How can Calculus classes be a student's dream?

  • Thread starter Thread starter Ben-CS
  • Start date Start date
  • Tags Tags
    Calculus Classes
AI Thread Summary
A recent discussion highlighted the experience of purchasing a Calculus book for just $0.75 and using spring break for a refresher course. Participants noted that Calculus classes often allow cheat sheets, which are extensive tables of integrals and useful references, unlike traditional exams that may not permit such aids. Some shared experiences of open-book and open-note exams in upper-level math courses, contrasting with others who had more restrictive testing environments. The conversation also touched on the challenges of specific problems in Calculus II, emphasizing the benefit of having unlimited time during exams, although this can lead to physical discomfort from prolonged focus.
Ben-CS
First of all, I recently purchased a Calculus book for a real bargain: $ 0.75 + tax! I spent spring break giving myself a refresher course. Whee!

On to business: I think Calculus classes deserve special mention. They are among the very rare classes where cheat sheets are not only permitted, but required. Gotta love those integration tables! They're sometimes 30+ pages long, but...oh, well.
 
Mathematics news on Phys.org
really? i don't recall anything like that when i took calc. no cheatsheets, no calculators.
 
Cheet sheets? I'm not sure what they are. Can anyone tell me?
 
Cheat sheets are in reference to the table of integrals.

Not necessarily a "cheat sheet" but rather a useful reference to classes of integrals (like Wallis formulas and things like that).

I remember haveing to use that when I took Calculus II last year. It saved me a lot of time (but I didn't rely on it so much).
 
Welcome to the wonderful world of mathematics! In my upper-level math classes in college, like ~90% of the exams were open-book and open-note, and many were also infinite-time!
 
Welcome to the wonderful world of mathematics! In my upper-level math classes in college, like ~90% of the exams were open-book and open-note, and many were also infinite-time!

Wow, we didn't have open book or open note test (and the way how our books were written, it was better to go without it).

Speaking of infinite time, that reminded me of Calculus II exams. I remember doing one chapter on Integral techniques and there was one particular problem that remained elusive to me. I probably spent a good 2 or 3 hours on that particular problem and the great thing is that the professor allowed me all the time I needed.

Of course, hunger pains and thirst began to set in, my eyes were strained and my hand aching, so I had to call it a day.
 
Insights auto threads is broken atm, so I'm manually creating these for new Insight articles. In Dirac’s Principles of Quantum Mechanics published in 1930 he introduced a “convenient notation” he referred to as a “delta function” which he treated as a continuum analog to the discrete Kronecker delta. The Kronecker delta is simply the indexed components of the identity operator in matrix algebra Source: https://www.physicsforums.com/insights/what-exactly-is-diracs-delta-function/ by...
Fermat's Last Theorem has long been one of the most famous mathematical problems, and is now one of the most famous theorems. It simply states that the equation $$ a^n+b^n=c^n $$ has no solutions with positive integers if ##n>2.## It was named after Pierre de Fermat (1607-1665). The problem itself stems from the book Arithmetica by Diophantus of Alexandria. It gained popularity because Fermat noted in his copy "Cubum autem in duos cubos, aut quadratoquadratum in duos quadratoquadratos, et...
I'm interested to know whether the equation $$1 = 2 - \frac{1}{2 - \frac{1}{2 - \cdots}}$$ is true or not. It can be shown easily that if the continued fraction converges, it cannot converge to anything else than 1. It seems that if the continued fraction converges, the convergence is very slow. The apparent slowness of the convergence makes it difficult to estimate the presence of true convergence numerically. At the moment I don't know whether this converges or not.
Back
Top