Best Practices and Preparations for a super-intense courseload

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Discussion Overview

The discussion focuses on strategies and preparations for managing a heavy academic courseload in math, physics, chemistry, and computer science. Participants share advice on study habits, material review, and the feasibility of the proposed courses.

Discussion Character

  • Exploratory
  • Technical explanation
  • Homework-related

Main Points Raised

  • One participant seeks advice on study tips and preparation for a rigorous academic year, outlining a plan to review differential calculus, statistics, integrals, and matrix operations.
  • Another participant questions the appropriateness of taking matrix algebra without prior differential calculus knowledge, as well as the implications of taking integral calculus first.
  • Some participants suggest that while many universities recommend completing calculus before linear algebra, the necessity may depend on the specific course structure and focus on applications.
  • Concerns are raised about the workload and the importance of maintaining sleep and exercise to support learning, emphasizing the potential negative effects of sleep deprivation on academic performance.
  • Participants advise ensuring a solid understanding of algebra and trigonometry before starting the courses, especially after a break from formal math education.
  • One participant highlights the importance of minimizing distractions from friends or family during intense study periods.

Areas of Agreement / Disagreement

Participants express varying opinions on the prerequisites for matrix algebra and integral calculus, indicating that there is no consensus on whether it is advisable to take these courses without prior calculus knowledge. The discussion also reflects differing views on the feasibility of the proposed courseload.

Contextual Notes

Limitations include the lack of specific prerequisites for the courses mentioned and the varying policies across different educational institutions regarding course sequencing.

H2Bro
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I'm looking to solicit advice on general studying tips, habits, and preparations for the upcoming academic year. My courseload is quite heavy, 6 full courses of math, physics, chemistry, and computer science. I am looking to do a month or two of full time preparation this summer to really gear up. It's been a while since I've done a lot of math, but I have kept up with some programming and doing the occasional math problem / lots of mental math. I'm 24, I have rock solid study habits and don't go for distractions like partying / tv / alcohol etc.

As it stands I had thought to try to review differential calculus and statistics, and try to get into some introductory integrals and matrix operations. Any other advice / tips on material to go over prior to the start? Also, is this a feasible courseload?

Here it is in a nutshell:
Term One:
-Chemistry with applications to physical sciences
-Engineering computer graphics
-Differential calculus for the physical sciences
-Introduction to programs, programming, and comp sci
-Statistics and Probability Intro
-Physics 101 - waves, fluids, oscillators

Term Two:
-Integral calculus for the physical sciences
-Models of computation
-Introduction to computer science (not yet sure what the diff between this and the term1 is)
-Matrix Algebra
-phys 102 - introduction to light, optics, em
-Introductory physics lab
-
 
Physics news on Phys.org
Follow up question:

Is it a bad idea to take matrix algebra without having done differential calculus first? Also, how about integral calculus?
 
Essentially, no. Many universities suggest Calculus before Linear (Matrix) Algebra so that the student has a better "feel" for pure math. Given that you're planning taking more of an applications-based calculus class, I don't know that taking it beforehand will make a difference. One thing to check is if your class covers matrices applied to systems of differential equations, in which case calculus knowledge would be necessary.
 
H2Bro said:
Follow up question:

Is it a bad idea to take matrix algebra without having done differential calculus first? Also, how about integral calculus?

It depends on the school. At my school, the complete calculus sequence is a prerequisite for linear algebra. A person who does not have a solid grasp on integration by parts, for instance, could not do what we do with vector product spaces. Also, a passing knowledge of differential equations is needed for some parts of the course. The ability to take derivatives is assumed throughout.
 
No labs that first semester? It's doable, maybe. You're going to have lots of work to do and (likely) not enough time to do it. Regardless, do *not* short yourself on sleep. Being sleep deprived makes learning more difficult. Then you get into a bad feedback loop: you need even more time to learn, so you cut back more on sleep, which makes it even harder to learn...this ends badly.

It will be hard to fit it in, but try to exercise daily.

Since it's been a while since you've taken a math class, be sure you are solid with algebra and trig.

If you can, minimize distractions like friends/family who have lots of drama in their lives and will want to suck you in.

Good luck :smile:!
 

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