请教一个数学选课问题

iiyaya_sun

不久后就申请金融或者经济学Ph.D。

请问牛牛们以下哪个课对申请更有帮助，同时从策略上讲选哪个课对我帮助最大，因为我数学基础一般。

一个是Modern Algebra（Second course of Linear Algebra，Graduate level），一个是微分几何。

第一个我看了一下sample syllabus，好像就和普通的线代没什么区别，会不会太简单。

第二个难度更大，担心自己handle不了，同时微分几何在经济学金融学研究中的运用好像并不是很广泛。

马上就要决定了，现在还在纠结中，希望牛牛们现身解答。

moontroy

Modern Algebra is totally different from Linear Algebra.

In general neither course is important or widely used in economics or finance. Try real analysis and measure theory, or stochastic calculus and advanced probability theory if you have some background.

kndx5

你还真是有病乱投医了，这俩课都没啥帮助，而且微分几何你原来数学背景一半的话，很难拿a的，那样更糟。

不养盲目追求难度，没学过，表示你可能行，可能不行，学过拿了b，就说明你肯定不行了，还是选一些利索能力的概率，测度啥的，帮助更大 。

iiyaya_sun

你还真是有病乱投医了，这俩课都没啥帮助，而且微分几何你原来数学背景一半的话，很难拿a的，那样更糟。

不养盲目追求难度，没学过，表示你可能行，可能不行，学过拿了b，就说明你肯定不行了，还是选一些利索能力的概率，测度啥的，帮助更大 。

-- by 会员 kndx5 (2011/8/25 20:59:23)

我当然想修您说的那些，尤其是测度，但是和我的必修课冲了，只剩下这俩选择。
哎，要不就只有修math Econ了，这是必修，但是老师说我不用修了，太容易了。

iiyaya_sun

K版,Moon，或者其他牛牛，再帮我看看，如果不修上面提到的两门，只有下面三个选择了。
好像都不是很好啊，第一个还凑合，结果以前有个名字几乎一样的课，还拿了A，再修是不是完全是白白扔钱了。
Advanced Calculus
Mathematical Theory of Interest（貌似相当基础，算PV FV等的）
Theory Associative Rings

iiyaya_sun

刚才看漏了一个，schedule上不冲突的还剩下数论，不过我觉得也是属于没多少帮助的。

moontroy

Number Theory is almost irrelevant to econ or finance, associative rings should be some specific topics followed by modern algebra(not sure though),and theory of interest are not a math class.

Advanced Calculus seems good, is it the same class as the one u've taken or just another one in the sequence? people know two advanced calculus classes are not simply two identical courses.

iiyaya_sun

Number Theory is almost irrelevant to econ or finance, associative rings should be some specific topics followed by modern algebra(not sure though),and theory of interest are not a math class.

Advanced Calculus seems good, is it the same class as the one u've taken or just another one in the sequence? people know two advanced calculus classes are not simply two identical courses.

-- by 会员 moontroy (2011/8/25 22:50:49)

Thank you for your prompt reply. The course I took before is Adv Cal in Finance, which teaches some important models like Black scholes, and a little bit patial diff equations. However, this course is using the book entitled "Intro to Analysis".

This is the Advanced Calculus course objective.
After the completion of this course, students will be able to
1. describe a rigorous treatment of the development of real number system.
2. state the concept of limit and its use in developing the derivative and the
integral.
3. explain the properties of infinite sequence and series and how this leads to
a fundamental understanding of functions and their applications.
4. describe the role of the study of trigonometric series in the development of
modern analysis.

moontroy

This is the real "math" course, and is somewhat a basic one. Forget ur adv cal in finance and take this.

iiyaya_sun

This is the real "math" course, and is somewhat a basic one. Forget ur adv cal in finance and take this.

-- by 会员 moontroy (2011/8/25 22:58:48)

Thanks！ I think this might be my only choice.