigorous proofs and logical reasoning.

5. How can I prepare for an analysis course without prior knowledge of calculus?

If you do not have knowledge of calculus, it is recommended to start by studying basic algebra and trigonometry. You can also find online resources or textbooks that cover the fundamentals of calculus, such as limits, derivatives, and integrals, to prepare for an analysis course.

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