Exploring Accumulations of Change (Topic 6.1)
First up, let's tackle the BIG idea: what even *is* accumulation? Think about it like this: your car
Approximating Areas with Riemann Sums (Topic 6.2)
Now, before we jump to finding exact accumulations, sometimes we need to *estimate*! Think about try
Riemann Sums, Summation Notation, and Definite Integrals (Topic 6.3)
Alright, we've approximated, now let's get *exact*! This is where we take our Riemann Sums and push
The Fundamental Theorem of Calculus (FTC) & Accumulation Functions (Topic 6.4)
And now, for the 'A-HA!' moment of calculus, the crown jewel, the absolute game-changer: The Fundame
Antiderivatives and Indefinite Integrals: Basic Rules and Notation (Topic 7.1)
Before we can even *use* the FTC to evaluate integrals, we need to know how to 'un-differentiate' a
Antidifferentiation by Substitution (Topic 7.2)
Okay, sometimes finding an antiderivative isn't as simple as applying a basic rule. That's when we b
Separable Differential Equations (Topic 7.3)
Alright, let's talk about differential equations! These are equations that involve derivatives. In t
Applying Properties of Definite Integrals (Topic 7.4)
Finally, let's wrap up with the handy properties of definite integrals! Just like derivatives have r