教學大綱表 (111學年度 第2學期)
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課程名稱
Course Title
(中文) 管理數學(二)
(英文) Managerial Mathmatics
開課單位
Departments
事業經營學系
課程代碼
Course No.
B3372A
授課教師
Instructor
陳瑞璽
學分數
Credit
3.0 必/選修
core required/optional
必修 開課年級
Level
大一
先修科目或先備能力(Course Pre-requisites):管理數學(一)
課程概述與目標(Course Overview and Goals):本課程旨在介紹數學方法在管理問題上之應用,以培養學生數學模型建立、求解、分析與決策等能力。
教科書(Textbook) Armstrong and Davis, "Brief Calculus for the Business, Social, and Life Sciences" The Third Edition (滄海圖書代理)
參考教材(Reference)
圖書館電子書(E-book of the Library) Business calculus demystified
author: Huettenmueller, Rhonda
McGraw-Hill
課程大綱 Syllabus 學生學習目標
Learning Objectives
單元學習活動
Learning Activities
學習成效評量
Evaluation
備註
Notes

No.
單元主題
Unit topic
內容綱要
Content summary
1 chapter 5 applications of the derivative 5.1 first derivatives and graphs
5.2 optimizing functions on a closed interval
學習以一階導數去圖出初圖  
2 chapter 5 applications of the derivative 5.3 the second derivatives and graphs
5.4 the second derivative test and optimization
學習以二階導數畫圖及求解最適化問題  
3 chapter 5 applications of the derivative 5.5 graphical analysis and curve sketching
5.6 elasticity of demand
5.7 implicit differentiation and related rates
運作導數之求解於經濟問題  
4 chapter 6 integration 6.1 the indefinite integral
6.2 area, the definite integral, and the fundamental
學習不定積分及定積分  
5 chapter 6 integration 6.3 integral calculus and total accumulation
6.4 integration by u-substitution
學習求解積分之方法,替代法  
6 chapter 6 integration 6.5 integrals that yield logarithmic and exponential functions 指數與對數積分之計算  
7 chapter 7 applications of integral calculus 7.1 average value of a function and the definite integral in finance
7.2 area between curves and applications
以積分求二條線所夾之面積  
8 ch5~ch7.2 複習 活用專業知識解決問題,強化學習  
9 Mid-Term Exam 1.考試範圍:第一週~第八週之課程內容 檢驗學習成效  
10 chapter 7 applications of integral calculus 7.3 economics applications of area between two curves
7.4 integration by parts
積分在經濟學上的應用及部份積分  
11 chapter 7 applications of integral calculus 7.5 numerical integration
7.6 improper integrals
暇積分之求解  
12 chapter 7 applications of integral calculus 7.7 differential equations: separation of variables
7.8 differential equations: growth and decay
微分方程之簡介  
13 chapter 8 calculus of several variables 8.1 functions of several variables
8.2 level curves, contour maps, and cross-sectional analysis
多變數函數之介紹  
14 chapter 8 calculus of several variables 8.3 partial derivatives and second-order partial derivatives 偏微分及二次偏微分  
15 chapter 8 calculus of several variables 8.4 maxima and minima 求解多變數函數之最適化問題  
16 chapter 8 calculus of several variables 8.5 lagrange multipliers 受條件限制下之最適化問題求解  
17 chapter 8 calculus of several variables 8.6 double integrals 雙重積分求解  
18 Final Exam 1.考試範圍:第十~十七週課程內容 檢驗學習成效  


教學要點概述:
1.自編教材 Handout by Instructor:
□ 1-1.簡報 Slids
□ 1-2.影音教材 Videos
□ 1-3.教具 Teaching Aids
□ 1-4.教科書 Textbook
□ 1-5.其他 Other
□ 2.自編評量工具/量表 Educational Assessment
□ 3.教科書作者提供 Textbook

成績考核 Performance Evaluation: 期末考:30%   期中考:30%   其他評量:10%   作業:30%  

教學資源(Teaching Resources):
□ 教材電子檔(Soft Copy of the Handout or the Textbook)
□ 課程網站(Website)
課程網站(Website):學校網路大學管理數學網站
扣考規定:http://eboard.ttu.edu.tw/ttuwebpost/showcontent-news.php?id=504