Applied Calculus (Chapters 1 - 3) - Course cover art

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Applied Calculus (Chapters 1 - 3) - Course — 161 episodes

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Title
1

Chapter 3.8: Applications of the Definite Integral - 01) Introduction

2

Chapter 3.8: Applications of the Definite Integral - 02) Example 1

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Chapter 3.8: Applications of the Definite Integral - 03) Example 2

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Chapter 3.8: Applications of the Definite Integral - 04) Example 3

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Chapter 3.8: Applications of the Definite Integral - 05) Consumer Surplus

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Chapter 3.8: Applications of the Definite Integral - 06) Producer Surplus

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Chapter 3.8: Applications of the Definite Integral - 07) Continuous Income Flow

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Chapter 3.8: Applications of the Definite Integral - 08) Probability Density Functions

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Chapter 3.7: Substitution and Properties of the Definite Integral - 03) Average Value

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Chapter 3.7: Substitution and Properties of the Definite Integral - 04) Derivative of Definite Integral

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Chapter 3.5: Sigma Notation and Areas - 05) Example 2

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Chapter 3.6: The Definite Integral - 01) The Definite Integral and Fundamental Theorem

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Chapter 3.6: The Definite Integral - 02) Practice 1

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Chapter 3.6: The Definite Integral - 03) Practice 2

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Chapter 3.6: The Definite Integral - 04) Properties of the Definite Integral

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Chapter 3.6: The Definite Integral - 05) Area Problem

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Chapter 3.7: Substitution and Properties of the Definite Integral - 01) Substitution and Properties of the Definite Integra

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Chapter 3.7: Substitution and Properties of the Definite Integral - 02) Even and Odd Functions

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Chapter 3.4: Approximation of Areas - 01) Approximation of Areas

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Chapter 3.4: Approximation of Areas - 02) Endpoints

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Chapter 3.4: Approximation of Areas - 03) Practice with Endpoints and Midpoints

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Chapter 3.5: Sigma Notation and Areas - 01) Sigma Notation and Area

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Chapter 3.5: Sigma Notation and Areas - 02) Practice with Summation

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Chapter 3.5: Sigma Notation and Areas - 03) Area Under a Curve

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Chapter 3.5: Sigma Notation and Areas - 04) Example 1

26

Chapter 3.3: The Substitution Method - 01) The Substitution Method

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Chapter 3.3: The Substitution Method - 02) Examples

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Chapter 3.3: The Substitution Method - 03) Technique of Substitution

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Chapter 3.3: The Substitution Method - 04) Generalized Rules

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Chapter 3.3: The Substitution Method - 05) Practice Using Substitution

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Chapter 3.3: The Substitution Method - 06) More Practice wtih Substitution

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Chapter 3.1: Antidifferentiation - Integration - 04) Results with ln "x" and e

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Chapter 3.2: Applications of Antidifferentiation - 01) Families of Antiderivatives

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Chapter 3.2: Applications of Antidifferentiation - 02) Graphs and Particular Solutions

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Chapter 3.2: Applications of Antidifferentiation - 03) Solving Differential Equations

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Chapter 3.2: Applications of Antidifferentiation - 04) Motion Equations: Part 1

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Chapter 3.2: Applications of Antidifferentiation - 05) Motion Equations: Part 2

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Chapter 3.2: Applications of Antidifferentiation - 06) Marginal Cost and Revenue

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Chapter 3.2: Applications of Antidifferentiation - 07) Separable Differential Equations

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Chapter 3.1: Antidifferentiation - Integration - 01) Antidifferentiation

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Chapter 3.1: Antidifferentiation - Integration - 02) More Differentiation Practice

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Chapter 3.1: Antidifferentiation - Integration - 03) Using the Sum/Difference Rule

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Chapter 2.6: Properties of Logarithmic Functions - 14) Logarithmic Differentiation

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Chapter 2.7: Applications of Exponential and Logarithmic Functions - 01) Introduction

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Chapter 2.7: Applications of Exponential and Logarithmic Functions - 02) Investment Example

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Chapter 2.7: Applications of Exponential and Logarithmic Functions - 03) Bacterial Growth Example

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Chapter 2.7: Applications of Exponential and Logarithmic Functions - 04) Radioactive Decay

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Chapter 2.7: Applications of Exponential and Logarithmic Functions - 05) Carbon Dating

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Chapter 2.7: Applications of Exponential and Logarithmic Functions - 06) Logistical Growth and Richtor Scale

