課程資訊

Calculus (general Mathematics) (a)(1)

104-1

MATH1201

201 101A1

08

Ceiba 課程網頁
http://ceiba.ntu.edu.tw/1041MATH1201_08

Study the process of approximation and its limitation (errors), learn the tools and techniques for analyzing regular mappings with applications, and deepen the understanding of elementary functions.

Study the process of approximation and its limitation (errors), learn the tools and techniques for analyzing regular mappings with applications, and deepen the understanding of elementary functions.

High School Mathematics
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% 細節請看微甲二組統一教學網站 2. 期末考 40% 細節請看微甲二組統一教學網站 3. 小考 20% 細節由演習課教學助理另訂

 課程進度
 週次 日期 單元主題 第1週 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
[2.3] Calculating Limits Using the Limit Laws

[2.5] Continuity
[2.6] Limits at Infinity; Horizontal Asymptotes
[2.7] Derivatives and Rates of Change

[3.1] Derivatives of Polynomials and Exponential Functions
[3.2] The Product and Quotient Rules
[3.3] Derivatives of Trigonometric Functions

[3.5] Implicit Differentiation
10/7(三) 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
[3.11] Hyperbolic Functions（※）

[4.1] Maximum and Minimum Values
[4.2] The Mean Value Theorem
10/21(三) Quiz 2

[4.4] Indeterminate Forms and L’Hospital’s Rule
[4.5] Summary of Curve Sketching
[4.6] Graphing with Calculus and Calculators（※）
[4.7] Optimization Problems

[4.9] Antiderivatives
[5.1] Areas and Distances

11/4(三) Quiz 3

[5.3] The Fundamental Theorem of Calculus
[5.4] Indefinite Integrals and the Net Change Theorem
[5.5] The Substitution Rule

[6.2] Volumes
[6.3] Volumes by Cylindrical Shells
[6.4] Work（※）
[6.5] Average Value of a Function

[7.2] Trigonometric Integrals
[7.3] Trigonometric Substitution
[7.4] Integration of Rational Functions by Partial Fractions

[7.6] Integration Using Tables and Computer Algebra Systems（※）
[7.7] Approximate Integration（※）
[7.8] Improper Integrals
[8.1] Arc Length
12/2(三) Quiz 4

[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（※）

[9.2] Direction Fields and Euler's Method
[9.3] Separable Equations
[9.4] Models for Population Growth
12/16(三) Quiz 5

[9.6] Predator-Prey Systems（※）

[10.2] Calculus with Parametric Curves
1/1(五) 開國紀念日放假一天

[10.4] Areas and Lengths in Polar Coordinates
[10.6] Conic Sections in Polar Coordinates

1/6(三) Quiz 6