Topic 5 – Applying the Integral

Again, we must apply our fundamental understanding of the definite integral towards real world applications. We will apply the definite integral towards real world problems previously unsolvable.

Topic 6 – Differential Equations

In this topic, we apply the indefinite integral and build on our knowledge of differential equations towards initial value problems and growth/decay models.

Topic 1 – Limits and Continuity

In this topic, we review continuity and how limits can be used to prove continuity. In addition, we will use limits to open the door to the derivative – the forefront of Calculus.

Topic 2 – The Derivative

Now that we have a fundamental understanding of computing the instantaneous rate of change of a function, the derivative, we will explore ways to drastically reduce the time it takes us to complete such problems.

Topic 3 – Applying the Derivative

“Knowing is not enough; we must apply.” We will now apply our understanding of the derivative towards real world problems we could not previously solve.

Topic 4 – The Integral

“We’ve gone forwards with the derivative, and now it’s time we work backwards. In this topic, we introduce the anti-derivative and its basic uses with functions and curves.

Topic 5 – Applying the Integral

Again, we must apply our fundamental understanding of the definite integral towards real world applications. We will apply the definite integral towards real world problems previously unsolvable.

Topic 6 – Differential Equations

In this topic, we apply the indefinite integral and build on our knowledge of differential equations towards initial value problems and growth/decay models.