Introduction 1
Part I: The Questions 5
Chapter 1: Algebra Review 7
Chapter 2: Trigonometry Review 17
Chapter 3: Limits and Rates of Change 29
Chapter 4: Derivative Basics 43
Chapter 5: The Product, Quotient, and Chain Rules 49
Chapter 6: Exponential and Logarithmic Functions and Tangent Lines 55
Chapter 7: Implicit Differentiation 59
Chapter 8: Applications of Derivatives 63
Chapter 9: Areas and Riemann Sums 75
Chapter 10: The Fundamental Theorem of Calculus and the Net Change Theorem 79
Chapter 11: Applications of Integration 87
Chapter 12: Inverse Trigonometric Functions, Hyperbolic Functions, and L'Hopital's Rule 99
Chapter 13: U-Substitution and Integration by Parts 107
Chapter 14: Trigonometric Integrals, Trigonometric Substitution, and Partial Fractions 113
Chapter 15: Improper Integrals and More Approximating Techniques 121
Part II: The Answers 125
Chapter 16: Answers and Explanations 127
Index 595
Patrick Jones has a masters degree in mathematics from the University of Louisville and has taught at the University of Louisville, Vanderbilt University, and Austin Community College. Jones now primarily spends his time expanding his YouTube video library as PatrickJMT and has amassed more than 280,000 subscribers.
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