1. 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

2. Wednesday, August 22, 2018
MAT 145

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

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

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

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

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

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

9. Wednesday, August 22, 2018
MAT 145

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

11. 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

12. Wednesday, August 22, 2018
MAT 145

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

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17. 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

18. 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

19. 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

20. Wednesday, August 22, 2018
MAT 145

21. Wednesday, August 22, 2018
MAT 145