Cut the Crap Calculus 1: An anything but fancy guide through Beginner

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Bol Written by a 16 year old Sophomore in Highschool, and a self studier of higher level mathematics. Have you ever read a book and thought, "Goodness gracious, I have no idea what the heck this guy is saying." So have I, and I have decided to counter such an ugly world of incomprehensible math with one that is made to be learned. Books of mathematics are far too concerned with impressing colleagues and hiding their incapabilities behind textbook definitions and assumptions of knowledge. I believe that math is made to teach. So I promise you there will be a definitional or grammatical error in this book, but I also promise you that you will learn more than you ever have in your life. Welcome to the world of Calculus! Table of Contents: Chapter 1: Limits and Continuity - Limits - Determining Limits - DNE and Directional Limits - Limits to Infinity - The Squeeze Theorem - Properties of Limits - Continuity - Filling in the Holes >Chapter 2: Differential Calculus - The Derivative - Notation - The Power Rule - The Product Rule - The Quotient Rule - Trig Derivatives - Exponential Derivatives >Chapter 3: Funky Derivatives - Implicit Differentiation - The Derivative of an Inverse >Chapter 4: Derivatives in Context - Higher Order Differentiation - The Root Rule - Related Rates - Linear Approximation >Chapter 5: Optimization Chapter 6: Integral Calculus: - Riemann Summation - The Fundamental Theorem of Calculus - Anti-Power Rule - Indefinite Integration - Trigonometric Integration >Chapter 7: Applications of Integration - More Physics - The Area Between Curves - Slope Fields >Chapter 8: Geometry with Integrals - Cross Sections - Disc Method - Washer Method

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Written by a 16 year old Sophomore in Highschool, and a self studier of higher level mathematics. Have you ever read a book and thought, "Goodness gracious, I have no idea what the heck this guy is saying." So have I, and I have decided to counter such an ugly world of incomprehensible math with one that is made to be learned. Books of mathematics are far too concerned with impressing colleagues and hiding their incapabilities behind textbook definitions and assumptions of knowledge. I believe that math is made to teach. So I promise you there will be a definitional or grammatical error in this book, but I also promise you that you will learn more than you ever have in your life. Welcome to the world of Calculus! Table of Contents: Chapter 1: Limits and Continuity - Limits - Determining Limits - DNE and Directional Limits - Limits to Infinity - The Squeeze Theorem - Properties of Limits - Continuity - Filling in the Holes >Chapter 2: Differential Calculus - The Derivative - Notation - The Power Rule - The Product Rule - The Quotient Rule - Trig Derivatives - Exponential Derivatives >Chapter 3: Funky Derivatives - Implicit Differentiation - The Derivative of an Inverse >Chapter 4: Derivatives in Context - Higher Order Differentiation - The Root Rule - Related Rates - Linear Approximation >Chapter 5: Optimization Chapter 6: Integral Calculus: - Riemann Summation - The Fundamental Theorem of Calculus - Anti-Power Rule - Indefinite Integration - Trigonometric Integration >Chapter 7: Applications of Integration - More Physics - The Area Between Curves - Slope Fields >Chapter 8: Geometry with Integrals - Cross Sections - Disc Method - Washer Method


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