- #1
Quadruple Bypass
- 120
- 0
What is the highest course there is in math? i like math, but I am OK at it , and i just really want to see how far i can go in math courses.
What is the highest level of math courses available?
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Discussion Overview
The discussion revolves around the highest level of mathematics courses available, exploring the progression of mathematical education and the concept of a "highest" course in mathematics. Participants share their experiences and knowledge regarding various math courses, including both theoretical and applied mathematics.
Discussion Character
- Exploratory, Conceptual clarification, Debate/contested
Main Points Raised
- One participant questions the existence of a "highest" course in mathematics, suggesting that advanced study, such as a PhD, implies an ongoing journey in the field.
- Another participant provides a list of common undergraduate math courses, including Calculus 1 through 3, Linear Algebra, Differential Equations, Probability and Statistics, Partial Differential Equations, Advanced Linear Algebra, and Real Analysis, noting that the order of difficulty is subjective and relative to personal experience.
- The description of Real Analysis emphasizes its focus on the theoretical aspects of calculus, requiring a solid understanding of mathematical proofs.
- A humorous suggestion is made about a fictional course titled "MAT7999: The Final Math Course," highlighting the absurdity of a definitive endpoint in mathematics.
Areas of Agreement / Disagreement
Participants do not reach a consensus on the concept of a "highest" math course, with differing views on the nature of mathematical progression and the subjective difficulty of courses.
Contextual Notes
The discussion reflects personal experiences and opinions regarding the difficulty and structure of math courses, with no definitive criteria established for ranking courses or determining a "highest" level.
- #2
mattmns
- 1,129
- 5
I don't think there is a "highest" course in math. You can spend years working on a phd in math, and there will still be more.
- #3
Quadruple Bypass
- 120
- 0
what the hell, how did this thread get in the science books thread. lool, oops, sorry.
- #4
erraticimpulse
- 54
- 0
I'll just list a couple courses for applied mathematics:
Calculus 1- Calculus 3
Linear Algebra
Differential Equations
Probability and Statistics
Partial Differential Equations
Advanced Linear Algebra
Real Analysis
It's not an exhaustive list but it hits the more common math courses for undergraduates. However, it's difficult to give an exact order of difficulty. All I can say about it is very much relative to my own experience and nothing more. Nevertheless, I think this list is fairly accurate in terms of difficulty: beginning with calculus I and ending with Real Analysis.
Real analysis is a course you take which focuses on the why and how of calculus more than the actual calculation. You need to have a good background on mathematical proofs and (of course) calculus.
Calculus 1- Calculus 3
Linear Algebra
Differential Equations
Probability and Statistics
Partial Differential Equations
Advanced Linear Algebra
Real Analysis
It's not an exhaustive list but it hits the more common math courses for undergraduates. However, it's difficult to give an exact order of difficulty. All I can say about it is very much relative to my own experience and nothing more. Nevertheless, I think this list is fairly accurate in terms of difficulty: beginning with calculus I and ending with Real Analysis.
Real analysis is a course you take which focuses on the why and how of calculus more than the actual calculation. You need to have a good background on mathematical proofs and (of course) calculus.
- #5
Quadruple Bypass
- 120
- 0
Thanks, I really appreciate it.
- #6
Brad Barker
- 429
- 0
that would be funny if there were a course called:
MAT7999: The Final Math Course
This is the final math course ever. No math after this. At all.
but sadly this does not exist.
MAT7999: The Final Math Course
This is the final math course ever. No math after this. At all.
but sadly this does not exist.