Is Calculus 2 a Good Option for a Summer Course?

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Discussion Overview

The discussion centers on the feasibility and challenges of taking Calculus 2 as a summer course. Participants share their experiences and opinions regarding the intensity of the course, preparation strategies, and the implications of a compressed schedule on learning outcomes.

Discussion Character

  • Exploratory
  • Debate/contested
  • Homework-related

Main Points Raised

  • One participant inquires about the difficulty of taking Calculus 2 in a summer session, expressing a desire to know which topics to focus on for success.
  • Another participant suggests learning specific derivatives, such as those of inverse trigonometric functions, as they may be useful.
  • A participant notes that summer courses may be tougher due to the compression of material into a shorter timeframe, emphasizing the importance of understanding foundational concepts like the chain rule and product rule.
  • One contributor shares a personal experience from a summer Trigonometry course, indicating that the lack of depth in the material led to difficulties in subsequent courses, suggesting that summer courses may not provide a thorough understanding.
  • Another participant mentions that their professor does not teach Calculus 1 or 2 during the summer to maintain content standards, implying that the quality of learning may vary based on the instructor's approach.

Areas of Agreement / Disagreement

Participants express differing views on the effectiveness of summer courses, with some suggesting they may not provide adequate depth of understanding, while others believe it depends on the student's prior knowledge and comfort with the material. No consensus is reached on whether summer courses are a good option overall.

Contextual Notes

Participants highlight the potential limitations of summer courses, including the risk of insufficient coverage of material and the importance of prior knowledge for success. The discussion reflects varying educational philosophies regarding summer course content and pacing.

Who May Find This Useful

Students considering taking Calculus 2 in a summer session, educators evaluating summer course offerings, and individuals interested in the challenges of accelerated learning in mathematics.

Dan350
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Calculus 2 for summer??

Hello users!,,
What do you think about taking calculus 2 on summer?

Any of you have taken that course in summer? What can you say about it?
Is it hard??

Also veryy important,,
i got an A- in calc 1
I like math
Im taking the course on july 11, it ends at august 19,, which is like 6 weeks!
Im teaching myself and I want to know which topics should i focus to do very well in class..
Integration by parts?? Trig Sub?

Thank you very much,, hope you ca help me

Cheers!
 
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Learn these: ##\frac{d}{dx} sin^{-1}x##, ##\frac{d}{dx} cos^{-1}x##, etc. This will come in handy.
 
It will probably be tougher than if taken during the regular school terms, because presumably the same material is being compressed into a shorter term.

Make sure you really understand the chain rule of differentiation, since that is at the heart of the ordinary substitution technique of integration. Also, be sure you understand the product rule, since that is what's behind integration by parts. For trig substitution, be sure you understand the derivatives of the six trig functions and how all six can be defined in terms of either sin(x) or cos(x).
 
At one school, I took Trig as a summer course and the professor told us up front that if we are taking trig for a short summer semester, then either we already know the material or are not math majors who are interested in really learning the material, so it's not really necessary to delve as deep into the topic as he would normally do during a regular semester. We memorized a few formulas w/o understanding how they were derived, plugged in numbers to those few memorized formulas, and most everyone passed. Didn't learn how to use trig I had to go back to the trig book during Calc 1 semester (which was a constant pain to have to do). Wish I would have taken it during a regular semester.

At my current university, my professor doesn't teach calc 1 or 2 during summer exactly for the reason Mark44 stated. He is not willing to sacrifice content due to the semester timeframe, thus ensures all his students are held to the appropriate standard.

So taking a summer math semester probably depends on how much of calc 2 you already know and/or are comfortable just barely covering in class.
 
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