1. TOPIC 1 Preparing for Calculus
A) Exponential and Logarithmic Functions B) Properties of Logarithms C) Exponential and Logarithmic Equations

2. 8/21/2018
Discussion and Notes
Interactive Practice and Examples
Classwork
pg including discussion of concepts, definition and properties. Domain and range of exponential and logarithmic functions. Graph of exponential and logarithmic functions, brief explanation about horizontal, vertical and oblique asymptotes. Solving exponential and logarithmic equations. Relation between exponential and logarithmic functions.

3. 8/22/2018
Notes, Interactive Practice and Examples including properties of logarithms
and solving logarithmic equations.
Properties of Logarithms and examples from pgs
Classwork worksheet (Resume # 12)
8/23/2018
Practice worksheet

11. 8/24/2018
Complete practice worksheet online 30-40

12. TOPIC 2 Functions
A) Symmetry (Respect to the origin, the x-axis or the y-axis. B) Continuity (Continue or discontinue) C) Monotony (Increasing, decreasing) D) Maxima and Minima (relative and Absolute)

13. 8/27/2018
Check the last two questions of lesson 1.1 practice (graphs).
Discuss concepts of continuity, symmetry, monotony, relative and absolute maxima and minima.
HW: Study for Lesson 1.1 Test on Tuesday 8/28/2018

14. A function f(x) is discontinuous at those values of x where
Discontinuity
A function f(x) is discontinuous at those values of x where
- The function is undefined.
- The function has holes.
- The function has vertical asymptotes.
- The function is a piecewise function.
Symmetry
- If f(x) = - f(x), then f(x) is symmetric about the x-axis.
- If f(x) = f(-x), then f(x) is symmetric about the y-axis, and the function is even.
- If f(-x) = - f(x), then f(x) is symmetric about the origin and the function is odd.
Monotony
- A function is increasing in an open interval I, if for any two values 𝒙 𝟏 , 𝒙 𝟐 in I and
𝒙 𝟏 < 𝒙 𝟐 , f( 𝒙 𝟏 ) < f( 𝒙 𝟐 )
- A function is decreasing in an open interval I, if for any two values 𝒙 𝟏 , 𝒙 𝟐 in I and
𝒙 𝟏 < 𝒙 𝟐 , f( 𝒙 𝟏 ) > f( 𝒙 𝟐 )
- A function is constant in an open interval I, if for any two values 𝒙 𝟏 , 𝒙 𝟐 in I and
𝒙 𝟏 < 𝒙 𝟐 , f( 𝒙 𝟏 ) = f( 𝒙 𝟐 )

15. 8/28/2018 TEST Logarithmic and Exponential functions

17. 8/29/2018 Relative extrema (Maximum or minimum).
Relative or local extremum occurs in an open interval.
Absolute extrema (Maximum or minimum).
Absolute extremum occurs on a closed interval. The absolute maximum or minimum requires you to check the endpoints of the interval to see if the y-values are greater than or less than the extrema found within the interval.
-Critical numbers occur where the function changes from decreasing to increasing and vice-versa.
- Inflection points those points where the concavity of the function change. However, inflection may change at one of the undefined values, but if it is not in the domain, it is not part of the graph, cannot be an inflection point.
-If f is continuous on a closed interval [a,b], then f has both a minimum and a maximum on the interval.

18. A local maximum (or minimum) is a point (c,f(c )) such that f© is the greatest (or the least) value of the function in some interval around c. A local minimum or maximum is also called a relative minimum or maximum. The global minimum (or maximum) is the point where f(x) assumes its least (or greatest) value in the domain considered. The global minimum or maximum is also called the absolute minimum or maximum. If the domain is a closed interval (an interval that includes its endpoints), then a continuous function will always have global minimum and maximum points, possibly at one of the endpoints. Critical points are points where the slope of the tangent is zero or is undefined. All extrema – that is, all minima and maxima- happen either at endpoints or at critical points Continuity.pdf 01 - Extrema, Increase and Decrease.pdf

19. 8/31/2018
Explain the Continuity worksheet
9/4/2018
-Continue explaining the Continuity worksheet
9/5/2018
- WORKSHEET Classwork
01 - Extrema, Increase and Decrease.pdf
9/6/2018
-KHAN ACADEMY VIDEO OF EXTREMA
- WORKSHEET Classwork
01 - Extrema, Increase and Decrease.pdf

20. -KHAN ACADEMY VIDEO OF CONTINUITY - WORKSHEET Classwork
01 - Extrema, Increase and Decrease.pdf
9/7/2018

21. TOPIC 3 TRIGONOMETRIC FUNCTIONS
A) Unit Circle. B) Periodic Functions. C) Fundamental trigonometric functions D) Verifying trigonometric identities
9/11/ (9/10/2018 TEACHER PLANNING DAY)

22. 9/11/2018

31. 9/17/ Checking Test

32. 9/13/2018

33. 9/13/2018

39. TOPIC 4 Limits & Continuity
A) Finding Limits graphically and Numerically B) Evaluating Limits Analytically C) Limits Involving Infinity D) Continuity
917/

40. 9/13/2018

41. 9/17/2018

42. 2.1 Evaluating limits by substitution.docx

47. 8/25/2018

54. 9/26/2018

55. 9/27/2018 Resume Question 6

56. 9/27/2018

58. 10/2/2018

59. 10/3/2018

74. 10/5/2018

95. 10/11/2018 Topics to study for the test

96. 10/11/2018 Topics to study for the test

97. 10/11/2018 Topics to study for the test

98. 10/11/2018 Topics to study for the test

99. 10/11/2018 Topics to study for the test

100. 10/11/2018 Topics to study for the test