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Chapter 2.7: Applications of Exponential and Logarithmic Functions - 07) Sea Lion Hint

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Chapter 2.6: Properties of Logarithmic Functions - 05) Discovering Exponential Property

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Chapter 2.6: Properties of Logarithmic Functions - 06) Using the Property

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Chapter 2.6: Properties of Logarithmic Functions - 07) Derivatives Using Properties

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Chapter 2.6: Properties of Logarithmic Functions - 08) Solving Logarithmic Equations

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Chapter 2.6: Properties of Logarithmic Functions - 09) Solving Exponential Equations

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Chapter 2.6: Properties of Logarithmic Functions - 10) t in Compound Interest Problems

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Chapter 2.6: Properties of Logarithmic Functions - 11) Solving for r and t

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Chapter 2.6: Properties of Logarithmic Functions - 12) Change of Base

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Chapter 2.6: Properties of Logarithmic Functions - 13) Derivative and Change of Base

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Chapter 2.6: Properties of Logarithmic Functions - 01) Properties of Logs

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Chapter 2.6: Properties of Logarithmic Functions - 02) Multiplication Property of Logs

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Chapter 2.6: Properties of Logarithmic Functions - 03) Division Property of Logs

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Chapter 2.6: Properties of Logarithmic Functions - 04) Practice with Properties

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Chapter 2.5: Logarithmic Functions - 11) y equlas in plus minus e

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Chapter 2.5: Logarithmic Functions - 12) Derivative of f of x

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Chapter 2.5: Logarithmic Functions - 13) Generalized Logorithmic

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Chapter 2.5: Logarithmic Functions - 09) Graphs and transformation

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Chapter 2.5: Logarithmic Functions - 01) Introduction to Logs

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Chapter 2.5: Logarithmic Functions - 02) Decay Example: Solve for t, Part 1

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Chapter 2.5: Logarithmic Functions - 03) Decay Example: Solve for t, Part 2

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Chapter 2.5: Logarithmic Functions - 04) Inverse y equals 2 to x

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Chapter 2.5: Logarithmic Functions - 05) Inverse y equals 10 to x

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Chapter 2.5: Logarithmic Functions - 06) Practice evaluating logs

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Chapter 2.5: Logarithmic Functions - 07) Calc. Practice: Napiers Bones

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Chapter 2.5: Logarithmic Functions - 08) Logorithms ph

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Chapter 2.4: The Derivative of e - 07) Extrema and Concave Graphs

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Chapter 2.4: The Derivative of e - 01) Investigating Derivative of e to x

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Chapter 2.4: The Derivative of e - 02) Example 1

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Chapter 2.4: The Derivative of e - 03) Example 2

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Chapter 2.4: The Derivative of e - 04) Example 3

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Chapter 2.4: The Derivative of e - 05) Example 4

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Chapter 2.4: The Derivative of e - 06) Implicit Differentiation

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Chapter 2.2: Exponential Functions - 08) Growth Decay Formulas

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Chapter 2.3: The Number e - 01) Matching the Graphs of Exp Functions

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Chapter 2.3: The Number e - 02) Compound Interest

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Chapter 2.3: The Number e - 03) Discovering e

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Chapter 2.3: The Number e - 04) Practice Compound Continuously

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Chapter 2.3: The Number e - 05) Graph of e to x

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Chapter 2.2: Exponential Functions - 01) A New Function

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Chapter 2.2: Exponential Functions - 02) Exploring Exponential Functions

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Chapter 2.2: Exponential Functions - 03) Practice

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Chapter 2.2: Exponential Functions - 04) Practice 2

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Chapter 2.2: Exponential Functions - 05) Solving Special Exponential Equations

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Chapter 2.2: Exponential Functions - 06) Exponential Functions from Data

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Chapter 2.2: Exponential Functions - 07) Exponential Turtle Example

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Chapter 2.1: Inverse Functions - 03) Composition Property

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Chapter 2.1: Inverse Functions - 04) Example 2

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Chapter 2.1: Inverse Functions - 05) Practice 1

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Chapter 2.1: Inverse Functions - 06) Practice 2

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Chapter 2.1: Inverse Functions - 07) One to One Example

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Chapter 2.1: Inverse Functions - 08) One to One Definition

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Chapter 2.1: Inverse Functions - 09) One to One Practice

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Chapter 2.1: Inverse Functions - 10) Practice with Inverses

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Chapter 2.1: Inverse Functions - 11) Derivative of Inverse Function

