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/sci/ - Science & Math

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7187875 No.7187875 [Reply] [Original]

What subjects and topics do you believe should be the standard requirement in the undergrad/graduate curriculum of your field/major? Similarly, what electives do you think are the most important or worthwhile?

I'm curious to see what /sci/ thinks is important

>> No.7187882

For physics: classical mechanics should be required.

For chemistry: intro chem should be required

For math: calculus should be required


This is a dumb thread

>> No.7187886

For all courses:

Calc I-III
Diff Eq
Linear Algebra
Analysis
Classical Mechanics
Eletromagnetism
Quantum Mechanics
General and Special Relativity

>> No.7187889

>>7187882
>math
>requiring calculus

????

if anything you should NOT take calculus, and instead start with an introductory analysis class

>> No.7187892

>>7187882
>freshman detected

Different schools have different requirements.

Should all math majors be required to take Topology? Should all chemistry majors be required to take Biochemistry? Should all physics majors be required to take Special and General Relativity? Some school do and others don't...

>> No.7187900

>>7187886
jesus no. you can't make every major take these classes. if by classical mechanics you mean physics 1 and by electromagnetism you mean a standard physics 2 as well as a beginner calculus-based QM then it's fine. if you mean the more advanced counterparts you're insane

>> No.7187903
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7187903

>> No.7187906

>>7187892
Yes, No, Yes

>> No.7187908

>>7187889

Everyone hates that one kid that can't find the flux of a vector field through a surface but can prove Ascoli's theorem. You still need to still know how to apply stuff in math.

Suck it up

>> No.7187910

>>7187889
finally someone gets it

>> No.7187911

>>7187908
I am that kid.

>> No.7187912

>>7187908
Your argument is "people will hate you"? You can still do analysis-based applied math study if you're so anal about the mundane.

>> No.7187913

>>7187911
and nobody likes you. and you're useless to anybody living in reality. you're literally worthless

>> No.7187914

>>7187911
Hey, kid, everyone hates you.

>> No.7187915
File: 36 KB, 551x700, 1419702763500.png [View same] [iqdb] [saucenao] [google]
7187915

>>7187900
You're right, we have to solve the problem much earlier.

>> No.7187919

>>7187913
damn why the hate brah

>> No.7187926

For Computer Science:

Java Programming
Databases
Introduction to Social Skills and Hygiene
Video Game Design
Advanced IT Support Techniques
High School Algebra Revisited

>> No.7187931

>>7187886

Calculus I&II
Vector Calculus
Ordinary Differential Equations
Applied Linear Algebra
Proofs and Abstract Math
Probability and Statistics

University Physics I-III
General Chemistry I&II
Circuits and Electronics
Programming and Data Structures
Computer Architecture
Macroeconomics and Microeconomics

>> No.7187939

>>7187900
>beginner calculus-based QM
>useful
right...

>> No.7187950

>>7187915
If you require anything higher than Calculus in American schools then the first result is that 1/3rd or more of inner-city students are going to fail out of school, and there will be riots in the streets since the majority of people who fail are low income or minorities. It would be a disaster.

>> No.7187955

>>7187875
CS grad should require a pure math BA.

CS undergrad should be renamed to software engineering.

>> No.7187968

>>7187950
The whole idea with that plan is that completing highschool actually means something.

If you're not good enough, maybe you're just going to have to settle for the 7th grade and deal with it.

>> No.7187977

>>7187915
>Philosophy that early
No. I agree with Socrates when he claimed that teaching philosophy too early can lead to rigid thinking and divisive behavior. I'm not saying we shouldn't teach ANY philosophy, but I think Ethics would be the best way to go. Especially since most people think about ethics and ethical problems fairly often anyway, good to give them some deeper understanding.

>> No.7187987

>>7187919
Because you can't into basic E&M, that's why, u litl shit

>> No.7187994

>>7187950
>first result is that 1/3rd or more of inner-city students are going to fail out of school

And... what? It's not like they are going to learn less, hell they might learn <span class="math">more[/spoiler] before dropping out.
http://www.oregonlive.com/education/index.ssf/2012/03/predominantly_african_american.html

>> No.7188023

>>7187977
>>Philosophy that early
>18 year olds

What?

