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

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1 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

2 Friday, August 25, 2017 MAT 145

3 Friday, August 25, 2017 MAT 145

4 Friday, August 25, 2017 MAT 145

5 Friday, August 25, 2017 MAT 145

6 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

7 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

8 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

9 Friday, August 25, 2017 MAT 145

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

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

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

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

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

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

16 Friday, August 25, 2017 MAT 145

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

18 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

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