Description 1. Limits of Functions §1. Limits of Functions 7 §2. Properties of Limits of Functions 12 §3. Determining Undetermined Coefficients 23 Exercises 1 26 2. Continuity of Functions §1. Continuous Functions 28 §2. Extreme Value Theorem and Intermediate Value Theorem 36 Exercises 2 39 3. Differentiation of Functions §1. Differential Coefficients 41 §2. Derivatives 50 §3. Differentiation Methods 53 Exercises 3 63 4. Tangent Lines of Curves and Differentiation §1. Geometric Meaning of the Differential Coefficient 65 §2. Equations of Tangent Lines 68 §3. Mean Value Theorem 74 Exercises 4 79 5. Maxima, Minima, and Differentiation §1. Increasing and Decreasing Functions 81 §2. Local Maxima and Minima of Functions 84 Exercises 5 97 6. Maximum, Minimum, and Differentiation §1. Maximum and Minimum of Functions 100 §2. Applications of Maximum and Minimum 104 Exercises 6 109 7. Equations, Inequalities, and Differentiation §1. Equations and Differentiation 111 §2. Inequalities and Differentiation 118 Exercises 7 122 8. Velocity, Acceleration, and Differentiation §1. Velocity and Acceleration 124 §2. Instantaneous Rate of Change of a Function with Respect to Time 128 Exercises 8 134 9. Indefinite Integrals §1. Definition of Indefinite Integrals 135 §2. Calculation of Indefinite Integrals 138 Exercises 9 145 10. Definite Integrals §1. Definition of Definite Integrals 147 §2. Calculation of Definite Integrals 156 Exercises 10 166 11. Functions Defined by Definite Integrals §1. Functions Defined by Definite Integrals 169 Exercises 11 177 12. Area and Integration §1. Area Between a Curve and the Coordinate Axes 179 §2. Area Between Two Curves 187 Exercises 12 196 13. Velocity, Distance, and Integration §1. Velocity and Distance 199 Exercises 13 205