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. The Extreme Value Theorem and the Intermediate Value Theorem 37 Exercises 2 40 3. Differentiation of Functions §1. Differential Coefficients 42 §2. Derivatives 52 §3. Differentiation Methods 55 Exercises 3 63 4. Tangent Lines to Curves and Differentiation §1. Geometric Meaning of the Differential Coefficient 65 §2. Equation of the Tangent Line 68 §3. The Mean Value Theorem 75 Exercises 4 79 5. Local Maxima/Minima and Differentiation §1. Increasing and Decreasing Functions 81 §2. Local Maxima and Minima of Functions 85 Exercises 5 99 6. Maximum/Minimum and Differentiation §1. Maximum and Minimum of Functions 102 §2. Applications of Maximum and Minimum 106 Exercises 6 110 7. Equations, Inequalities, and Differentiation §1. Equations and Differentiation 112 §2. Inequalities and Differentiation 119 Exercises 7 122 8. Velocity, Acceleration, and Differentiation §1. Velocity and Acceleration 123 §2. Instantaneous Rate of Change of a Function with Respect to Time 128 Exercises 8 132 9. Indefinite Integrals §1. Definition of the Indefinite Integral 133 §2. Calculating Indefinite Integrals 136 Exercises 9 142 10. Definite Integrals §1. Definition of the Definite Integral 143 §2. Calculating Definite Integrals 151 Exercises 10 161 11. Functions Defined by Definite Integrals §1. Functions Defined by Definite Integrals 164 Exercises 11 174 12. Area and Integration §1. Area Between a Curve and the Coordinate Axes 175 §2. Area Between Two Curves 184 Exercises 12 192 13. Velocity, Distance, and Integration §1. Velocity and Distance 195 Exercises 13 202