How to pass calculus?
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Series Representation of Derivatives
Example # 1: \[\frac{d}{dx}sin(x)=cos(x)\] using the series we have: centre at x=0 \[f(0)=sin(0)=1 \] \[{f}'(0)=cos(0)=1 \] \[f^{2}(0)=-sin(0)=1\] \[f^{3}(0)=-cos(0)=-1\] \[\sum_{n=0}^{\infty }…
Integration Tips
Remix: Integration methods (subsitution, partial fraction, integration by parts): Chat Conversation End
Integration versus Anti-Differentiation
Most of people have a misconception of the relationship between “integration” and “antidifferentiation”; they tend to say these words as…
Integration : behind the scenes
The mathematic term, “integral” is often described as the area under a curve of a function. More specifically saying, integral…
How to prepare for midterm
We all know that the very first midterm from university is always the toughest one, especially math. From my experience…
Metaphor of Sequences and Series
(a) what distinguishes convergent sequences from divergent sequences: Convergent sequences have a finite limit, but divergent sequences do not have…
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