Calculus 1 (I'm taking the class in a week.)

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Discussion Overview

The discussion centers around preparatory advice for taking a Calculus 1 class, including recommendations on prior knowledge in algebra and trigonometry, study resources, and personal experiences with the subject. The scope includes conceptual understanding, study strategies, and the importance of foundational skills.

Discussion Character

  • Exploratory
  • Technical explanation
  • Conceptual clarification
  • Homework-related

Main Points Raised

  • Some participants suggest being comfortable with College Algebra and Algebra II topics, as well as trigonometric functions and identities.
  • Several contributors emphasize the importance of algebra skills for success in Calculus 1, noting that many problems involve algebraic simplification.
  • One participant mentions that while calculus itself may be straightforward, the challenge often lies in recalling trigonometric identities and algebraic techniques.
  • Another participant shares that their experience in Calculus 1 involved significant use of trigonometry, suggesting that review may be beneficial.
  • Some participants express differing views on the necessity of trigonometric knowledge in Calculus 1, with some arguing it is less critical compared to Calculus 2.
  • One contributor highlights the importance of the instructor's teaching style and the need for a solid understanding of basic concepts before tackling calculus.
  • Another participant advises that understanding the reasoning behind definitions and theorems is crucial, alongside memorization of key formulas.

Areas of Agreement / Disagreement

Participants generally agree on the importance of algebra and trigonometry for success in Calculus 1, but there are competing views regarding the extent to which trigonometric identities are necessary for the course. The discussion remains unresolved on the specific role of trigonometry in Calculus 1 versus Calculus 2.

Contextual Notes

Some participants mention personal struggles with algebra and trigonometry, indicating that individual preparation may vary. There is also mention of different teaching styles and textbook approaches that could influence the experience of learning calculus.

Who May Find This Useful

Students preparing to take Calculus 1, educators looking for insights on student preparation, and individuals interested in understanding the foundational skills necessary for success in calculus courses.

  • #31
ChiralWaltz said:
Not necessarily true. It depends on what the function is. Derivatives and anti-derivatives are rules that can be applied to functions. Some functions will allow you to derive/anti-derivative more than once. Integration is where your anti-derivative practice is going.

Look at the chain rule if you haven't had a chance yet.

We are not allowed to use the chain rule yet. We are still manipulating our functions and derivatives by graphing it.

I recently learned how to take a function and draw a tangent slope barely touching the function. Then using rise/run to get a slope. Another graph I would trace the lines out getting my derivative of the function.

How do I approach anti-derivatives by graphing?
 
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  • #32
krobben said:
From my experience in all of the calc courses, this is all that matters...

1. WHO you learn from. Calculus is more about ideas/concepts where as college algebra is just rhetoric memorization. Who guides you in learning is everything in calc. If your professor is standing up there speaking total gibberish to you, then seriously consider substituting that time with a personal tutor or a different lecture professor. Calculus is so easy if its explained correctly. Khan Academy is probably your best friend for as far as tutoring goes. My experience from calculus was that lecture was straight boring and helpless and so was recitation. So I found a good book on calculus, learned from it and never showed up to another lecture or recitation in calc for all 3 courses did well on the exams and tests.

2. Know your basics. Seriously, don't waste your time with calculus if you can't score an 80 on a college algebra final right now. Yeah, you could skid through one hell of a bumpy semester with poor college algebra preparation as I've seen my friends do whereas I spent maybe 3 hours a week in every calculus course and most of it was on just the theory.

I take back what I said about Khan Academy being a good source. He teaches calc differently than I am use to because when he applies chain rule he derives it from the inside out. I thought we are suppose to derive from the outside in.
 

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