課程資訊
課程名稱
 微積分乙下
CALCULUS (GENERAL MATHEMATICS) (B)(2) 
開課學期
 96-2 
授課對象
 生命科學系  
授課教師
 陳 宏 
課號
 MATH1204 
課程識別碼
 201 101B2 
班次
 08 
學分
 3 
全/半年
 全年 
必/選修
 必帶 
上課時間
 星期二3,4(10:20~12:10)星期三1(8:10~9:00)星期四9(16:30~17:20) 
上課地點
 新203新203新203 
備註
 限本系所學生(含輔系、雙修生)
總人數上限：120人 
Ceiba 課程網頁
 http://ceiba.ntu.edu.tw/962Calculus08 
課程簡介影片
 
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課程概述

In spring semester, it covers basic topics in multi-variable calculus and linear systems of differential equations. In addition, it covers some material on calculus-based probability theory such as discrete and continuous probability distributions, and law of large numbers. Central limit theorem will be illustrated through normal approximation to binomial distribution. As an application of probability theory, the concept of confidence interval will be discussed. For multi-variable calculus, it includes partial derivatives, extremes, Lagrange multiplier, and double integrals.  

課程目標
 1. To understand and be able to use calculus and probability to describe the dynamics of life. 2. To think in probabilistic terms in dealing with uncertainty in our daily lives. 3. To provide students with the fundamental ideas and tools of calculus that will put them in a good position for understanding more technical work in life sciences.  
課程要求
 Must attend 演習課 on every Wednesday from 8:10~9:00.  
預期每週課後學習時數
  
Office Hours
 每週二 08:30~10:00 
指定閱讀
  
參考書目
 Textbook: Calculus for the Life Sciences by Greenwell, Ritchey, and Lial.
 
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. 
 演習課及習題 
10% 
  
4. 
 小考 
10% 
  
5. 
 報告 
0% 
  
 
課程進度
週次
日期
單元主題
第1週
 2/19,2/20,2/21  Tu: 9.1 Functions of Several Variables,
9.2 Partial Derivatives
Th: 9.2 Partial Derivatives 
第2週
 2/26,2/27,2/28  Tu: 9.3 Maxima and Minima
Th: 放假 
第3週
 3/04,3/05,3/06  Tu: 9.3 Maxima and Minima, 9.4 Total Differentials and Approximations;
Th: 9.4 Total Differentials and Approximations, Double Integral 
第4週
 3/11,3/12,3/13  Tu: 9.5 Double Integrals;
Th: 9.5 Double Integrals 
第5週
 3/18,3/19,3/20  Tu: 9.5 Double Integrals;
Th: 10.1 Solution of Linear Systems 
第6週
 3/25,3/26,3/27  Tu: 10.1 Solution of Linear Systems,
10.2 Addition and Subtraction of Matrices,
10.3 Multiplication of Matrices;
Th: 10.4 Matrix Inverses
 
第7週
 4/01,4/02,4/03  Tu: 10.4 Matrix Inverses, 10.5 Eigenvalues and Eigenvectors;
Th: 10.5 Eigenvalues and Eigenvectors; 11.1 Solutions of Elementary and Separable Differential Equations 
第8週
 4/08,4/09,4/10  Tu: 11.1 Solutions of Elementary and Separable Differential Equations;
Th: Review 
第9週
 4/15,4/16,4/17  Tu: 期中考(Chapters 9 and 10);
Wed: 11.2 Linear First-Order Differntial Equations Th: 11.2 Linear First-Order Differntial Equations 
第10週
 4/22,4/23,4/24  Tu: 11.2 Linear First-Order Differntial Equations; 11.3 Euler's Method;
Th: 11.4 Linear Systems of Differential Equations 
第11週
 4/29,4/30,5/01  Tu: 11.4 Linear Systems of Differential Equations, 11.5 Nonlinear Systems of Differential Equations, 11.6 Applications of Differential Equations;
Th: No Class 
第12週
 5/06,5/07,5/08  Tu: 11.6 Applications of Differential Equation, 12.1 Sets, 12.2 Introduction to Probability, 12.3 Conditional Probablity; Independent Events; Bayes' Theorem,
Th: 12.4 Discrete Random Variables; Applications to Decision Making 
第13週
 5/13,5/14,5/15  Tu: 12.3 Conditional Probablity; Independent Events; Bayes' Theorem, 12.4 Discrete Random Variables Law of Large Numbers 
第14週
 5/20,5/21,5/22  Tu: 12.4 Applications to Decision Making, Poisson Approximation to Binomial Distribution;
Th: 13.1 Continuous Probability Models  
第15週
 5/27,5/28,5/29  Tu: 13.1 Continuous Probability Models; Law of Large Numbers
Th: Class is cancelled. 
第16週
 6/03,6/04,6/05  Tu: 13.2 Expected Valued and Variance of Continuous Random Variables Th: 13.3 Special Probability Density Functions
Normal Approximation of Binomial Distribution;
Th: Change of Variables 
第17週
 6/10,6/11,6/12  Tu, Th: Review