課程資訊
課程名稱
微積分乙下
CALCULUS (GENERAL MATHEMATICS) (B)(2) 
開課學期
97-2 
授課對象
醫學檢驗暨生物技術學系  
授課教師
劉瓊如 
課號
MATH1204 
課程識別碼
201 101B2 
班次
07 
學分
全/半年
全年 
必/選修
必修 
上課時間
星期二3,4(10:20~12:10)星期四9(16:30~17:20) 
上課地點
新103新202 
備註
大二以上限20人.兼通識A6。
限本系所學生(含輔系、雙修生)
總人數上限:100人 
Ceiba 課程網頁
http://ceiba.ntu.edu.tw/972med 
課程簡介影片
 
核心能力關聯
本課程尚未建立核心能力關連
課程大綱
為確保您我的權利,請尊重智慧財產權及不得非法影印
課程概述

1. The continuity of chapter 7 from the first semester: exponential growth and decay, inverse of trigonometric functions, Hyperbolic functions, indeterminate forms and L’Hospital’s Rule
2. Techniques of Integration: integration by parts, trigonometric integrals, trigonometric substitution, integration of rational functions by partial fractions, approximate integration. improper integrals,
3. Further applications of integration: arc length, area of surface of revolution, application to Physics, Engineering, application to Economics and Biology, Probability.
4. Differential Equation: Modeling with differential equations, direction fields and Euler’s Method, separable equations, linear equations, Predator-Prey Systems.
5. Parametric equations and polar coordinates: curves defined by parametric equations, polar coordinates, areas and lengths in polar coordinates, conic sections, conic sections in polar coordinates.
6. Infinite sequences and series: sequences, series, the integral test and estimate of sums, comparison tests, alternating series, absolute convergence, the ratio and root test, power series, representations of functions as power series, Taylor and Maclaurin series, application of Taylor polynomials
7. Vectors and the geometry of space: dot product, cross product, equations of lines and planes, cylinders and quadric surfaces
8. Vector functions: vector functions and space curves, arc length and curvature, derivatives and integral of vector functions
9. Partial derivatives: Functions of several variables, limits and continuity, partial derivatives, tangent planes and linear approximations, the chain rule, directional derivatives and the gradient vector, maximum and minimum values, Lagrange Multipliers 

課程目標
We will complete the techniques of integration with one variable. In order to understand a function with one variable, we will learn the Taylor series of a function. We will introduce the context of functions with several variables. We will also learn polar coordinates for two variable and other coordinates systems for better expression. We will learn the calculus with several variables functions and vector functions 
課程要求
 
Office Hours
每週二 16:00~17:00 
參考書目
Calculus by James Steward-metric international version 
指定閱讀
 
評量方式
(僅供參考)
 
No.
項目
百分比
說明
1. 
期中考 
40% 
 
2. 
期末考 
40% 
 
3. 
隨堂測驗 
20% 
 
4. 
作業 
0% 
 
5. 
報告 
0% 
 
 
課程進度
週次
日期
單元主題
第1週
2/17,2/19  7-5,7-6 
第11週
4/28,4/30  10-3, 10-4 
第12週
5/05,5/07  10-4, 10-5, 第四次小考