Chapter+4

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=Chapter 4: Applications of Derivatives: = = = =Section 4.1: Extreme Values of Functions= Key Concepts:
 * Absolute (global) extreme values
 * Local (relative) extreme values
 * Finding extreme values
 * Assignment: Pg 193: 3-30(3rds), 35, 37, 40, 43, 54**
 * Due: 12/5/2012 not accepted after 12/6/2012 **

Section 4.2: Mean Value Theorem
Key Concepts:
 * Mean value theorem
 * Physical interpretation
 * Increasing and decreasing functions
 * Other consequences
 * Assignments: Pg 202: 3-33(3rds), 37, 43, 45, 48, 58**
 * Due: 12/10/2012 not accepted after 12/11/2012 **

Seciton 4.3: Connecting //f'// and //f"// with the graph of //f//
Key Concepts:
 * First derivative test for local extrema
 * Concavity
 * Points of inflection
 * Second derivative test fo local extrema
 * Learning about functions from derivatives
 * Assignments: Pg 214: 1-11(odd), 15-39(3rds), 44, 48**
 * Due: 12/12/12 not accepted after 12/13/2012 **

Section 4.4: Modeling and Optimization
Key Concepts:
 * Examples from Mathematics
 * Examples from Business and Industry
 * Examples from Economics
 * Modeling Discrete Phenomena with Differentiable Functions
 * Assignment: Pg 226: 1, 5, 9, 12, 17, 19, 20, 27, 31, 36, 40, 41, 43, 45, 46**
 * Due: 12/18/2012 not accepted after 12/19/2012 **

Section 4.5: Linearization and Newton's Model
Key Concepts:
 * Linear Approximation
 * Newton's Method
 * Differentials
 * Estimating Change with Differentials
 * Absolue, Relative, and Percentage Change
 * Sensitivity to Change
 * Assignment: Pg 242: 3, 5-9, 11, 14, 15, 18, 19, 22, 25, 28, 31, 34, 37, 40, 47, 52, 64, 65**
 * Due: 12/21/2012 not accepted after 1/2/2013 **

Graded Homework: Sections 4.4-4.5: [[file:4.4-4.5 Graded HW.pdf]]

 * Due: 1/2/2013 not accepted after 1/3/2013 **

Section 4.6: Related Rates
Key Concepts:
 * Related Rate Equations
 * Solutions Strategy
 * Simulating Related Motion
 * Assignment:**** Pg 251: 3-42 (3rds) **
 * Due: 1/7/2013 not accepted after 1/8/2013 **