|
Course title |
工程數學二
Engineering Mathematics (Ⅱ) |
|
Semester |
107-2 |
|
Designated for |
DEPARTMENT OF CHEMICAL ENGINEERING |
|
Instructor |
邱文英 |
|
Curriculum Number |
ChemE2008 |
|
Curriculum Identity Number |
504 27120 |
|
Class |
01 |
|
Credits |
3.0 |
|
Full/Half
Yr. |
Half |
|
Required/
Elective |
Required |
|
Time |
Wednesday 2(9:10~10:00) Friday 3,4(10:20~12:10) |
|
Room |
新302新302 |
|
Remarks |
按上學期班別選班。(將以上學期本班名單代入)
Restriction: within this department (including students taking minor and dual degree program)
The upper limit of the number of students: 61. |
|
Ceiba Web Server |
http://ceiba.ntu.edu.tw/1072ChemE2008_01 |
|
Course introduction video |
|
|
Table of Core Capabilities and Curriculum Planning |
Table of Core Capabilities and Curriculum Planning |
|
Course Syllabus
|
|
Please respect the intellectual property rights of others and do not copy any of the course information without permission
|
|
Course Description |
Introduction of mathematical tools and theories commonly used in the fields of Engineering |
|
Course Objective |
1. be familiar with the relevant theories of Boundary Value Problems (BVPs), eigenvalues, eigenfunctions; know how to apply them to analyzing engineering problems
2. understand the properties of orthogonal functions, and expand general functions by the Generalized Fourier Series
3. be acquainted with the relevant concepts/theories of Fourier Series, Fourier Integral, and Fourier Transform, know how to apply these to analyzing engineering problems
4. be familiar with the important theories and concepts of Partial Differential Equations and utilize them to analyzing common engineering problems (such as heat conduction, diffusion, and wave propagation)
5. understand the important operations and relevant theories of matrices
6. learn how to use different approaches to solving a set of simultaneous differential equations
7. Vector Calculus (line integrals, surface integrals, triple integrals, and vector field theorems) |
|
Course Requirement |
Matrix II
1. Diagonalization
2. Functions of square matrices
3. Application on ODE
Boundary Value Problems (BVP)
1. Overview of concepts
2. Boundary value problems
3. Sturm-Lioville equation
Generalized Fourier Series
1. Orthogonal and orthonormal functions
2. Orthogonal expansion
3. Fourier series
4. Fourier integral
5. Fourier transform
Partial Differential Equation
1. Overview of concepts and theories
2. Solution by compounding variables
3. Solution by separation of variables
4. Solution by Laplace transforms
Vector Calculus
1. Line integrals, surface integrals, triple integrals
2. Vector field theorem
教學要點概述：
1. 課前預習
2. 評量方法:
(a) 三次考試，各佔25%
(b) 隨堂小考，佔15%
(c) 作業，佔10%
2. 教學方法: 主要利用黑板說明，部分以Power Point配合投影機教學 |
|
Student Workload (expected study time outside of class per week) |
|
|
Office Hours |
|
|
Designated reading |
待補 |
|
References |
1. 教科書“Advanced Engineering Mathematics” by Erwin Kreyszig, 10th Edition Update
2. 講義 |
|
Grading |
|