Calculus

>>7720583
Seems like Calc 2 to me. Your teacher may be trying to prepare you for the next level, but it still seems off.

integration by parts, volume by rotation, infinite series etc
is usually calc 2+ stuff. My Calc 1 class stopped at basic integrals

>>7720583
Shit man that's quite advanced for calc I. No sure about other places but in my uni we had:
-infinite sequences and serieses
-functions
-continuous functions
-derivatives

A shit ton of material on each subject, of course. Integrals were calc II, calc III was the fancy n-dimensional version of calc I. Diff eqs were a different course altogether.
Good luck m8

Yeah my calc 1 stopped at basic integration. If you get past it at least you'll be ahead of the game for calc 2.

Depends on your school. We did most of this in half a year in high school, but I was in a STEM "direction" in high school.

Op here. I've gotten a pretty decent grasp over most of it, but my teacher barely gives any partial credit at all for even minor errors. Coupled with the fact that I have an hour total to take a comprehensive final over all of these topics and more, its a bit stressful considering im going to have to do really well to save my grade. Thanks for your input, its much appreciated. Studying for it as we speak

>>7720583
We covered that material in calc 1 for me (integration by parts and 1st order odes were brought up again in calc 2).
It could be because I took it in high school, so they had twice the amount of time to cover the material.

>>7720583
Learned all that in Calc I. It's not a bad thing to learn but its kind of all over the place

>>7720655
To add onto it in Calc II I was taught IBP, series, and parametric functions. Then in Calc III was multivariables, n-integration, and some other fancy stuff like LaGrange theorem

>>7720583
Yea that seems like a little bit too much calc 1, my calc 1 class didn't have diff eqs, and improper integrals, infinite series, or eulers method

>>7720583
Do you learn trapezium/simpson rule in calc 1

>>7720718
We skipped over simpson's rule, but we did learn estimation by right/left/midpoint/trapezoids and Riemann sums

Volumes, integration by parts, and Taylor/Maclaurin series are usually second semester.

That said, first semester often involves some basic analysis and numerical methods that you seem to have skipped over (Newton-Raphson, Simpson, more general Runge-Kutta methods). Indefinite integrals are usual for first semester.

We did all of this and more in a semester of high school, though (but less rigorously). I've never been entirely sure why university drags it out to a whole year. Maybe it was just easier because I was seeing much of it for the second time.

That's calc 2 definitely. Calc 1 is separation of variables, optimization, mean value theorem, u-substitution, related rates, and slope fields. You did a lot of calc 2 stuff.

>>7720583
Differential equations just means differentiation and that is simply another name for getting a derivative... so (d/dx) (x^2) = 2x is a differential equation...

Or else I'm retarded and don't know what it means

File: Wilson.jpg (42KB, 600x337px) Image search: [Google]

42KB, 600x337px

>>7720583
>mfw I was learning this in high school
I should have looked more into the textbook because the only info that was retained was from Calc 1.

>>7720846
This is an example of a differential equation.
y'' + x' = xy''

I learned volumes and integration by parts in Calc 1.
not infinite series though

Do you cover complex numbers in calc1

Yeah, it is.

Calc 1:
Everything about limits, derivatives and integrals using functions of one variable.

Calc 2:
Series, series of Taylor, multivariable functions, limits of multivariable functions, everything about partial derivatives, gradient, optimization, double integrals, triple integrals, multivariable integrals, line integrals, surface integrals, curl and divergence, Green's theorem, Stoke's theorem and Gauss theorem.

Calc 3:
Differential equations, Laplace transform, Fourier transform and Z transform.

>>7721252
This is wrong or you're in a different country. It could also be that you learned early transcendental functions or later transcendental functions first. Even then it depends on what you learned in precalc. It's not unheard of for students to first encounter logarithms and trigonometric functions until calc 2. Some countries don't even go by calc 1, calc 2, calc 3, ODE, and PDE but lump it all into mathematical analysis.

The thing about calculus is that it's so vast. I've been doing physics problems as part of my calculus curriculum. Calculus uses geometry, trigonometry, and a ton of algebra while having many applications in chemistry and physics.

The one thing I would change about high school math is the ordering. I remember learning about matrices in 10th grade but I haven't seen them since at all and I'm entering calc 3 next semester.

Some schools combine calc 1 and 2 since calc 1 is mostly high school review.

Especially if its a calc class meant for engineering students.

>>7720599
This. Calc 1 is a high-school course in my country and it stops at integration by substitution.

you're getting rused OP

>>7720583
op your image is fucking gay i do calculus drunk all the time

>>7723543
the derivative of martini with respect to t is -marn

>>7723543
Don't drink and derive, but you can be as slammed as you want when you're integrating