Workbook 30

Chapter 1: Definite Integrals

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Objectives

Understand how to calculate definite integrals and their properties.

Prerequisites

Understand how to calculate riemann sums and area under the curve. from Chapter 4: "Riemann Sums" in Workbook 29
Understand how to find general antiderivatives, inverse derivative rules, and find general solutions and specific solutions. Find indefinite integrals from Chapter 3: "Antiderivatives" in Workbook 29

Chapter 2: The Fundamental Theorem of Calculus

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Objectives

Understand and apply both parts of the FTC, and be able to evaluate definite integrals. Also, understand how to find the average value of a function.

Chapter 3: Arc Lengths

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Objectives

Use integration to calculate the length of a curve or arc. Understand how to integrate for both 2D and 3D functions.

Prerequisites

Understand how to calculate definite integrals and their properties. from Chapter 1: "Definite Integrals" in Workbook 30
Understand and use the pythagorean theorem from Chapter 6: "Pythagorean Theorem" in Workbook 04

Chapter 4: Continuous Probability Distributions

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Objectives

Understand how to interpret continus uniform distributions, cumulative probability functions, and probability density functions.

Prerequisites

Understand the basis of conditional probability and how to find the probability of two dependent events . from Chapter 2: "Introduction to Discrete Probability" in Workbook 28
Understand how to calculate conditional probability. Be able to use the chain rule for probability from Chapter 1: "Conditional Probability" in Workbook 29
Understand how to find probability of independent events. Understand that all probabilities must sum to 1. from Chapter 2: "Introduction to Discrete Probability" in Workbook 28
Understand Bayes' theorem and be able to apply it to new information from Chapter 2: "Bayes' Theorem" in Workbook 29
Understand the concept of uniform distribution. Recall bell curve from previous chapters. from Chapter 2: "Introduction to Discrete Probability" in Workbook 28
Understand how to calculate definite integrals and their properties. from Chapter 1: "Definite Integrals" in Workbook 30

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