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CS shouldn't be in the title. If you learn everything in this set of notes you will have learned something close to a standard 3 year undergraduate math curricu

by llamaz 9y ago

CS shouldn't be in the title. If you learn everything in this set of notes you will have learned something close to a standard 3 year undergraduate math curriculum. So the only way it's related to CS is that undergraduate math is applicable to CS, as expected.

yeukhon 9y ago
A lot of the math in the notes are not covered in the standard engineering mathematics curriculum. Chapter 1 is not. No one taught me about rings except in discrete (just briefly), and the next time I visited it would be in algorithm and cryptography class. I honestly cannot recall my exact curriculum, but a quick glance at the table of content, more than half unknown to me. Now, different school, different teacher will have additional materials. That's possible. Most importantly, the author of this PDF created this for the CS students, so it CAN be in the title.
- GameOfTrolls 9y ago
  No.
- ychen306 9y ago
  Schools usually have two or three abstract algebra classes just to cover materials in Chapter 1 and a couple later chapters (polynomials, modules, etc).
  - yeukhon 9y ago
    Not really (though again I emphasize every school is different). At least my school doesn't teach these abstract algebra covered in Chapter 1 except in discrete mathematics, which is not offered to most engineering students. Sure some axioms, vector spaces, some polynomial, logic, here and there would be covered in calculus, differential and linear. But large part of the content would not be part of a CS/Engineering classes. Only what is relevant.
luyi06 9y ago
We shouldn't be confused with CS and programmer.
Edmond 9y ago
You may be taking too rigid a notion of CS...a lot of CS programs at least in American Universities are math programs...I got a minor in Applied math merely by declaring my desire for it without any extra classes. I would have gotten a double major in Applied Math and CS if I was willing to spend another semester in undergrad...point being Math and CS are not as far off.
- mathattack 9y ago
  Similar. The BS at my school hadn’t all the math of a minor. The BA was lighter on math, but many would use it to double major in math since the CS courseload was lighter.
- v64 9y ago
  Out of curiosity, what university did you go to? I attended the University of Texas and there was very little overlap between the math and CS curriculums [1]. The classes in common were lower division calculus (8 or 12 hours, depending if you took the condensed accelerated version), linear algebra (3 hours), and probability (3 hours). Students could of course take more math electives, but you could get a CS degree with just 14 hours of math [2] [3] [4]. [1] https://www.cs.utexas.edu/sites/default/files/images/16-18%20BS%20Checklist%20.pdf https://www.cs.utexas.edu/sites/default/files/images/16-18%2... [2] Discrete math is a requirement for CS, but not for math, so I didn't count it. If you include it, that raises the number of hours to 17. Either way, that's only a semester's worth of math. [3] CS students are required to take 24 hours of upper division electives, many of which are math oriented, but based on this list, it'd still be possible to fill those 24 hours with non-math related topics: https://www.cs.utexas.edu/undergraduate-program/academics/curriculum/courses https://www.cs.utexas.edu/undergraduate-program/academics/cu... [4] I realize that many classes in the core CS curriculum are math oriented, like algorithms, however this would not fulfill a math requirement. One couldn't pick up a minor in math based on the core curriculum alone and would need to deliberately add math electives.
  - garmaine 9y ago
    It depends very much on the school. I attended two different programs. The first was a software engineering degree with IMHO an entirely insufficient math requirement of basically calculus plus a combined discrete math and linear algebra lower division class. The second university didn’t have a computer science program per se — they had a math degree plus algorithms class and called it a computer science concentration. Having been through both I can see the logic of both approaches.
mathattack 9y ago
It’s CS and Engineering. Most engineering degrees require quite a bit of applied math too.

by llamaz 9y ago

yeukhon 9y ago

A lot of the math in the notes are not covered in the standard engineering mathematics curriculum. Chapter 1 is not. No one taught me about rings except in discrete (just briefly), and the next time I visited it would be in algorithm and cryptography class. I honestly cannot recall my exact curriculum, but a quick glance at the table of content, more than half unknown to me. Now, different school, different teacher will have additional materials. That's possible. Most importantly, the author of this PDF created this for the CS students, so it CAN be in the title.

GameOfTrolls 9y ago
No.
ychen306 9y ago
Schools usually have two or three abstract algebra classes just to cover materials in Chapter 1 and a couple later chapters (polynomials, modules, etc).
- yeukhon 9y ago
  Not really (though again I emphasize every school is different). At least my school doesn't teach these abstract algebra covered in Chapter 1 except in discrete mathematics, which is not offered to most engineering students. Sure some axioms, vector spaces, some polynomial, logic, here and there would be covered in calculus, differential and linear. But large part of the content would not be part of a CS/Engineering classes. Only what is relevant.

luyi06 9y ago

We shouldn't be confused with CS and programmer.

Edmond 9y ago

You may be taking too rigid a notion of CS...a lot of CS programs at least in American Universities are math programs...I got a minor in Applied math merely by declaring my desire for it without any extra classes. I would have gotten a double major in Applied Math and CS if I was willing to spend another semester in undergrad...point being Math and CS are not as far off.

mathattack 9y ago
Similar. The BS at my school hadn’t all the math of a minor. The BA was lighter on math, but many would use it to double major in math since the CS courseload was lighter.
v64 9y ago
Out of curiosity, what university did you go to? I attended the University of Texas and there was very little overlap between the math and CS curriculums [1]. The classes in common were lower division calculus (8 or 12 hours, depending if you took the condensed accelerated version), linear algebra (3 hours), and probability (3 hours). Students could of course take more math electives, but you could get a CS degree with just 14 hours of math [2] [3] [4]. [1] https://www.cs.utexas.edu/sites/default/files/images/16-18%20BS%20Checklist%20.pdf https://www.cs.utexas.edu/sites/default/files/images/16-18%2... [2] Discrete math is a requirement for CS, but not for math, so I didn't count it. If you include it, that raises the number of hours to 17. Either way, that's only a semester's worth of math. [3] CS students are required to take 24 hours of upper division electives, many of which are math oriented, but based on this list, it'd still be possible to fill those 24 hours with non-math related topics: https://www.cs.utexas.edu/undergraduate-program/academics/curriculum/courses https://www.cs.utexas.edu/undergraduate-program/academics/cu... [4] I realize that many classes in the core CS curriculum are math oriented, like algorithms, however this would not fulfill a math requirement. One couldn't pick up a minor in math based on the core curriculum alone and would need to deliberately add math electives.
- garmaine 9y ago
  It depends very much on the school. I attended two different programs. The first was a software engineering degree with IMHO an entirely insufficient math requirement of basically calculus plus a combined discrete math and linear algebra lower division class. The second university didn’t have a computer science program per se — they had a math degree plus algorithms class and called it a computer science concentration. Having been through both I can see the logic of both approaches.

mathattack 9y ago

It’s CS and Engineering. Most engineering degrees require quite a bit of applied math too.