1. Function limits §1. Limit of function 7 §2. Limiting Properties of Functions 12 §3. Determination of undetermined coefficient 23 Exercise 1 26 2. Continuation of functions §1. Continuous function 28 §2. Maximum/minimum theorem and inter-value theorem 36 Exercise 2 39 3. Differentiation of functions §1. Derivative coefficient 41 §2. Derivative 50 §3. Differential Method 53 Exercise 3 63 4. Tangent and Differentiation of Curves §1. The geometric meaning of differential coefficients 65 §2. Tangent Equation 68 §3. Mean Value Theorem 74 Exercise 4 79 5. Maximum/minimum and differential §1. Increase and decrease function 81 §2. Maximum and minimum functions 84 Exercise 5 97 6. Maximum/minimum and derivative §1. Function max and min 100 §2. Maximum and minimum conjugation 104 Exercise 6 109 7. Equations·Inequalities and Differentiation §1. Equations and Differentiation 111 §2. Inequality and Differentiation 118 Exercise 7 122 8. Velocity·Acceleration and Differentiation §1. Speed ​​and Acceleration 124 §2. Instantaneous rate of change of a function with respect to time 128 Exercise 8 134 9. Negative integral §1. Definition of negative integral 135 §2. Calculation of Indefinite Integral 138 Exercise 9 145 10. Static §1. Definition of Definiteness 147 §2. Definite integral calculation 156 Exercise 10 166 11. Functions defined as static §1. Functions Defined as Definite 169 Exercise 11 177 12. Area and integral §1. Area between curve and axes 179 §2. Area Between Two Curves 187 Exercise 12 196 13. Speed·Distance and Integration §1. Speed ​​and Distance 199 Exercise 13 205