NCHU Course Outline
Course Name (中) 線性代數(一)(1133)
(Eng.) Linear Algebra(I)
Offering Dept Department of Applied Mathematics
Course Type Required Credits 4 Teacher 郭容妙
Department Department of Applied Mathematics / Undergraduate Language Chinese Semester 2025-FALL
Course Description 第一學期的線性代數,主要在強調向量空間的線性轉換和矩陣運算之間的共生關係,利用此關係來構建矩陣運算的理論基礎。



Prerequisites
Relevance of Course Objectives and Core Learning Outcomes(%) Teaching and Assessment Methods for Course Objectives
Course Objectives Competency Indicators Ratio(%) Teaching Methods Assessment Methods
學生對線性代數的理論基礎有所了解,並能將其應用於計算上。
1.Basic Knowledge in Mathematical Sciences
2.Professional Knowledge in Mathematical Analysis
30
70
Lecturing
Quiz
Course Content and Homework/Schedule/Tests Schedule
Week Course Content
Week 1 Vector Spaces
Week 2 Subspaces
Week 3 Linear Combinations
Week 4 Elementary Matrix Operations
Week 5 Systems of Linear Equations
Week 6 Linear Dependence and Linear Independence
Week 7 Bases and Dimension
Week 8 Bases and Dimension
Week 9 Linear Transformations, Null spaces and Ranges
Week 10 Linear Transformations, Null spaces and Ranges
Week 11 The Matrix Representation of a Linear Transformation
Week 12 Composition of Linear Transformations
Week 13 Invertibility and Isomorphisms
Week 14 The Change of Coordinate Matrix
Week 15 The Rank of a Matrix and Matrix Inverses
Week 16 Final Exam
self-directed
learning
   02.Viewing multimedia materials related to industry and academia.

Evaluation
Quizzes: 20%
Midterm Exam: 40%
Final Exam: 40%
Textbook & other References
Linear Algebra; S.H. Friedberg, A.J.Insel, L.E.Spence; Prentice Hall

Teaching Aids & Teacher's Website
iLearning
Office Hours
Monday 16:00~17:00
Tuesday 12:00~13:00

Sustainable Development Goals, SDGs(Link URL)
include experience courses:N
Please respect the intellectual property rights and use the materials legally.Please respect gender equality.
Update Date, year/month/day:2025/08/13 11:15:01 Printed Date, year/month/day:2026 / 3 / 03
The second-hand book website:http://www.myub.com.tw/