p********g
发帖数: 13 | 1 大家好，我是freshman, will declare math major next year. 请教各位大侠:
Our department only has cal, multivarible cal, linear algebra, abstract
analysis and real analysis as 5 required core courses.
Is Number Theory a very important class? or I better take more computer
related classes?
What other classes are important to take? Such as Tpics in Linear Alg & Diff
Eq., Stat, Mathematical Models, Operations Research, Complex Analysis,
Differential Geometry, Combinatorics, functional analysis..... or
other cla | L******k
发帖数: 33825 | 2 看来都差不多！
ODE 也是我们选修的！
我们学校本科部offer differential Geometry， 唯一一趟本科的几何还是Secondary
math Education的必修课！
看你喜欢了，喜欢概率的话读一下也好，然后再读读统计？ combinatorial！
下学期我们学校也offer Number Theory，不过一看是那个教授教课我就不太像了，和他
混了三个学期了，而且也不是我必修， 我还是先把毕业要求的修完了再说吧！
你们学校 offer好多课啊，比我们好多了，
btw where do you go to school?
Diff
【在 p********g 的大作中提到】
: 大家好，我是freshman, will declare math major next year. 请教各位大侠:
: Our department only has cal, multivarible cal, linear algebra, abstract
: analysis and real analysis as 5 required core courses.
: Is Number Theory a very important class? or I better take more computer
: related classes?
: What other classes are important to take? Such as Tpics in Linear Alg & Diff
: Eq., Stat, Mathematical Models, Operations Research, Complex Analysis,
: Differential Geometry, Combinatorics, functional analysis..... or
: other cla
| c**********r
发帖数: 944 | 3 IMHO Topics like number theory, geometry, combinatorics or analysis should
be learned when you are still young and energetic, even if you don't plan to
do pure math later. Because you need a couple of years to really understand
them. For applied maths or OR or stat, you can put them later.
Diff
【在 p********g 的大作中提到】
: 大家好，我是freshman, will declare math major next year. 请教各位大侠:
: Our department only has cal, multivarible cal, linear algebra, abstract
: analysis and real analysis as 5 required core courses.
: Is Number Theory a very important class? or I better take more computer
: related classes?
: What other classes are important to take? Such as Tpics in Linear Alg & Diff
: Eq., Stat, Mathematical Models, Operations Research, Complex Analysis,
: Differential Geometry, Combinatorics, functional analysis..... or
: other cla
| L******k
发帖数: 33825 | 4 谢谢建议
to
understand
【在 c**********r 的大作中提到】
: IMHO Topics like number theory, geometry, combinatorics or analysis should
: be learned when you are still young and energetic, even if you don't plan to
: do pure math later. Because you need a couple of years to really understand
: them. For applied maths or OR or stat, you can put them later.
:
: Diff
| L******k
发帖数: 33825 | 5 搭车听建议
嘿嘿
Diff
【在 p********g 的大作中提到】
: 大家好，我是freshman, will declare math major next year. 请教各位大侠:
: Our department only has cal, multivarible cal, linear algebra, abstract
: analysis and real analysis as 5 required core courses.
: Is Number Theory a very important class? or I better take more computer
: related classes?
: What other classes are important to take? Such as Tpics in Linear Alg & Diff
: Eq., Stat, Mathematical Models, Operations Research, Complex Analysis,
: Differential Geometry, Combinatorics, functional analysis..... or
: other cla
| b******v
发帖数: 1493 | 6 再加Abstract Algebra和Manifolds and Topology
有了这些基础课，以后学其他课就不怕了
本科阶段多学基础课，应数和统计课程比较简单，可以留到研究生阶段再学
Diff
【在 p********g 的大作中提到】
: 大家好，我是freshman, will declare math major next year. 请教各位大侠:
: Our department only has cal, multivarible cal, linear algebra, abstract
: analysis and real analysis as 5 required core courses.
