'Critical points' diaporamas de présentation

Chemistry 231

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Maxima and Minima of Functions

Maxima and Minima of Functions. Maxima and minima of functions occur where there is a change from increasing to decreasing, or vice versa. Maxima and Minima of Functions. Maxima and minima of functions occur where there is a change from increasing to decreasing, or vice versa. 4. -3.

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Critical Points for Critical Thinking

Critical Points for Critical Thinking. Peter Appelbaum Arcadia University. Is it hard to teach critical thinking?. Are we always disappointed?

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Perspective in Art

Perspective in Art. Why study Perspective in Art?. Increase knowledge of parallel lines Introduce the concept of convergence Gain a historical perspective of the connection between Renaissance Artists and Mathematicians Learn about the interconnectedness between math and other disciplines.

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Effective History Teaching

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Effective Business Communication

Effective Business Communication The structure of effective Presentations and Reports. Communication Checklist How do you construct an effective presentation or report? Who is your audience? What are they interested in? What do you want them to remember?

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Effective Business Communication

Effective Business Communication. The structure of effective Presentations and Reports. Communication Checklist. How do you construct an effective presentation or report? Who is your audience? What are they interested in? What do you want them to remember?.

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Local Extreme Points

Local Extreme Points. Objectives. Students will be able to Find relative maximum and minimum points of a function. First-Derivative Test for Local Extrema. Suppose c is a critical point for y = f ( x )

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Higher Derivatives Concavity 2 nd Derivative Test

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Graphing Using Derivatives

Graphing Using Derivatives. Step 1. find the 1 st derivative set it equal to zero solve it. f ( x ) = x 3 - 3 x 2. f '( x ) = 3 x 2 - 6 x = 3 x ( x -2) = 0 x = 0, x = 2 . Step 2. Making the 1 st derivative chart:

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Applications of Extrema

Applications of Extrema. Lesson 6.2. A Rancher Problem. You have 500 feet of fencing for a corral What is the best configuration (dimensions) for a rectangular corral to get the most area One side of the rectangle already has a fence. Sample Problem.

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Concavity and Second Derivative Test

Concavity and Second Derivative Test. Lesson 4.4. ?. Concavity. Concave UP Concave DOWN Inflection point: Where concavity changes. At inflection point slope reaches maximum positive value. After inflection point, slope becomes less positive. Slope starts negative.

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One view on integrating Genomics and Informatics into the Undergraduate Nursing Curriculum

One view on integrating Genomics and Informatics into the Undergraduate Nursing Curriculum. Prepared by Patti Brennan and Stephanie Gilbertson-White Presented to UPC in April, 05; Update Spring, 07. Work to date. Identify and disseminate genomics and informatics competencies (September 04)

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2nd Midterm Review

2nd Midterm Review. Friday, April 3 No notes/calculators Coverage: Through Section 6.1 (Except for Sections 5.6 and 5.7) Solutions will be posted on web. First and second derivatives. Sign of 1st derivative implies increasing/decreasing Sign of 2nd derivative implies concave up/down

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Bifurcation *

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A Summary of Curve Sketching

A Summary of Curve Sketching. Lesson 4.6. How It Was Done BC (Before Calculators). How can knowledge of a function and it's derivative help graph the function? How much can you tell about the graph of a function without using your calculator's graphing?.

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Curve Sketching

Curve Sketching. Lesson 5.4. Motivation. Graphing calculators decrease the importance of curve sketching So why a lesson on curve sketching? A calculator graph may be misleading What happens outside specified window?

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Let fc(z)=z^2+c

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Review

Review. Regression Model Assumptions Calculus Derivation, critical points (Excel, plots, etc.) Deriving OLS estimators (b 0 , b 1 ) Excel calculation of OLS results Steps, plots, analysis Larger models Model interpretation Residual Analysis Diagnosing problems. Exam Procedures.

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