AP Calculus AB Calculus semester I / Differentiation

 Why study Calculus?

Because Calculus is the study of change...  All things change!  niloo jalilvand

What if you could predict the consequences of that change? Aha! You need Calculus.
Calculus is the study of how things change- It is the framework of how to construct relatively simple quantitative models of change.
Lets put it this way:
Remember slopes in Algebra & Geometry? If you liked slopes, then you will love this class, because in Calculus you can find the instantaneous rate of change at any given moment.

There are two parts to Calculus: I) Differentiation 2) Integration.

The following attachments are all the documents for semester I) Differentiation.

Limits-Sample Quiz (PDF 17 KB)
continuity/ Differentiablity/ Limits (DOC 13 KB)
Sample: 5 minute Pop-Quiz/ Derivatives (DOC 19 KB)
Power Point Notes on Differentiability and Graphing Calculator (PPT 1.64 MB)
Power Point Notes Differentiation Rules (PPT 0.99 MB)
Limits of Piecewise Functions- Examples & Key (PDF 61 KB)
Limits / Asymptotes- Examples & Key (PDF 76 KB)
Discontinuities and their Limits- Examples & key (PDF 1.43 MB)
Test 1 Limits- Sample with key (PDF 1.25 MB)
Intermediate Value Theorem Notes (BMP 1.05 MB)
Intermediate Value Theorem/ Limits and Continuity- Notes (BMP 1.01 MB)
L'Hopital's Rule - Notes (BMP 1.01 MB)
Relative Maxima & Minima (BMP 1.01 MB)
Derivative Applications- Sample problems & Solutions (BMP 1.01 MB)
Exteme Values(Absolute & Relative) Rules for First Derivative Test (BMP 1.05 MB)
Exteme Values(Absolute & Relative) Rules for First Derivative Test- samples & Solutions (BMP 1.01 MB)
Second Derivative Test- Notes, Samples & Solutions (BMP 1.01 MB)
Second Derivative Test- Notes, Samples & Solutions More examples (BMP 1.01 MB)
Graphs of f f' f' Notes, Examples & Solutions (BMP 1.09 MB)
Power Point Notes- Velocity, Speed, and Rates of Change (PPT 35 KB)
Power Ponit Notes- Derivatives of Trig Functions (PPT 79 KB)

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