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Chapter 2.1: Inverse Functions - 12) Practice of Inverse Prime

106

Chapter 2.1: Inverse Functions - 01) intro

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Chapter 2.1: Inverse Functions - 02) Example 1

108

Chapter 1.6: Linearization and Differentials - 05) Example not in textbook

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Chapter 1.6: Linearization and Differentials - 06) Example 5: Bacteria

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Chapter 1.6: Linearization and Differentials - 07) Relative Change

111

Chapter 1.6: Linearization and Differentials - 08) Analysis of E

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Chapter 1.6: Linearization and Differentials - 09) Differential Formulas

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Chapter 1.5: Business and Economic Optimization Problems - 03) Example 3: Average Cost

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Chapter 1.5: Business and Economic Optimization Problems - 04) Example 4: Stereos

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Chapter 1.5: Business and Economic Optimization Problems - 05) Example 5: Theatre

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Chapter 1.5: Business and Economic Optimization Problems - 06) Elasticity of Demand

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Chapter 1.5: Business and Economic Optimization Problems - 07) Elasticity of Demand Revisited

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Chapter 1.5: Business and Economic Optimization Problems - 08) Relative Change

119

Chapter 1.6: Linearization and Differentials - 01) Linearization

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Chapter 1.6: Linearization and Differentials - 02) Example 1

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Chapter 1.6: Linearization and Differentials - 03) Examples 2 and 3

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Chapter 1.6: Linearization and Differentials - 04) Differentials

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Chapter 1.5: Business and Economic Optimization Problems - 01) Example 1

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Chapter 1.5: Business and Economic Optimization Problems - 02) Example 2: Bicycles

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Chapter 1.3: Concavity and the Second Derivative - 12) Example 11

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Chapter 1.3: Concavity and the Second Derivative - 13) Example 12

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Chapter 1.3: Concavity and the Second Derivative - 14) Implicit Differentiation

128

Chapter 1.4: Geometric Optimization Problems - 01) Examples 1 and 2

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Chapter 1.4: Geometric Optimization Problems - 02) Example 3: Rancher

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Chapter 1.4: Geometric Optimization Problems - 03) Example 4: Open Top

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Chapter 1.4: Geometric Optimization Problems - 04) Example 5: River

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Chapter 1.3: Concavity and the Second Derivative - 03) Example 3

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Chapter 1.3: Concavity and the Second Derivative - 04) Example 4

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Chapter 1.3: Concavity and the Second Derivative - 05) Concavity and Points of Inflection

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Chapter 1.3: Concavity and the Second Derivative - 06) Concavity and 2nd Derivative

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Chapter 1.3: Concavity and the Second Derivative - 07) Example 5

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Chapter 1.3: Concavity and the Second Derivative - 08) 2nd Derivative Test for Relative Extrema

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Chapter 1.3: Concavity and the Second Derivative - 09) Example 6

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Chapter 1.3: Concavity and the Second Derivative - 10) Example 8

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Chapter 1.3: Concavity and the Second Derivative - 11) Example 10

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Chapter 1.3: Concavity and the Second Derivative - 01) Higher Order Derivatives

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Chapter 1.3: Concavity and the Second Derivative - 02) Example 2

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Chapter 1.2: First Derivative Test - 03) Example 3

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Chapter 1.2: First Derivative Test - 04) Example 4

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Chapter 1.2: First Derivative Test - 05) Example 5

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Chapter 1.2: First Derivative Test - 06) Example 6

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Chapter 1.1: Extrema of a Function - 06) Example 2 and 3

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Chapter 1.1: Extrema of a Function - 07) Finding Extreme Values

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Chapter 1.1: Extrema of a Function - 08) Critical Point Test Theroem

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Chapter 1.1: Extrema of a Function - 09) Example 6

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Chapter 1.2: First Derivative Test - 01) First Derivative test

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Chapter 1.2: First Derivative Test - 02) Examples 1 and 2

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Brief Review - 01) Part One

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Brief Review - 02) Part Two

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Brief Review - 03) Part Three

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Brief Review - 04) Part Four

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Chapter 1.1: Extrema of a Function - 01) Continuous Functions and Intervals

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Chapter 1.1: Extrema of a Function - 02) Maximums and Minimums

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Chapter 1.1: Extrema of a Function - 03) Extreme Value Theorem

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Chapter 1.1: Extrema of a Function - 04) Relative Max. and Min.

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Chapter 1.1: Extrema of a Function - 05) Critical Numbers and Points