Course Information

課程名稱：線性代數（一）
Course Title: Linear Algebra (I)
課程時間：週一及週三 13:20～15:10（週三 13:20–14:10 為探索課）
Class Hours: Monday and Wednesday, 13:20–15:10 (Wednesday 13:20–14:10 is an exploratory learning session)
課程地點：教學大樓 S503 教室
Classroom: General Building, Room S503

Course Topics

  • Systems of linear equations and Gaussian elimination
  • Matrix algebra, inverse matrices, elementary matrices, and LU factorization
  • Linear transformations, kernels, ranges, and matrix representations
  • Determinants and their applications
  • Subspaces, linear independence, bases, dimension, rank, and nullity
  • Coordinate systems, change of basis, and similarity
  • Eigenvalues, eigenvectors, characteristic polynomials, and diagonalization

Grading Policy

  • Class participation: 10%
  • In-class quizzes: 10%
  • Midterm and final exams: 80%

Important Dates

  • October 12: Midterm Exam
  • November 16: Midterm Exam
  • December 21: Final Exam

Reference

  • L. E. Spence, A. J. Insel, and S. H. Friedberg, Elementary Linear Algebra: A Matrix Approach, 2nd ed., Pearson, 2014.