### theMathemagician.com

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#### Providing help with all Math, including

• Arithmetic
• Algebra
• Geometry
• Trigonometry
• Calculus
• Test Prep for SAT, ACT, and GRE

## Calculus Tutoring

A college or high school calculus class will typically only study two things, the slope of a curve (called the derivative) and the area under the curve (integral).  The beauty of this is the vast uses for these two items depending upon what the curve represents.

Calculus studies how things change.  It is difficult to imagine how to measure something that is changing right at the instant you take the measurement.  However, it is simple to visualize the graph of a function, or curve, that is going up and thus increasing, or going down and decreasing.  Steep changes fast and shallow changes slow.

Calculators can do much of the work of calculus for the student, but it is still important to know the mechanics behind the formulas.  When I learned calculus we had simple calculators that would perform +, -, *, /, and square root.  A calculator that would do logrithmic functions cost 10x more.  It took a small computer at that time to do what a calculator will do today.  Therefore, even though I can show a student how to do it all on a calculator, I can teach a student what it all means and how to do calculus while stranded on a desert island, without batteries.  This helps study for the AP calculus test. A curve that is increasing slowly (>), increasing faster (>>), and decreasing quickly (>>>).