Can 16 Credit Hours with a Lab Overwhelm a Math Major?

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Discussion Overview

The discussion revolves around the feasibility of taking 16 credit hours in a semester, specifically for a math major considering a course load that includes Real Analysis, Economic Statistics, Applied Regression Analysis, Computer Science with lab, and Marketing Principles. The focus is on the potential challenges and preparedness for the courses involved.

Discussion Character

  • Debate/contested
  • Conceptual clarification
  • Technical explanation

Main Points Raised

  • One participant questions whether taking 16 credit hours is too much for a math major, seeking input on the course load.
  • Another participant asks about prior programming experience and familiarity with proving concepts, suggesting that a solid understanding of statistics could make the load manageable.
  • The original poster expresses a lack of programming experience and doubts about their proving skills from previous coursework, asking if they are still fit to take the classes.
  • A detailed explanation of programming concepts is provided, emphasizing the importance of understanding state and flow-control in programming.
  • Advice is given on preparing for the Real Analysis course, particularly regarding delta-epsilon definitions and key concepts like differentiability, continuity, and convergence.

Areas of Agreement / Disagreement

Participants express varying opinions on the appropriateness of the course load, with some suggesting it may be manageable depending on prior knowledge and skills, while others raise concerns about the challenges posed by the courses.

Contextual Notes

Participants highlight the importance of prior experience in programming and mathematical proofs, which may influence the ability to handle the proposed course load. There is an emphasis on the need for preparation in specific mathematical concepts before undertaking the Real Analysis course.

SMA_01
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Is this too much of a load??

I'm thinking of taking 5 classes this Fall semester:

Real Analysis 1
Economic Statistics
Applied Regression Analysis
Computer Science 1 with lab
Marketing Principles and Policies

Total would be 16 credit hours (CIS is 4 credits). I'm a math major with a minor in applied stats. Do you think this would be too much of a load?

Any input is appreciated.

Thanks.
 
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Hey SMA_01.

Two questions: 1. Have you done any coding in any procedural language for any purpose of moderate complexity (MATLAB, R, C/C++, BASIC, FORTRAN, Python, Whatever) for CompSci and 2. Have you done courses involving a substantial amount of proving before for the Analysis course?

If you really understand statistics and in both an applied and mathematical context, then you should be good IMO.
 


Chiro- I've never had any prior experience in programming, this is my first course. I took Abstract Algebra last semester, but I wouldn't consider that a "substantial" amount of proving. Do you think I'm still okay with taking classes?
 


SMA_01 said:
Chiro- I've never had any prior experience in programming, this is my first course. I took Abstract Algebra last semester, but I wouldn't consider that a "substantial" amount of proving. Do you think I'm still okay with taking classes?

For programming remember two things: state and flow-control.

Your state correponds to the variables you use, how you use them and what's in them and the flow-control corresponds to how the execution of your program operates on those variables.

Procedural is top-down in the context of the scope: for example in a loop you go back to the start until you terminate. If you branch you decide whether to skip the branch or enter it and with function calls, you call a function and then the start of the function goes down to the end.

If you remember this, it's going to be a lot easier to follow what is going on.

If you are stuck think about these things and they will make more sense.

In terms of the analysis course, at least get prepared with all the delta epsilon stuff: if you haven't touched much of that then take a look at it. Be aware of the tricks used, the properties of norms, relationships between different norms (like triangle inequality, minkowski inequality and so on) and then look at these in the context of convergence, the existence of limits, differentiability, and continuity.

You might want to get a feel of these concepts (i.e. differentiability, continuity, and convergence) in the formal definition (i.e. all that epsilon delta stuff) before you go into the course.

Once you have a good enough understanding of when to pick your delta's, your epilsons and so on, you will be in a lot better shape and hopefully won't be pulling your hair out.
 

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