Calculus I (MAT 145) Dr. Day Friday August 25, 2017

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Presentation transcript:

Calculus I (MAT 145) Dr. Day Friday August 25, 2017 Return Quiz #1 Incoming Assignment: Position & Velocity #1 thru #5 Two-Point Slope to One-Point Slope: Position & Velocity Quiz #2 For Next Time . . . Friday, August 25, 2017 MAT 145

Friday, August 25, 2017 MAT 145

Friday, August 25, 2017 MAT 145

Friday, August 25, 2017 MAT 145

Friday, August 25, 2017 MAT 145

Approachment As the values of some set of inputs tend to get closer and closer to a number, the corresponding list of outputs get closer and closer to some number. Friday, August 25, 2017 MAT 145

Transitioning from . . . Approachment As the values of some set of inputs tend to get closer and closer to a number, the corresponding list of outputs get closer and closer to some number. … to … an equivalent mathematical representation Friday, August 25, 2017 MAT 145

The concept of . . . LIMIT! This says that the values of f(x) tend to get closer and closer to the number L as x gets closer and closer to the number a (from either side of a) regardless of the value of f(a). Friday, August 25, 2017 MAT 145

Friday, August 25, 2017 MAT 145

Change, Change, Change! Friday, August 25, 2017 MAT 145

Change, Change, Change! Friday, August 25, 2017 MAT 145

Change, Change, Change! Friday, August 25, 2017 MAT 145

Accumulate, Accumulate, Accumulate! How much snow fell? Friday, August 25, 2017 MAT 145

Accumulate, Accumulate, Accumulate! How much snow fell? Friday, August 25, 2017 MAT 145

Accumulate, Accumulate, Accumulate! How much snow fell? Friday, August 25, 2017 MAT 145

Friday, August 25, 2017 MAT 145

Making Connections CHANGE ACCUMULATE CALCULUS! PRE-CALCULUS! LIMITS FUNCTIONS ACCUMULATE PRE-CALCULUS! Friday, August 25, 2017 MAT 145

Algebra Will Get You Every Time Expanding and Factoring, Reducing Fractions, and Other Ways to Simplify Expressions Solving Equations Functions and Their Properties Linear Functions, Other Polynomial Functions, Exponential Functions, Logarithmic Functions, Rational Functions, Trig Functions, and Others Domain and Range, Asymptotes, Increasing and Decreasing Intervals, Extreme Values, End Behavior Friday, August 25, 2017 MAT 145