課程資訊

Calculus (general Mathematics) (a)(1)

102-1

MATH1201

201 101A1

04

Ceiba 課程網頁
http://ceiba.ntu.edu.tw/1021A04

One variable calculus

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.

(僅供參考)

 No. 項目 百分比 說明 1. 期中考 40% 考試時間: 2013.11.02(六) 13:30∼16:00 考試範圍 1.5∼4.9 (英文命題) 2. 期末考 40% 考試時間:2014.01.04(六) 13:30∼16:00 考試範圍 5.1∼10.6 (英文命題) 3. 習題課小考 20% 考試時間:習題課上課15分鐘

 課程進度
 週次 日期 單元主題 第1週 9/09,9/11,9/13 [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
9/20(五)中秋節連續放假一天

[2.7] Derivatives and Rates of Change
[2.8] The Derivative as a Function
[3.1] Derivatives of Polynomials and Exponential Functions

[3.3] Derivatives of Trigonometric Functions
[3.4] The Chain Rule
[3.5] Implicit Differentiation

[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
[4.2] The Mean Value Theorem

[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

[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（※）
11/15(五) 本校校慶 停課一天

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

[7.7] Approximate Integration
[7.8] Improper Integrals
[8.1] Arc Length

[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

[10.2] Calculus with Parametric Curves
[10.3] Polar Coordinates
[10.4] Areas and Lengths in Polar Coordinates
[10.6] Conic Sections in Polar Coordinates