Is Taking Three Math Courses in One Semester a Good Idea for a Math Major?

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Discussion Overview

The discussion centers around the feasibility of a math major taking three math courses—Abstract Algebra, Probability (calculus-based), and Geometry—alongside General Physics 1 in a single semester. Participants explore the implications of such a course load, considering factors like prior knowledge and comfort with proofs.

Discussion Character

  • Exploratory
  • Debate/contested
  • Homework-related

Main Points Raised

  • One participant expresses uncertainty about whether taking three math courses in one semester is advisable and seeks advice.
  • Another participant suggests consulting an academic advisor for guidance on course selection.
  • A different participant recommends visiting the department office for assistance if the advisor is unavailable.
  • One participant requests additional information about the course contents, the individual's prior knowledge, and their usual workload to better assess the situation.
  • Course descriptions are provided, detailing topics covered in Probability, Abstract Algebra, and Geometry.
  • Another participant inquires about the individual's comfort level with proofs and their performance in previous proof-based courses.
  • It is noted that the level of the Probability course could significantly impact the individual's ability to manage the workload, particularly if it involves measure theory.

Areas of Agreement / Disagreement

Participants do not reach a consensus on whether taking three math courses is a good idea. There are multiple perspectives regarding the individual's preparedness and the potential challenges of the courses.

Contextual Notes

Participants highlight the importance of understanding the specific content and rigor of the Probability course, as well as the individual's previous experience with proof-based mathematics. The discussion reflects varying assumptions about workload management and course difficulty.

ian8
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Hi all,

I was thinking what I should take in the spring as a math major I was thinking of taking Abstract Algebra, Probability (calculus based), and geometry, as well as General physics 1, could anyone give me some advice is this a good idea or a bad idea?
 
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ian8 said:
Hi all,

I was thinking what I should take in the spring as a math major I was thinking of taking Abstract Algebra, Probability (calculus based), and geometry, as well as General physics 1, could anyone give me some advice is this a good idea or a bad idea?

Do you not have an academic advisor to ask this very question?

Zz.
 
ZapperZ said:
Do you not have an academic advisor to ask this very question?

Zz.
Yes I do but she is never available.
 
ian8 said:
Yes I do but she is never available.

Go to your department office and request someone to talk to. Otherwise, inform the chair of the dept. that you are not getting the advice that you need.

Zz.
 
ian8 said:
Hi all,

I was thinking what I should take in the spring as a math major I was thinking of taking Abstract Algebra, Probability (calculus based), and geometry, as well as General physics 1, could anyone give me some advice is this a good idea or a bad idea?

Please:
1) List the contents of the courses
2) List the knowledge you have
3) List the workload you're used to.
 
micromass said:
Please:
1) List the contents of the courses
2) List the knowledge you have
3) List the workload you're used to.
1)probability course description
An introduction to probability. Topics include mathematical models, sample spaces, conditional probability, discrete and continuous distributions, expected values, moment-generating functions, Central Limit Theorem, multivariate distributions, marginal distributions, conditional distributions, correlation, and one-variable transformations of variables.
Abstract Algebra
An introduction to groups, rings, integral domains and fields. Additional topics include groups of symmetries, rings of integers, rings of polynomials and construction of the field of rational numbers.
Geometry
Both Euclidean and non-Euclidean geometries are studied. Each geometry will be understood from three different perspectives: first, as the collection of theorems following from a particular set of axioms; second, as the two-dimensional geometry arising from a particular metric; and third, as the geometry obtained from a set together with a specific group of rigid motions of the set. At least one of these viewpoints will be developed in detail.
2) Have taken Calculus 1-3,Number Theory,Discrete Math (intro proofs course),Linear Algebra
3) I'm used to mostly taking two math courses per semester however I need to take more 300 level math courses and geometry I hear is supposed to be easy mostly math ed majors.
 
How comfortable are you with proofs? Was the LA course proof based? How did you do with proofs in number theory and discrete math?
 
micromass said:
How comfortable are you with proofs? Was the LA course proof based? How did you do with proofs in number theory and discrete math?
I did relatively well in the proofs in those courses I feel I'm comfortable with proofs. LA course was proofs based I did well in proofs in number theory and discrete math.
 
ian8 said:
I did relatively well in the proofs in those courses I feel I'm comfortable with proofs. LA course was proofs based I did well in proofs in number theory and discrete math.

Then I think you'll do fine. One thing though is that you should figure out the level of the probability class. It is very possible to make probability theory very technical and proofy. This course would typically see probability theory in terms of measure theory. On the other hand, it might be that won't use any measure theory. If it doesn't, you should be ok. If it does, then you will want to take analysis first and it's not a good idea to take probability now.
 

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