>> No.7188045

For math:
Groups, rings and fields, set theory, logic, analysis, topology, ODEs and PDEs and linear algebra, pretty standard stuff.
But then some other things can help a lot but aren't standard for most undergrad programs: lattice theory, categories, universal algebra, model theory and abstract measure theory (like measure algebras and stuff, not just developing measures to do analysis).

>> No.7188081

>CS
>Should be Required

C++ Coding
Data Structures
Programming Paradigms
Computer Architecture
Operating System Theory
Advanced System and Network Programming
Vector Calculus
Probability
Statistics
Combinatorics and Graph Theory
Algorithms
Computability and Complexity Theory
Programming Languages
Compilers

>Electives

Parallel Programming
Networks and Communication Systems
Image Processing
Computer Graphics
Computer Vision
Artificial Intelligence
Cryptography
Numerical Analysis
Kernel and Driver Development
Reverse Engineering
Software "Engineering"
Combinatorial and Linear Optimization

>> No.7188087

>>7187955
>CS undergrad should be renamed to software engineering.

only at shit schools is this true, i.e. yours

>> No.7188106

>>7187908
not that guy but...
>disregard flux computations, acquire proofs

>> No.7188107

>>7187931
I agree with this, minus the economics fluff.

Any major that wants to be declared part of STEM should be required to have this as their "core" classes instead of freshman composition or whatever.

Add in a foreign language though.

>> No.7188112

>>7187915

>Teaching modulo without division
>Encouraging mass suicide of children in the 6th grade and from 8th grade onward
>No writing courses
>No history till 10th grade
>No language courses
>Expecting the current teachers we have to be able to teach any of this
>Expecting the government to pony up the money you'd need to get professors to teach 14 year olds things like computer architecture and 11 year olds proofs and combinatorics

We tried new math once before during the cold war. Suggesting that we try it again fails to acknowledge we don't have the basis as a society to make it work.

>> No.7188114

>>7188107
What would count as university physics?

>> No.7188118

My university requires chemistry majors to take

General chemistry I and II
Physics or Bio physics I and II
Calculus I
Calculus II or linear algebra

Then electives. That's for first year though.

>> No.7188143

>>7188114
Kinematics, Mechanics, Optics, Waves, Fluids, Thermodynamics, E&M, Circuits, Special Relativity, QM, Nuclear Physics and Particles.

>> No.7188146

>>7188143
lel thats like 7-8 different courses

>> No.7188206

>>7188146
http://www.pearsonhighered.com/pearsonhigheredus/educator/product/products_detail.page?isbn=9780805321876
>Table of Contents

>Mechanics
Units, Physical Quantities, and Vectors
Motion Along a Straight Line
Motion in Two or Three Dimensions
Newton's Laws of Motion
Applying Newton's Laws
Work and Kinetic Energy
Potential Energy and Energy Conservation
Momentum, Impulse, and Collisions
Rotation of Rigid Bodies
Dynamics of Rotational Motion
Equilibrium and Elasticity
Gravitation
Periodic Motion
Fluid Mechanics

>Waves/Acoustics
Mechanical Waves
Sound and Hearing

>Thermodynamics
Temperature and Heat
Thermal Properties of Matter
The First Law of Thermodynamics
The Second Law of Thermodynamics

>Electromagnetism
Electric Charge and Electric Field
Gauss's Law
Electric Potential
Capacitance and Dielectrics
Current, Resistance, and Electromotive Force
Direct-Current Circuits
Magnetic Field and Magnetic Forces
Sources of Magnetic Field
Electromagnetic Induction
Inductance
Alternating Current
Electromagnetic Waves

>Optics
The Nature and Propagation of Light
Geometric Optics and Optical Instruments
Interference
Diffraction

>Modern Physics
Relativity
Photons, Electrons, and Atoms
The Wave Nature of Particles
Quantum Mechanics
Atomic Structure
Molecules and Condensed Matter
Nuclear Physics
Particle Physics and Cosmology

>> No.7188218

>>7188206
you will have the most basic and mediocre understanding of everything but basic mechanics from something like that if that's a supposed to be a single course. you need to take legitimate courses like
>phys 1: mechanics
>phys 2: electromagnetism
>modern phys
>thermodynamics
>circuit analysis
>fluid dynamics
and that's lumping in intro QM with special relativity, and optics in with electromagnetism

>> No.7188220

>>7188206
Most of the mechanics part was covered on my statics/dynamics course, the rest on solid mechanics and fluid mechanics courses.

