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/sci/ - Science & Math

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10935689 No.10935689 [Reply] [Original]

ITT we write the absolute best math curriculum of all time.
I'll start:
First semester:
>real analysis 1
>linear algebra 1
>combinatorics
>synthetic metric and projective geometry
>directed sets and lattices
Second semester:
>real analysis 2
>group theory
>point-set and pointless topology
>linear algebra 2
>classical number theory

>> No.10935694

>>10935689
First semester-
Group Theory
knot theory
Introduction to formal logic with set theory

Second Semester
Model Theory
Category Theory
Some sort of class on large Cardinals

>> No.10935705

>>10935694
>Second Semester
>Model Theory
>Category Theory
>Some sort of class on large Cardinals
based

>> No.10935710

>>10935689
>>10935694
All of these classes should be taught BEFORE highschool.

>> No.10935724
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10935724

>> No.10935732

>>10935724
troll image
these are all topics that any good highschool should teach
by the time you finish highschool you should have at least 2 PhDs

>> No.10935760

>>10935689
>First Semester:
Introduction to Algebra and Number Theory
Calculus 1
Linear Algebra
Introduction to Logic and Set Theory

>Second Semester
Algebra
Calculus 2
Analytical Geometry
Real Analysis 1
Algorithms and Programming

>Third Semester
Category Theory
Calculus 3
Combinatorics
Topology

>Fourth Semester
Real Analysis 2
Functional Analysis
Group Theory
Elective Course 1

>> No.10935767
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10935767

>>10935689
Kindergarten
>linear algebra
>hairy ball theorem
>postcalculus
>analytical philosophy
Then math educaiton ends. Find one flaw, mathfags.

>> No.10935861

>>10935760
This seems disjointed but I like the first two semesters

>> No.10935868

>>10935767
>maths education ends
found the flaw
education only ends when you're dead

>> No.10935880

>>10935861
I honestly tacked Real Analysis onto it without much thought, should have made them Elective Courses

>> No.10936257

>>10935767
>postcalculus
What the fuck is that?

>> No.10936275

>>10936257
you're not going to ask about the hairy ball theorem or analytical philosophy?

>> No.10936278

>>10936275
Hairy ball theorem says that S^2n admits no non-vanishing vector field.
Analytical philosophy was one of the main strains of philosophy in the twentieth century, was mostly concentrated in England, had an obsession with the shitty parts of maths, and featured autists such as Rusell, Wittgenstein, the Vienna circle, etc.

>> No.10936279
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10936279

>>10936278
>no non-vanishing vector field.
No non-vanishing [math]tangent[/math] vector field.

>> No.10936280

>>10936278
huh, so they were real things, looks like he wasn't shitposting
thanks anone

>> No.10936282

>>10936279
I said S^2n, not S^2n's inclusion in R^3.

>> No.10936283

>>10936282
>what are normal bundles

>> No.10936286

>>10936282
>R^3
Bad habit, R^2n+1.
>>10936283
You call sections of arbitrary vector bundles vector fields?

>> No.10936287
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10936287

>>10936286
>normal bundles
>arbitrary
And yes, they are vector-valued fields.