I know more calculus than precalc (entering univ. in the fall)

[Null_]

Here's the deal...I had a really bad precalc teacher in high school. She had a baby a week into the course and we had a generic watch-movies, do crossword puzzles sub for the rest of the year. The class made me unmotivated for math, so I didn't try to learn anything on my own.

This year in ap calculus, I had a good teacher, but a slow class. We only spent about 2 weeks on integrals. I plan to self-study Calculus this summer. I don't know much trig other than what I've had to use in calculus.

So far it's been okay just picking up on the trig that I need to know as I'm learning in Calculus. Is it fine to continue like this, or should I spend a week or two reviewing solely trig?


I'm also going to self-study physics some this summer because I've never taken a class (scheduling issues...) I was given a textbook for scientists and engineers. :)

I'm going to school for engineering (chemical, most likely). I really enjoy calculus. I got a 710 on the Math IIC sat subject test a few weeks ago. I am most positive that I got all of the alegbra questions right and only missed trig. I also expect to get a 4 on the AB calc test, to give you some idea of comparison to others.

 

[thrill3rnit3]

I'm in the same boat, and I haven't had any trouble yet. I just finished learning real analysis and some group theory this semester. If I need some pre-calc stuff I just go back to the book and figure out what I'm missing.

 

[mg0stisha]

You'll definitely want to get to know your trig functions inside and out (however you decide to do this is up to you, do it the way in which you'll learn best). The only other thing that screwed me up because of my absence of pre-calc knowledge was conic sections (we briefly covered these again in Calc II), but if you know your trig well you should be just fine for beginning calculus.

 

[ehilge]

the main things would be your units circle and all of the trigometric identities which you probably have been exposed to. I would try to have the basics memorized though. You'll find it useful later on.

 

[rezeew]

I understand that everyone learns at their own pace and has different experiences with teachers and subjects. It seems like you have had some challenges with your precalculus class, but you have taken the initiative to self-study and improve your understanding of calculus. That is commendable and shows your determination to succeed in your academic pursuits.

In terms of your question about whether to spend time solely reviewing trigonometry, it ultimately depends on your comfort level and understanding of the trigonometry concepts that are relevant to calculus. If you feel confident in your ability to pick up the necessary trigonometry as you continue to learn calculus, then it may not be necessary to spend a significant amount of time reviewing solely trigonometry. However, if you feel that you are struggling with certain trigonometry concepts and it is affecting your understanding of calculus, then it may be beneficial to spend some time reviewing those concepts.

As for self-studying physics, it is great that you are taking the initiative to learn a new subject on your own. However, it is important to keep in mind that physics is a complex subject and it may be challenging to fully grasp the concepts without the guidance of a teacher. If possible, I would recommend taking a physics class or seeking out a tutor to supplement your self-study.

Overall, it sounds like you have a strong foundation in mathematics and a passion for calculus, which will be beneficial for your future studies in engineering. Keep up the determination and hard work, and don't be afraid to seek out additional help or resources if needed. Good luck in your academic journey!