Vibrations and waves on mechanical vibrations.
Thermodynamics and heat transference cover that I believe. I also took a course on electromagnetism that briefly covered what you mentioned. I got very little on modern physics and optics. How shitty is that for Mechanical Engineering?

Well also I took some other courses related to fluid mechanics and thermodynamics.

>> No.7188226

>>7188045
>set theory
Really? I like set theory, but most programs don't even have a set theory class.

Learning to take unions and intersections isn't set theory.

And ODEs/PDEs are too specific and useless for most fields.

>> No.7188246

>>7188218
>you will have the most basic and mediocre understanding of everything but basic mechanics from something like that

Yeah, it's FRESHMAN intro physics for a first exposure to all those topics.

>> No.7188255

>>7188246
thats completely useless without fundamental stuff like the math you need to do the shit. it's pointless spending like 1 lecture per subject to do nothing but introduce a topic that students cant even fully understand. how fucking dumb. and then you have kids take it and think they understand a bunch of shit about science because their "uni physics" class but they don't know a fucking thing. it's literally like a course taught by /sci/

>> No.7188266

>>7188112

fine. the supplemental classes:

1-4
>Latin or Greek
>Choice of stringed, brass, percussion, or wind instrument; any choir kids will have to do it in addition to, not instead of, an instrument.
>Ancient history (pre-Industrial Revolution) with a focus on the big four: Mediterranean & European, Asian, Middle Eastern, and then either continental American (north & south) or continental African, since both of them had multiple empires but little to no recorded histories.
>Physical Education: A guided recess hour. Laps of the track or field at a walk or run, kicking balls to each other, throwing balls to each other.

5-8:
>Spanish, French, or German
>Band and Orchestra tryouts, option to form smaller groups for vocalists/the kids who like electric guitar, children with no musical aptitude can choose to double up on PE
>Physical Education: 50% classroom component. Will cover nutrition, basic human anatomy/systems of the body with a focus on the practical, a group dissection (with intro to lab procedures and equipment), and finally a comprehensive sex ed. 50% mandatory physical activity: solitary sport (archery, etc), group sport (dance, gymnastics, etc) or a miscellaneous group activity such as learning various styles of martial arts.
>Pre-Modernity History: covering from the Industrial Revolution up until WW1. A focus on colonialism (before & after) and the rapid progression of the sciences.

8-12:
>Arabic, Chinese, or Russian
>PE: students can at last join a conventional competitive team sport, or opt out of their PE requirement by joining a different school team (chess, mathletes, debate, model UN, robotics, et cetera).
>Musical education will continue, but admission to the school band or orchestra will be more limited. Those who don't make the cut can pick up an elective in a different practical art: glassblowing, welding, metallurgy, et cetera.
>History: WW1 to modern day, with a focus on the economic analysis of politics.

>> No.7188285

>>7188266

Some amount of Biology and Chemistry should be introduced at the mathematically appropriate stages, of course.

For 8-12 I think it should also be possible to take the equivalent of AP Psychology and AP Literature, as well as the option to spend a semester in prep for another AP or CLEP exam, but these would be electives. More that come to mind: classes on essay and grant writing, basic domestic skills, driving, financial awareness, voter registration and municipal government, and so on. Some students will already know how to manage their money or cook for themselves, depending on background, which is why these would be elective.

