Engineering Mathematics(II) - 102 Academic Year

本課程是由 國立陽明交通大學材料科學與工程學系提供。

Textbook:AD. G. Zill and M. R. Cullen, “Advanced Engineering Mathematics,” 4th edition, Jones & Bartlett (2010).

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Instructor(s) Department Of Materials Science And Engineering Prof. Yung-Jung Hsu
Course Credits 3 Credits
Academic Year 102 Academic Year
Level College Students
Prior Knowledge Engineering Mathematics(I)
Related Resources Course Video   Course Syllabus   Course Calendar 

WeekCourse ContentCourse Video
Week 01矩陣之基本介紹與定義Watch Online
Week 02各種矩陣型式之介紹與線性代數系統之矩陣應用Watch Online
Week 02線性代數系統之矩陣應用, 矩陣之階次Watch Online
Week 03矩陣之線性系統Watch Online
Week 03矩陣之行列式與倒數Watch Online
Week 04矩陣之倒數Watch Online
Week 04矩陣之線性代數系統與特徵值Watch Online
Week 05矩陣之特徵值Watch Online
Week 05矩陣之特徵值與對角線化Watch Online
Week 06矩陣之對角線化與正交矩陣Watch Online
Week 06正交矩陣Watch Online
Week 07聯立微分方程式之介紹Watch Online
Week 07利用特徵值尋找齊性解Watch Online
Week 08利用特徵值與對角線化尋找齊性解Watch Online
Week 08利用對角線化尋找齊性解Watch Online
Week 09傅立葉級數之定義與基本介紹Watch Online
Week 09奇函數與偶函數之傅立葉級數與意義Watch Online
Week 11利用分離變數法解偏微分方程式(1/4)Watch Online
Week 11利用分離變數法解偏微分方程式(2/4)Watch Online
Week 12利用分離變數法解偏微分方程式(3/4)Watch Online
Week 12利用分離變數法解偏微分方程式(4/4)Watch Online
Week 13利用Laplace轉換解偏微分方程式Watch Online
Week 14向量函數與空間曲線之介紹Watch Online
Week 14切線,法線相量, 曲率之介紹(1/2)Watch Online
Week 15切線,法線相量, 曲率之介紹(2/2)Watch Online
Week 15方向導數之介紹Watch Online
Week 16方向導數與線積分之介紹Watch Online
Week 17Vector Calculus 線積分之介紹Watch Online
Week 17Vector Calculus 雙重積分之介紹Watch Online
Week 18Vector Calculus 三重積分之介紹Watch Online

課程目標

This lecture aims to provide the students with an integrated knowledge required for the understanding and application of mathematical concepts and techniques.

The emphasis will be on the application of mathematical methods to solving practical engineering problems. Upon satisfactory completion of the subject, students are expected to be able to:
(i) apply mathematical reasoning to analyze essential features of different engineering problems;
(ii) apply appropriate mathematical techniques to model and solve problems in engineering;
(iii) search for useful information in solving problems;
(iv) undertake continuous learning.

 

課程章節

章節 章節內容
第一章 Matrix operation
第二章Solutions of differential equations by matrices
第三章Power series
第四章Solutions of differential equations by power series
第五章Fourier series
第六章Solutions of partial differential equations
第七章Vector analysis and calculation


課程書目

D. G. Zill and M. R. Cullen, “Advanced Engineering Mathematics,” 5th edition, Jones & Bartlett (2012).

 

評分標準

項目百分比
Homework30%
Midterm exam25%
Final exam25%
Report10%
Note10%

本課程行事曆提供課程進度與考試資訊參考。

學期週次
上課日期
參考課程進度

第一週

02/17、0218
  • Matrices
第二週0224、02/25
  • Matrices
第三週03/03、03/04
  • Matrices
第四週03/10、03/11
  • Matrices
第五週03/17、03/18
  • Matrices
第六週03/24、03/25
  • Matrices、System of Linear Differential Equation
第七週03/31、04/01
  • System of Linear Differential Equation
第八週04/07、04/08
  • System of Linear Differential Equation
第九週04/14、04/15
  • System of Linear Differential Equation、Fourier Series
第十週04/21、04/22
  • Fourier Series
第十一週04/28、04/29
  • Fourier Series
第十二週05/05、05/06
  • Fourier Series
第十三週05/12、05/13
  • Fourier Series 
第十四週05/19、05/20
  • Fourier Series
第十五週05/26、05/27
  •  
第十六週06/02、06/03
  •  
第十七週06/09、06/10
  •  
第十八週06/16、06/17
  •