Calculus I (MAT 145) Dr. Day Wednesday, August 22, 2018

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Presentation transcript:

Calculus I (MAT 145) Dr. Day Wednesday, August 22, 2018 Current Assignments Reading, App, SurveyMonkey responses WebAssign Tasks Big Ideas of Calculus Change, Change, Change! Accumulate, Accumulate, Accumulate! Admin Details from Day #1: Questions? Two-Point Slope to One-Point Slope Quiz #1 For Next Time . . . Wednesday, August 22, 2018 MAT 145

Wednesday, August 22, 2018 MAT 145

Change, Change, Change! Wednesday, August 22, 2018 MAT 145

Change, Change, Change! Wednesday, August 22, 2018 MAT 145

Change, Change, Change! Wednesday, August 22, 2018 MAT 145

Accumulate, Accumulate, Accumulate! How much snow fell? Wednesday, August 22, 2018 MAT 145

Accumulate, Accumulate, Accumulate! How much snow fell? Wednesday, August 22, 2018 MAT 145

Accumulate, Accumulate, Accumulate! How much snow fell? Wednesday, August 22, 2018 MAT 145

Wednesday, August 22, 2018 MAT 145

Making Connections CHANGE ACCUMULATE CALCULUS! PRE-CALCULUS! LIMITS FUNCTIONS ACCUMULATE PRE-CALCULUS! Wednesday, August 22, 2018 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 Wednesday, August 22, 2018 MAT 145

Wednesday, August 22, 2018 MAT 145

Secant-line Slopes to Tangent-line Slope Wednesday, August 22, 2018 MAT 145

Wednesday, August 22, 2018 MAT 145

Wednesday, August 22, 2018 MAT 145

Wednesday, August 22, 2018 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. Wednesday, August 22, 2018 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 Wednesday, August 22, 2018 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). Wednesday, August 22, 2018 MAT 145

Wednesday, August 22, 2018 MAT 145

Wednesday, August 22, 2018 MAT 145