>> No.7188295

>>7188226
Actually my university doesn't require set theory, you're probably right.
ODEs and PDEs are just as useless to algebraists as categories are to PDEists, but you can't call yourself a mathematician if you don't know Picard's existence theorem or can't prove basic results about harmonic functions.
Also you gotta know the basics of the main fields, it's math culture, you shouldn't learn only what you think you're going to work with in the future.

But there's much more: complex analysis, combinatorics, number theory, differentiable manifolds, etc.
I think it's possible to learn the basics of all this and more in 4 years so you can choose what you'll be doing in your phd.

>> No.7188297

>>7188255

Physics is taught iteratively, you revisit the same topics with more mathematics each time.

Are you in high school or some shit?

>> No.7188302

>>7188297
lel you're retarded. stop trying to make your shitty phys class sound less ridiculous.

>> No.7188306

>>7188112
>>No language courses

Required language courses are fucking TERRIBLE as they never have languages you are interested in. They should be after school programs with free busing to other schools that have different languages.

>> No.7188308

>>7188112
>>Teaching modulo without division

You never learned how to tell time until 4th grade?

>> No.7188309

>>7188302
Every single university requires intro physics for all physics, engineering, and chemistry majors.

>> No.7188312

>>7188309
yeah, it's a basic calc based mechanics course. it doesn't overextend itself with all that bullshit. there are other courses for that

>> No.7188322

>>7188087
My school is a top European uni. You are a retarded CS major.

>> No.7188327

>>7187875
For Math:

Calculus
Vector Calculus
Matrix Algebra
Ordinary Differential Equations
Physics 1-3
Proofs and the Art of LaTeX
Mathematical Logic (Basically Proof II and goes a long way to understanding what you're doing)
Probability Theory
Linear Algebra (Vector Spaces)
Complex Variables
Point-set Topology
Abstract Algebra (At the level of Artin)
Real Analysis (Baby Rudin)
Analysis on Manifolds and Differential Forms
History of Mathematics

>Electives

Geometry
Differential Geometry
Algebraic Topology
Combinatorics
Graph Theory
Set Theory
Numerical Analysis
Fourier Analysis
Complex Analysis
Measure Theory
Functional Analysis
Partial Differential Equations
Number Theory
everything else not listed

>> No.7188331

>>7188312
That's just semester 1, that topic list is for all 3 semesters.

>> No.7188336

>>7188331
you still need a thermo course, fluids course, circuits course, and nuclear/particle phys course

>> No.7188361

>>7188336
Yes and 2 Mechanics, E&M, and Quantum courses.

>> No.7188375

>>7187915
>>7188266
I wish I learned in this education system.

>> No.7188420

>>7188295
>ODEs and PDEs are just as useless to algebraists as categories are to PDEists,
This is quite false, as category theory does in fact have some (if limited) applications in analysis.
>it's math culture
You don't know jack shit about math culture.

>> No.7188425

>>7188327
>Mathematical Logic (Basically Proof II
Stop posting.

>> No.7188428

>>7188425
Well it is.

>> No.7188433

>>7188425
https://en.wikipedia.org/wiki/Proof_theory

>> No.7188449
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7188449

>>7187886
>Calc I-III
>Diff Eq
>three courses for calculus
>calculus and differential equations are separate
pic related

>> No.7188461
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7188461

>>7188266
>group sport
>dance, gymnastics, etc

>> No.7188464

>>7188461

The point is to force the children to develop fine motor skills and reveal the developmentally stunted ones early on. It's one of the few early indicators of retardation.

Team sports that involve actual competition are reserved for high school, when the neurological rewiring of adolescence and the chance of a sports scholarship makes them the most valuable.

>> No.7188474

Programming languages used to be a pretty common, important component of Computer Science degrees until the ACM moved away from it in the early 2000s. I'd like to see it brought back.

The most important move for Computer Science will be the eventual split of the degree into Computer Science and Software Engineering. It's inevitable.

>> No.7188476

>>7187892
>Should all chemistry majors be required to take Biochemistry
If you ask me, yes.

>> No.7188490

>>7188461
I really, really, really like this picture.

>> No.7188505

>>7188474
Programming needs to be more standard than it does from a societal standpoint.

