微積分(一)
Calculus I
學期
108-1
學分
3
學分
當期課號
A011
永久課號
A9939
開課單位
教務處
校區
陽明
類別
選修
上課時間表
| 節 | 週一 |
|---|---|
2 09:00–09:50 | 微積分(一) YX501 3 節連堂 |
3 10:10–11:00 | |
4 11:10–12:00 |
* 根據陽明交大上課時間表所列
週次計畫
| 週次 | 主題 |
|---|---|
| 第 1 週 | The Limit of a Function, Calculating Limits Using the Limit Laws (1.4-2.2) |
| 第 2 週 | The Precise Definition of a Limit and Continuity (2.4-2.5), Limits at Infinity |
| 第 3 週 | Derivative (2.6-2.8) quiz#1 |
| 第 4 週 | More about derivatives; Chain Rule; Implicit Differentiation |
| 第 5 週 | Logarithmic Functions (3.4-3.6), Exponential Functions and Applications quiz#2 |
| 第 6 週 | Maximum and Minimum; Mena Value Theorem (4.1-4.2) and Applications |
| 第 7 週 | Shape of Graph, Indefinite Form and l''Hospital''s Rule (4.3-4.4) ; Curve Sketching (I) quiz#3 |
| 第 8 週 | Curve Sketching (4.5-4.6) (II) Optimization (4.7) |
| 第 9 週 | 期中考 |
| 第 10 週 | Antiderivative; The Definite Integral (4.9-5.2) |
| 第 11 週 | The Fundamental Theorem of Calculus; Indefinite Integrals (5.3-5.4) |
| 第 12 週 | The Substitution Rule; Area Between Curves (5.5-6.1) quiz#4 |
| 第 13 週 | Volumes (Shell Method Slice Method); Work*; Average of Functions* (6.2-6.5) |
| 第 14 週 | Integration by Parts (7.1) quiz#5 |
| 第 15 週 | Trigonometric Integrals; Trigonometric Substitution (7.2-7.3) |
| 第 16 週 | Integration of Rational Functions; Strategy for Integration and CAS* (7.4-7.6) quiz#6 |
| 第 17 週 | Improper Integrals |
| 第 18 週 | 期末考 |