: Is Number Theory a very important class? or I better take more computer
: related classes?
: What other classes are important to take? Such as Tpics in Linear Alg & Diff
: Eq., Stat, Mathematical Models, Operations Research, Complex Analysis,
: Differential Geometry, Combinatorics, functional analysis..... or
: other cla
| B****n
发帖数: 11290 | 7 這個我同意 如果不明確將來要不要讀純數學 那寧可先學兩三門純數基礎課 像是
analysis, geometry, abstract algebra 通常好好學個三門課 你就很清楚自己到底喜
不喜歡 合不合適繼續學純數 人愈大 一般愈想很快達成什麼事 反而是學數學尤其是純
數的大忌
to
understand
【在 c**********r 的大作中提到】
: IMHO Topics like number theory, geometry, combinatorics or analysis should
: be learned when you are still young and energetic, even if you don't plan to
: do pure math later. Because you need a couple of years to really understand
: them. For applied maths or OR or stat, you can put them later.
:
: Diff
| p********g
发帖数: 13 | 8 谢各位大侠指点。
I am actually thinking about double major in Math and Econ. Requirements are
10 courses in each major to get a BS, 12 courses for honor degree. So I can
only take limited math classes. I will have 5 math credit classes by the
end of this semester. So I am just trying to figure out what classes are
more important to take than others. I like number theory, combinatorics,
topology.
So I guess I better take number theory next semester, otherwise I will have
to wait till junior or senior yea | L******k
发帖数: 33825 | 9 真好 ：）
good luck
are
can
have
due
【在 p********g 的大作中提到】
: 谢各位大侠指点。
: I am actually thinking about double major in Math and Econ. Requirements are
: 10 courses in each major to get a BS, 12 courses for honor degree. So I can
: only take limited math classes. I will have 5 math credit classes by the
: end of this semester. So I am just trying to figure out what classes are
: more important to take than others. I like number theory, combinatorics,
: topology.
: So I guess I better take number theory next semester, otherwise I will have
: to wait till junior or senior yea
| g****t
发帖数: 31659 | 10 这个建议好。能给推荐本数论入门书么？
to
understand
【在 c**********r 的大作中提到】
: IMHO Topics like number theory, geometry, combinatorics or analysis should
: be learned when you are still young and energetic, even if you don't plan to
: do pure math later. Because you need a couple of years to really understand
: them. For applied maths or OR or stat, you can put them later.
:
: Diff
| s*******n
发帖数: 740 | 11 A classical introduction to modern number theory
【在 g****t 的大作中提到】
: 这个建议好。能给推荐本数论入门书么？
:
: to
: understand
| s*******n
发帖数: 740 | 12 No need to take courses in undergraduate-level number theory. You can learn
it on your own.
Be sure to take a topology class.
The important courses in my opinion:
Real analysis (basic analysis, measure theory, functional analysis, fourier
analysis)
Complex analysis
Abstract algebra
PDE
ODE
Probability (calculus-based is enough)
Point-set topology and basic algebraic topology
classical differential geometry
differentiable manifolds (advanced differential geometry)
If you are going to do econ, you
【在 p********g 的大作中提到】
: 谢各位大侠指点。
: I am actually thinking about double major in Math and Econ. Requirements are
: 10 courses in each major to get a BS, 12 courses for honor degree. So I can
: only take limited math classes. I will have 5 math credit classes by the
: end of this semester. So I am just trying to figure out what classes are
: more important to take than others. I like number theory, combinatorics,
: topology.
: So I guess I better take number theory next semester, otherwise I will have
: to wait till junior or senior yea
| s*******n
发帖数: 740 | 13 Some of the above are usually graduate courses in US universities. But I
think they are very fundamental. | p********g
发帖数: 13 | 14 Thanks for the advice.
【在 s*******n 的大作中提到】
: Some of the above are usually graduate courses in US universities. But I
: think they are very fundamental.
|
|