However, no complaints here since it will make me a more valuable employee.

>> No.7188509 [DELETED] 

>>7188505

Anyone can master the art of code monkey-ology. You're skills are worthless.

>> No.7188511

>>7188505

Anyone can master the art of code monkey-ology. Your skills are worthless.

>> No.7188527

>>7188474
Programming languages shouldn't be taught explicitly after the first semester. And CS shouldn't even be an undergrad, the field is just to big, even if you remove SE.

>> No.7188541

>>7188527
I don't think we're talking about the same thing. I mean stuff like:
>semantics
>type systems
>compilers, compiler engineering
>paradigms
>theoretical foundations, lambda calculus
>grammars
>verification

Not
>learn x, y, z languages

>> No.7188547

>>7188505
This is why I want it to split. One of half of computer science needs the theory and abstract Mathematical reason, while another half are mostly concerned with designing and implementing. If they shed each other and courses are allowed to focus on one or the other, we can avoid the awkward mix we have now.

>> No.7188559

>>7188541
Still, this is too focused, I'd be a great supplement for a maths program but for CS as a whole it is too one sided. Which is why they gave it up, the field moved on and most research and development is done in other fields.

Even though it is really a shame that nearly nobody learns lambda calculus anymore

>> No.7188578

>>7188559
>but for CS as a whole it is too one sided

The fuck are you talking about? PL Theory links the abstract theory of computation with the practical/systems side of Compiler Engineering. It's perfect for rounding out CS education and putting everything into perspective.

>> No.7188587

>>7188578
It doesn't help you much for machine learning, robotics, simulation, IT-security beyond formal verification, complexity theory, computer graphics, distributed systems, embedded systems, most of NLP.
It's good for programming language development and a one-sided view on discrete mathematics, CS doesn't focus on languages and operational systems anymore, this isn't 1990

>> No.7188593

>>7188587
>CS doesn't focus on operational systems anymore

You're an idiot

>> No.7188634

Aero engineering:
-Fluid mech
-Structures
-Materials
-Math (Calc IV/ODEs and PDEs/Linear algebra/"Complex analysis")
-Classical mechanics
-Business management
-Circuit analysis
-CAD
-Thermo

>> No.7188968

>>7188420
Most algebraists know basic facts about ODEs and PDEs whil most PDEists don't know basic facts about categories.
ODEs and PDEs also have applications in algebra.

>You don't know jack shit about math culture.
No, you don't know jack shit about math culture.

>> No.7189354

>>7188428
>>7188433
You guys have no idea what you're talking about. Read a fucking book.

>> No.7189360

>>7188968
>Most algebraists know basic facts about ODEs and PDEs whil most PDEists don't know basic facts about categories.
PDEists have always been and always will be on the lowest rung of pure mathematicians. What is your point?

>> No.7189369

>>7189360
My point is your face looks stupid.

>> No.7190103

>Required for all Physics majors

Calculus
Multivariable Calculus
Modern Geometry
Ordinary Differential Equations
Linear Algebra
Vector Spaces
Complex Variables
Partial Differential Equations
Probability Theory
Mathematical Statistics
Abstract Algebra
Topology
Real Analysis
Manifolds
Tensors
Functional Analysis
Numerical Analysis
Special Functions
Calculus of Variations
Fourier Analysis
Differential Geometry
Dynamical Systems

Introductory Physics I&II
Modern Physics
Mechanics I&II
Electrodynamics I&II
Quantum Mechanics I&II
Thermodynamics and Statistical Mechanics
Junior-level Experimental Physics Labs

Circuit Analysis & Electronics
Programming & Data Structures
Computer Architecture & Parallel Computing

>Electives

Astrophysics
Geophysics
Atmospheric Physics
Fluid Mechanics
Optics
Solid State
General Relativity
QFT
Particle Physics

>> No.7191449

>>7190103
>mathfag detected

>> No.7192974

>>7187889
>if anything you should NOT take calculus, and instead start with an introductory analysis class

What happens in this class? Will it help me intuit math more?

>> No.7192990

>>7191449
A mathfag would never suggest Mechanics without Symplectic Geometry.

