Chapter+5

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=Chapter 5: The Definite Integral: =

Section 5.1: Estimating with Finite Sums
Key Concepts:
 * Distance Traveled
 * Rectangular Approximation Method (RAM)
 * Volume of a Sphere
 * Cardiac Output
 * Assignment: Pg 270: 1-8, 10, 13-15, 18, 22, 24, 25, 28, 30**
 * Due: 1/15/2013 not accepted after 1/16/2013 **

Key Concepts

 * Riemann Sums
 * Terminology and Notation of Integration
 * Definite Integrals and Area
 * Constant Functions
 * Integrals on a Calculator
 * Discontinuous Integrable Functions
 * Assignment: Pg 282: 3-27(3rds), 33-35, 37, 40**
 * Due: 1/17/2013 not accepted after 1/18/2013 **

Section 5.3: Definite Integrals and Antiderivatives
Key Concepts:
 * Properties of Definite Integrals
 * Average Value of a Function
 * Mean Value Theorem for Definite Integrals
 * Connecting Differential and Integral Calculus
 * Assignment: Pg 290: 1, 3, 4, 6, 8, 10, 11, 14, 15, 18, 19, 22, 23, 28, 29, 34, 36, 40, 43, 51**
 * Due: 1/25/2013 not accepted after 1/28/2013 **

Section 5.4: Fundamental Theorem of Calculus
Key Concepts:
 * Fundamental Theorem, Part 1
 * Graphing Integral Functions
 * Fundamental Theorem, Part 2
 * Area Connection
 * Analyzing Antiderivatives Graphically
 * Assignment: Part I: Pg 302: 2-26 even Part II: Pg 302: 27-51 (3rds), 58, 64, 74**
 * Due: 1/29/2013 not accepted after 1/30/2013 **

Graded Homework: Sections 5.3-5.4: [[file:5.3-5.4 Graded Homework (Student).pdf]]

 * Due: 1/30/2013 not accepted after 1/31/2013 **

Section 5.5: Trapezoidal Rule
Key Concepts:
 * Trapezoidal Approximations
 * Other Algorithms
 * Error Analysis
 * Assignment: Pg 312: 1, 4, 7, 9, 10, 13, 16, 19, 23, 25-28**
 * Due: 2/1/2013 not accepted after 2/4/2013 **