EE 2030-1

Brief

Linear algebra is a branch of mathematics that studies systems of linear equations and the properties of matrices. The concepts of linear algebra are extremely useful in engineering, physics, economics and social sciences, and natural sciences. In this class, we hope to build a solid foundation of elementary linear algebra for students. Various applications of linear algebra in different areas will also be addressed.

Description

1. 上課教室(classroom)︰台達館217 (Delta 217) 2. 上課時間(class hours)︰星期三 (Wed) 10:10 ~ 12:00, 星期五 (Fri) 10:10 ~ 12:00 PM 3. 任課老師(Lecture)︰馮開明 (Kai-Ming Feng) 辦公室(Office)︰台達館921室 (Delta 921) 4. Office Hours: To be determined 5. 助教(TA)︰To be determined (辦公室(TA Office)：資電館604室, EECS building R604) 6. 教科書(Textbook)： S. H. Friedberg, A. J. Insel, and L. E. Spence, "Linear Algebra," 4th Ed, Prentice Hall, 2014 7. 課程內容(Course contents)： Chap. 1 Vector Spaces: (9/13 ~ 10/4) Vector Spaces, Subspaces, Linear Combinations, Linear Equation systems, Linear Dependence and Independence, Basis and Dimension Chap. 2 Linear Transformations and Matrices (10/4 ~ 10/25) Linear Transformation, Null Spaces, Range, Matrix Representation of Linear Transformation, Composition of Linear Transformations and Matrix Multiplication, Invertibility and Isomorphisms, Change of Coordinate Matrix 1st Midterm 10/27 10 AM (25%) Chap. 3 Elementary Matrix Operations and Systems of Linear Equations (11/1 ~ 11/8) Elementary Matrix Operations and Elementary Matrices, The Rank of a Matrix and Matrix Inverses, Systems of Linear Equations Chap. 4 Determinants (11/8 ~ 11/17) Determinants of order 2 and n, Properties of Determinants 2nd Midterm 11/22 10 AM (20%) Chap. 5 Diagonalization (11/24 ~ 12/15) Eigenvalues and Eigenvectors, Diagonalizability, Invariant Subspaces and the Cayley-Hamilton Theorem Chap. 6 Inner Product Spaces (12/15 ~ 1/5) Inner Products and Norms, The Gram-Schmidt Orthogonalization Process, The Adjoint of a Linear Operator, Normal and Self-Adjoint Operators, Unitary and Orthogonal Operators, Orthogonal Projections and the Spectral Theorem, SVD and Pseudoinverse. Final 1/12 10:10 AM (30%) 8. 成績考核： Examination: (Midterm 1: 25%, Midterm 2: 20%, Final: 30 %) Homework: (25 %) 作業請勿抄襲。如經助教認定抄襲，被抄襲與抄襲者該次作業以-100計算！ 請於上課前繳交。若無特殊理由，逾時繳交不予受理！ 作業請以釘書機或長尾夾固定好。未釘牢之作業也不予受理。 9. 講義位址 (Course Material Download Website): eeClass (https://eeclass.nthu.edu.tw) 10. 加簽順序：(加簽至教室最大容量) 1. 電資院二年級同學 2. 電資院高年級學生(含雙主修、但不包含輔系、第二專長) 3. 電資院一年級學生 4. 其他學院以電資院科系為輔系之同學 5. 其他學院以電資院科系為第二專長之同學 6. 其他學院學生(依年級高低排序) PS. 雙主修、輔系、第二專長之認定以校務資訊系統之登載為基準 Extra Selection Precedence: 1. Sophomore students of EECS college 2. Junior or Senior students of EECS college, including double major in EECS college 3. Freshman students of EECS college 4. Students from other college who are pursuing minor degree in EECS 5. Students from other college who enroll their 2nd professional specialty in EECS 6. Other students in decent grade order PS. Double major, Minor degree and the 2nd professional specialty are recognized according to the official registration records in the Academic Information Systems

Timetable

Scores

Average GPA 2.55

Std. Deviation 1.27

Remarks

本課程每週上課150分鐘，其餘時間由教授彈性運用

Restrictions

電機系大學部2年級,電資院學士班大學部2年級優先，第3次選課起開放全校修習

Compulsory

Elective

Cross Discipline

First Specialization

Second Specialization