Calculus In 5 Hours: Welcome and Table of Contents
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Welcome to website version of the book Calculus in 5 Hours! In this series of lessons I'll take you from knowing nothing about Calculus to having a broad overview with the main tools and concepts that are typically learned over the course of a college semester. Next to each lesson is the expected amount of time it will take to read through the lesson. If you've never been through a Calculus course before, then go through these lessons in order to gain a solid understanding of the subject.
Oh yeah, if you're looking for a print or ebook version of the book, go here.
- Part 1 - Functions and an Overview of Calculus (27 minutes)
- Chapter 1 - Functions (10 minutes)
- Chapter 2 - Straight Lines and Polynomials (7 minutes)
- Chapter 3 - Combining Functions (7 minutes)
- Chapter 4 - The Two Basic Concepts of Calculus (3 minutes)
- Part 2 - Derivatives (127 minutes)
- Chapter 5 - Understanding Derivatives (25 minutes)
- Chapter 6 - Your First Four Derivatives (12 minutes)
- Chapter 7 - The Tangent Line (3 minutes)
- Chapter 8 - The Derivative of a Polynomial (16 minutes)
- Chapter 9 - The Product Rule (12 minutes)
- Chapter 10 - The Quotient Rule (13 minutes)
- Chapter 11 - The Chain Rule (16 minutes)
- Chapter 12 - Attaching Real World Meaning to Variables and Functions (7 minutes)
- Chapter 13 - Attaching Real World Meaning to Derivatives (13 minutes)
- Chapter 14 - Second Derivatives (10 minutes)
- Part 3 - The Geometry of Functions (67 minutes)
- Chapter 15 - The Mean-Value Theorem (7 minutes)
- Chapter 16 - Increasing and Decreasing Functions (2 minutes)
- Chapter 17 - Using Derivatives to Find Where a Function Increases and Decreases (15 minutes)
- Chapter 18 - Critical Points (6 minutes)
- Chapter 19 - Maxima and Minima (1 minute)
- Chapter 20 - The Relationship Between Maxima, Minima, and Critical Points (5 minutes)
- Chapter 21 - Using Derivatives to Find Maxima and Minima (12 minutes)
- Chapter 22 - Concavity (5 minutes)
- Chapter 23 - Using Second Derivatives to Determine Concavity (6 minutes)
- Chapter 24 - Inflection Points (8 minutes)
- Part 4 - Integrals (67 minutes)
- Chapter 25 - Understanding Integrals (11 minutes)
- Chapter 26 - Antiderivatives (20 minutes)
- Chapter 27 - The Fundamental Theorem of Integral Calculus (17 minutes)
- Chapter 28 - Rules of Integrals (7 minutes)
- Chapter 29 - Negative Integrals (5 minutes)
- Chapter 30 - Using Integrals to Find Average Values (7 minutes)
- Part 5 - Exponential and Logarithm Functions (12 minutes)