>> No.7192993

>>7192974
introductory analysis course (I believe it is called real analysis sometimes) is proving calculus. So instead of learning the plug n chug bullshit the first time, just go ahead and learn the theory and proofs. It is redundant to take calc 1

>> No.7193762

>>7192993
Even in the old days, math majors learned how to calculate with calculus interlaced with analysis. You just can't get rid of solving calculus problems...

>> No.7193773

>>7193762
the calculus 1-3 track is a consequence of American colleges trying to save money by not providing different maths courses for mathematics students from that of the rabble.


It is definitely not what is most effective for teaching mathematics to undergraduate mathematics students.

>> No.7193789

>>7193773
>the calculus 1-3 track is a consequence of American colleges trying to save money by not providing different maths courses for mathematics students from that of the rabble.

No, learn some history on the matter:

>http://www.maa.org/sites/default/files/pdf/CUPM/pdf/MAAUndergradHistory.pdf
>Its initial focus was a common first-year mathematics syllabus for all students, paralleling the common syllabus for introductory courses in the natural and social sciences. The course, called Universal Mathematics, consisted of one semester of functions and limits, the real number system, Cartesian coordinates, functions (with focus on exp(x) and log(x) ), limits, and elements of derivatives and integrals, followed by one semester of mathematics of sets, logic, counting and probability. Note that this syllabus was very similar to the first-year mathematics syllabus proposed by E. B. Wilson in 1913. The second semester component was based on the expectation that newer areas of applied mathematics, such as statistics and operations research that were so useful in the war effort, would become a major part of the mathematics used in many disciplines. There was also a proposed ‘technical laboratory’ for engineers and physicists with more extensive work in calculus. The CUP-prepared 1954 text (MAA [23]) for the functions half of Universal Mathematics offered a highly theoretical approach on odd-numbered pages (e.g., replacing sequences by filters) along with a traditional approach on even-numbered pages. The theoretical approach was laying the foundation for a more theoretical mathematics major to prepare students for graduate study.

>> No.7193795

>>7193789
>Universal Mathematics was doomed, no matter what its reception might have been by mathematicians, by the decision in the mid-1950’s of physicists to use calculus in their freshman physics course for engineers. These physics courses started with supplementary workshops on basic calculus formulas. Mathematics departments, wary of losing calculus instruction, quickly made a full-year course in calculus the standard freshman sequence for engineers and scientists. As calculus came to be appreciated as a foundation for the modern world and one of science’s greatest intellectual achievement, a number of selective private institutions instituted a general education requirement that all students take three semesters of calculus or else, for the math-phobic, three semesters of a foreign language. Calculus, or preparation to take calculus, was thus firmly established as the primary focus of first-year college mathematics.

tl;dr: It was the physicists and their ever growing hatred of mathematics that cause rigor to disappear from the intro math sequence.

>> No.7194724

>>7188081
Too much freedom with electives. CS needs to be broader.

>Required
Programming
Data Structures
Algorithms
Digital Logic
Computer Architecture
Programming Paradigms
Operating Systems Theory
Advanced System and Network Programming
Programming Languages and Compilers
Theory of Computation
Professionalism, Ethics, Risk-Assessment and Legalities
Technical Writing

Linear Algebra
Vector Calculus
Ordinary Differential Equations
Probability
Statistics
Proofs and Abstract Mathematics
Combinatorics and Graph Theory
Numerical Analysis

>Elective Groups (Must pick one course from 10 groups)

>A
Provable Security
Mathematical Cryptography
Cryptographic Implementation and Network Security

>B
Kernel and Driver Development
Compiler Implementation
Malware Analysis and Reverse Engineering

>C
Image Processing
Computer Graphics
Computer Vision

>D
Artificial Intelligence
Natural Language Processing
Pattern Recognition and Data Mining

>E
Combinatorial Optimization and Network Flows
Approximation Algorithms
Linear Programming

>F
Communication Theory
Digital Signal Processing
Information Theory and Coding Theory

