Introduction 1Part 1: The Questions 5Chapter 1: Algebra Review 7Chapter 2: Trigonometry Review 17Chapter 3: Limits and Rates of Change 29Chapter 4: Derivative Basics 43Chapter 5: The Product, Quotient, and Chain Rules 49Chapter 6: Exponential and Logarithmic Functions and Tangent Lines 55Chapter 7: Implicit Differentiation 59Chapter 8: Applications of Derivatives 63Chapter 9: Areas and Riemann Sums 75Chapter 10: The Fundamental Theorem of Calculus and the Net Change Theorem 79Chapter 11: Applications of Integration 87Chapter 12: Inverse Trigonometric Functions, Hyperbolic Functions, and L'Hôpital's Rule 101Chapter 13: U-Substitution and Integration by Parts 109Chapter 14: Trigonometric Integrals, Trigonometric Substitution, and Partial Fractions 115Chapter 15: Improper Integrals and More Approximating Techniques 123Part 2: The Answers 127Chapter 16: Answers and Explanations 129Index 581
Patrick Jones has a master's degree in Mathematics from the University of Louisville. He has taught at University of Louisville, Vanderbilt University, and Austin Community College. Jones now primarily spends his time expanding his Youtube video library as PatrickJMT.