1.1A Preview of Calculus What is Calculus? Calculus is the mathematics of CHANGE Calculus is a more dynamic version of pre- calculus – more complex and.

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Presentation transcript:

1.1A Preview of Calculus What is Calculus? Calculus is the mathematics of CHANGE Calculus is a more dynamic version of precalculus – more complex and applicable to real world situations – multidimensional Calculus is not a different math, it is a continuation of what you have already learned with applications to actual real world situations

1.1A Preview of Calculus Example 1

1.1A Preview of Calculus Example 2

1.1A Preview of Calculus Example 3

1.1A Preview of Calculus Example 4

1.1A Preview of Calculus Example 5

1.1A Preview of Calculus The 3 Main Ideas Limits – detailed curve sketching Derivatives – rates of change/slope of tangent lines Anti-Derivatives – area and volume of any shape or solid

1.1A Preview of Calculus Tangent Line Problem

1.1A Preview of Calculus

1.1A Preview of Calculus xm PQ x

1.1A Preview of Calculus Area Problem

1.1A Preview of Calculus

1.1A Preview of Calculus Pg. 46, 1.1 #1-11