>G
Control Theory
Computational Modelling and Simulation
Dynamical Systems Theory

>H
Advanced Complexity Theory
Quantum Computing
Mathematical Logic

>I
Databases
Distributed Systems
Networks

>J
Software "Engineering"
Economics
Mathematical Finance
Co-Op

>K
One year sequence of science courses
Circuits and Microelectronics

>L
2 advanced math courses not overlapping with the above

>> No.7194749

>>7188449
Now that I think about, there should've been another calculus course there for complex variables, but since I listed Diff Eq separately, you could fit it somewhere there, if you put Diff Eq together with calc, then put the complex part there somewhere and call it Complex Variables or Calc IV.

>> No.7195066

>>7188045
Needs some Complex and Fourier Analysis, as well as Measure Theory and the basis of Probabilities. Logic isn't that useful (unless you mean Logic routinely used but most math grad students, which can be covered in less than 4 hours), PDE are a bit too specific (though some ODE makes for a good introduction). And of course some programming on a commonly used software like Matlab or R, with emphasis on implementing practical computation methods. And no decent math undergrad should shun physics, at least on the first semester, but that's another matter. I agree for the rest.

>> No.7195132

>>7194724
How the fuck would someone fit that in an undergrad program?

>> No.7195156

>>7195132
It's just 30 courses. There's still room for 4 Humanities/SocSci electives and 6 freebees for a minor or whatever

>> No.7195247

No English requirement for anything

>> No.7195254

>>7195066
Your post proves you never studied logic. Your intro to proofs class doesn't count as logic either.

>> No.7195272

>>7195247

Replace it with technical writing.

>> No.7195417

>>7187903
Fuck that old bastard with the scars! It's not anybody's country so he's a dumbass for fighting for nothing. Also, these things are stupid. Say shit to real people instead of bill boarding your bigmouth for a fuckin ideal that serves no purpose but your babyboner

>> No.7195445

>>7193773
[alt+255][alt+255][alt+30]
[enter]
[alt+30][alt+32][alt+30]

>> No.7195675

>>7195445
newfag can't triforce

>> No.7195680

>>7195445
▲
▲ ▲

>> No.7195720

>>7187886
>analysis
N O
O

>> No.7196756

>>7195720

Rigor is important

>> No.7196777

>>7187875
>required topics for graduate curriculum
I'm taking a whopping 4 classes for my research masters and another 4 for PhD (both CS). You can't exactly fit a lot of requirements into that.

>> No.7196792

>>7196756
Enlighten me, I took a course in R.A. and it turned out to be interesting but I don't see what it does for me as a Chemist other than help build mathematical maturity. Maybe the rigour is more important in other fields but not for all courses as the original anon intended

>> No.7196832

>>7196792
The reason I put it there is because not only is calculus is extremely useful for a lot of fields, but it also makes you have more mathematical maturity, so it works very fine as a pure math class for everyone, together with linear algebra.
So you become a better problem solver, and you have more knowledge of your tools. It's perfect.

>> No.7196841

>>7196832
If it's for the sake of maturity I'll wanna add something to that list man, discrete math was my first time encountering proofs, no idea how I could have gone through analysis so smoothly without it.

>> No.7196883

>>7187915
This would make kids hate math and leave them with a weak foundation

>> No.7196897

>>7188266
There is not enough time for this + your the topics you stated earlier.

>> No.7196912

>>7196841
I've had mine with abstract algebra and linear algebra, and never took discrete math, so I don't know how it compares as intro proofs.

Have you add any of those two? I'd like to know how it does compare.

>> No.7197185

>>7196792
It enables you to learn about more advanced mathematics that is useful. Unlike basics calculus where you can get away without justification and things will almost always work, Fourier analysis and functional analysis are as finicky and flaky as they are damn powerful and useful.

>> No.7197188

>>7196777
>I'm taking a whopping 4 classes for my research masters and another 4 for PhD (both CS).

This is why CS isn't respected

>> No.7197192

>>7196883
>and leave them with a weak foundation

wat?

>> No.7197221

>>7187875
Study of Memes should be required course for all undergrads.