課程資訊

Calculus (general Mathematics) (a)(1)

104-1

MATH1201

201 101A1

03

Ceiba 課程網頁
http://ceiba.ntu.edu.tw/1041MATH1201_03

1. Functions and Models
2. Limits and Derivatives
3. Differentiation Rule
4. Applications of Differentiation
5. Integrals
6. Applications of Integration
7. Techniques of Integration
8. Further Applications of Integration
9. Differential Equations
10. Parametric Equations and Polar Coordinates

After taking this class, students should be able to compute differentiation and integration of functions of one variable. Also students should comprehend the concept of various kinds of limit.

Students should attend lectures and do the weekly homeworks.

Office Hours

James Stewart, Calculus Early Transcendentals, 7th edition. ( Metric Version )

(僅供參考)

 No. 項目 百分比 說明 1. 期中考 40% 2. 期末考 40% 3. 平時成績 20% 包括小考與作業

 課程進度
 週次 日期 單元主題 第1週 9/14,9/16,9/18 [1.5] Exponential Functions
[1.6] Inverse Functions and Logarithms
[2.1] The Tangent and Velocity Problems
[2.2] The Limit of a Function

[2.4] The Precise Definition of a Limit
[2.5] Continuity
[2.6] Limits at Infinity; Horizontal Asymptotes

[2.8] The Derivative as a Function
[3.1] Derivatives of Polynomials and Exponential Functions
[3.2] The Product and Quotient Rules

[3.4] The Chain Rule
10/5(一) Quiz 1
10/9(五)國慶紀念日遇例假日補假

[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

[4.1] Maximum and Minimum Values

10/19(一) Quiz 2

[4.3] How Derivatives Affect 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] Newton’s Method（※）
[4.9] Antiderivatives

11/2(一) Quiz 3

[5.2] The Definite Integral
[5.3] The Fundamental Theorem of Calculus
[5.4] Indefinite Integrals and the Net Change Theorem

[6.1] Areas Between Curves
[6.2] Volumes
[6.3] Volumes by Cylindrical Shells

[6.5] Average Value of a Function
[7.1] Integration by Parts
[7.2] Trigonometric Integrals

[7.4] Integration of Rational Functions by Partial Fractions
[7.5] Strategy for Integration
[7.7] Approximate Integration
11/30(一) Quiz 4

[8.1] Arc Length

[8.3] Applications to Physics and Engineering
[8.4] Applications to Economics and Biology（※）
[8.5] Probability（※）
[9.1] Modeling with Differential Equations
12/14(一) Quiz 5

[9.4] Models for Population Growth
[9.5] Linear Equations
[10.1] Curves Defined by Parametric Equations

[10.3] Polar Coordinates
12/28(一) Quiz 6
1/1(五) 開國紀念日放假一天

[10.6] Conic Sections in Polar Coordinates