微積分甲(一)
Calculus A (I)
| 節 | 週一 | 週四 |
|---|---|---|
3 10:10–11:00 | 微積分甲(一) SC106（光復） 2 節連堂 | |
4 11:10–12:00 | ||
7 15:30–16:20 | 微積分甲(一) SC106（光復） 2 節連堂 | |
8 16:30–17:20 |
* 根據陽明交大上課時間表所列
教師未提供此項資料
高中數學
◆ 為選教內容，不列入微積分會考考試範圍。 ◆ 為選教內容，不列入微積分會考考試範圍。 ◆ 為選教內容，不列入微積分會考考試範圍。 ◆ 為選教內容，不列入微積分會考考試範圍。 ◆ 為選教內容，不列入微積分會考考試範圍。 ◆ 為選教內容，不列入微積分會考考試範圍。 ◆ 為選教內容，不列入微積分會考考試範圍。
Additional information will be explained to students during the first class meeting.
(1) Quizzes and homework will account for 30% of the final grade. Weekly homework will be announced after class on Thursdays. Assignments should be submitted as PDF files via the E3 system. Late homework will not be accepted! If a quiz is given, it will be held on a Monday, with at least one week's prior notice. (2) The first midterm exam will account for 20%, and the second midterm exam will account for 20% of the final grade. The exam schedule and coverage will be announced in class. (3) The NYCU Calculus Final Examination will account for 30% of the final grade.
Functions and Models
◆1.3 New Functions from Old Functions 1.4 Exponential Functions 1.5 Inverse Functions and Logarithms
- 講授：
- 3
備註：◆ 為選教內容，不列入微積分會考考試範圍。
Limits and Derivatives
2.2 The Limit of a Function 2.3 Calculating Limits Using the Limit Laws 2.4 The Precise Definition of a Limit 2.5 Continuity 2.6 Limits at Infinity;Horizontal Asymptotes 2.7 Derivatives and Rates of Change 2.8 The Derivative as a Function
- 講授：
- 8
Differentiation Rules
3.1 Derivatives of Polynomials and Exponential Functions 3.2 The Product and Quotient Rules 3.3 Derivatives of Trigonometric Functions 3.4 The Chain Rule 3.5 Implicit Differentiation 3.6 Derivatives of Logarithmic Functions ◆3.7 Rates of Change in the Natural and Social Sciences ◆3.8 Exponential Growth and Decay ◆3.9 Related Rates 3.10 Linear Approximations and Differentials ◆3.11 Hyperbolic Functions
- 講授：
- 8
備註：◆ 為選教內容，不列入微積分會考考試範圍。
Applications of Differentiation
4.1 Maximum and Minimum Values 4.2 The Mean Value Theorem 4.3 What Derivatives Tell Us about the Shape of a Graph 4.4 Indeterminate Forms and L’Hospital's Rule 4.5 Summary of Curve Sketching ◆4.7 Optimization Problems ◆4.8 Newtons Method 4.9 Antiderivatives
- 講授：
- 7
備註：◆ 為選教內容，不列入微積分會考考試範圍。
Integrals
5.1 The Areas and Distance Problems 5.2 The Definite Integral 5.3 The Fundamental Theorem of Calculus 5.4 Indefinite Integrals and the Net Change Theorem 5.5 The Substitution Rule
- 講授：
- 6
Applications of Integration
6.1 Areas Between Curves 6.2 Volumes 6.3 Volumes by Cylindrical Shells ◆6.5 Average Value of a Function
- 講授：
- 3
備註：◆ 為選教內容，不列入微積分會考考試範圍。
Techniques of Integration
7.1 Integration by Parts 7.2 Trigonometric Integrals 7.3 Trigonometric Substitution 7.4 Integration of Rational Functions by Partial Fractions ◆7.5 Strategy for integration ◆7.7 Approximate Integration 7.8 Improper Integrals
- 講授：
- 7
備註：◆ 為選教內容，不列入微積分會考考試範圍。
Further Applications of Integration
8.1 Arc Length 8.2 Area of a Surface of Revolution ◆8.3 Applications to Physics and Engineering ◆8.4 Applications to Economics and Biology ◆8.5 Probability
- 講授：
- 3
備註：◆ 為選教內容，不列入微積分會考考試範圍。
Parametric Equations and Polar Coordinates
◆10.1 Curves Defined by Parametric Equations ◆10.2 Calculus with Parametric Curves
備註：◆ 為選教內容，不列入微積分會考考試範圍。
| 週次 | 主題 |
|---|---|
| 第 1 週 | 2026-09-07(一),2026-09-10(四) |
| 第 2 週 | 2026-09-14(一),2026-09-17(四) |
| 第 3 週 | 2026-09-21(一),2026-09-24(四) |
| 第 4 週 | 2026-09-28(一),2026-10-01(四) |
| 第 5 週 | 2026-10-05(一),2026-10-08(四) |
| 第 6 週 | 2026-10-12(一),2026-10-15(四) |
| 第 7 週 | 2026-10-19(一),2026-10-22(四) |
| 第 8 週 | 2026-10-26(一),2026-10-29(四) |
| 第 9 週 | 2026-11-02(一),2026-11-05(四) |
| 第 10 週 | 2026-11-09(一),2026-11-12(四) |
| 第 11 週 | 2026-11-16(一),2026-11-19(四) |
| 第 12 週 | 2026-11-23(一),2026-11-26(四) |
| 第 13 週 | 2026-11-30(一),2026-12-03(四) |
| 第 14 週 | 2026-12-07(一),2026-12-10(四) |
| 第 15 週 | 2026-12-14(一),2026-12-17(四) |
| 第 16 週 | 2026-12-21(一),2026-12-24(四) |
Calculus (Early Transcendentals), James Stewart, 9th Edition
- 地點
- SA238
- 時間
- 教師未提供此項資料
- 聯絡方式
- sswangtw@nycu.edu.tw